id sid eid entity type cana-2735 1 1 1074 CARDINAL cana-2735 1 2 32 CARDINAL cana-2735 2 1 4s CARDINAL cana-2735 2 2 2025 CARDINAL cana-2735 2 3 1 CARDINAL cana-2735 2 4 cartan GPE cana-2735 2 5 robin kumar1 PERSON cana-2735 2 6 mohammad rafee2 PERSON cana-2735 2 7 punjab GPE cana-2735 2 8 india GPE cana-2735 2 9 mohd_rafee60@yahoo.com CARDINAL cana-2735 2 10 10-09-2024 CARDINAL cana-2735 2 11 15-11-2024 CARDINAL cana-2735 2 12 25 CARDINAL cana-2735 2 13 cartan GPE cana-2735 3 1 k(x PERSON cana-2735 3 2 Ο‰)+2k CARDINAL cana-2735 3 3 conformally ORG cana-2735 5 1 53b40 CARDINAL cana-2735 5 2 53c60 1 CARDINAL cana-2735 5 3 cartan GPE cana-2735 6 1 e. cartan PERSON cana-2735 6 2 french NORP cana-2735 7 1 2 CARDINAL cana-2735 8 1 cartan GPE cana-2735 8 2 6 CARDINAL cana-2735 9 1 f. brickell PERSON cana-2735 10 1 1 CARDINAL cana-2735 11 1 10 CARDINAL cana-2735 12 1 r. miron PERSON cana-2735 13 1 6 CARDINAL cana-2735 13 2 hamiltonian NORP cana-2735 13 3 hamilton PERSON cana-2735 14 1 cartan GPE cana-2735 14 2 t. igrashi ORG cana-2735 14 3 4 CARDINAL cana-2735 14 4 3 CARDINAL cana-2735 16 1 h.g. nagaraja PERSON cana-2735 17 1 8 CARDINAL cana-2735 17 2 g. shanker PERSON cana-2735 18 1 11 CARDINAL cana-2735 18 2 m. rafee PERSON cana-2735 18 3 9 CARDINAL cana-2735 18 4 15 CARDINAL cana-2735 19 1 13 CARDINAL cana-2735 20 1 section 2 LAW cana-2735 21 1 section 3 LAW cana-2735 22 1 𝛼(π‘₯,πœ” DATE cana-2735 23 1 3 CARDINAL cana-2735 24 1 section 4 LAW cana-2735 25 1 2 CARDINAL cana-2735 25 2 2.1 CARDINAL cana-2735 26 1 𝐢∞ GPE cana-2735 26 2 1074 CARDINAL cana-2735 26 3 32 CARDINAL cana-2735 27 1 4s CARDINAL cana-2735 27 2 2025 CARDINAL cana-2735 27 3 2 CARDINAL cana-2735 27 4 1 CARDINAL cana-2735 27 5 2 CARDINAL cana-2735 29 1 0 CARDINAL cana-2735 29 2 ∈ ORG cana-2735 29 3 3 CARDINAL cana-2735 29 4 1 2 CARDINAL cana-2735 30 1 2.2 CARDINAL cana-2735 31 1 ∈ ORG cana-2735 31 2 ∈ ORG cana-2735 31 3 1 2 CARDINAL cana-2735 32 1 cartan GPE cana-2735 32 2 0 CARDINAL cana-2735 32 3 ∈ 𝑀 ORG cana-2735 32 4 one CARDINAL cana-2735 32 5 0 CARDINAL cana-2735 34 1 2.3 CARDINAL cana-2735 34 2 ∈ 𝑀 ORG cana-2735 34 3 1 2 CARDINAL cana-2735 34 4 1 2 CARDINAL cana-2735 35 1 two CARDINAL cana-2735 37 1 1074 CARDINAL cana-2735 37 2 32 CARDINAL cana-2735 38 1 4s CARDINAL cana-2735 38 2 2025 CARDINAL cana-2735 38 3 3 CARDINAL cana-2735 38 4 2.4 CARDINAL cana-2735 38 5 π‘Žπ‘–π‘—(π‘₯ ORG cana-2735 38 6 𝐢 ORG cana-2735 41 1 𝛼(π‘₯,πœ” DATE cana-2735 42 1 3 CARDINAL cana-2735 42 2 π‘Žπ‘–π‘—(π‘₯ ORG cana-2735 42 3 1 2 CARDINAL cana-2735 43 1 3 CARDINAL cana-2735 43 2 πœŒπ‘Žπ‘–π‘— PERSON cana-2735 44 1 1 CARDINAL cana-2735 44 2 𝜌0 CARDINAL cana-2735 44 3 πœŒβˆ’1 ORG cana-2735 44 4 1 2𝛼 CARDINAL cana-2735 45 1 1 2 CARDINAL cana-2735 45 2 2π‘˜π›Ό2βˆ’2π‘˜2𝛽2 CARDINAL cana-2735 45 3 1 2𝛼 CARDINAL cana-2735 46 1 2π‘˜2𝛽3βˆ’2π‘˜π›Ό2𝛽 CARDINAL cana-2735 46 2 1 2𝛼2 CARDINAL cana-2735 47 1 6π‘˜π›Ό2𝛽2βˆ’5π‘˜2𝛽4βˆ’π›Ό4 2𝛼7 DATE cana-2735 47 2 𝑔𝑖𝑗 = πœŽπ‘Žπ‘–π‘— ORG cana-2735 50 1 2 CARDINAL cana-2735 51 1 1 CARDINAL cana-2735 51 2 2𝛼5 𝛼5βˆ’2π‘˜π›Ό2𝛽2+π‘˜2𝛽4 𝜎0 = 𝜌0 QUANTITY cana-2735 51 3 1074 CARDINAL cana-2735 51 4 32 CARDINAL cana-2735 52 1 4s CARDINAL cana-2735 52 2 2025 CARDINAL cana-2735 52 3 4 CARDINAL cana-2735 52 4 𝐡 ORG cana-2735 53 1 symmetries ORG cana-2735 54 1 non-riemannian NORP cana-2735 55 1 affine manifolds ORG cana-2735 56 1 riemannian NORP cana-2735 57 1 the cartan torsion tensor ORG cana-2735 57 2 πΆπ‘–π‘—π‘˜ ORG cana-2735 57 3 5 CARDINAL cana-2735 57 4 πΆπ‘–π‘—π‘˜ ORG cana-2735 57 5 1 2 CARDINAL cana-2735 57 6 3 CARDINAL cana-2735 57 7 π‘Ÿβˆ’4 ORG cana-2735 57 8 1 2 CARDINAL cana-2735 57 9 1 2𝛼 CARDINAL cana-2735 58 1 6π‘˜2𝛽2βˆ’2π‘˜π›Ό2 CARDINAL cana-2735 58 2 1 2𝛼2 CARDINAL cana-2735 58 3 1 CARDINAL cana-2735 59 1 6π‘˜π›Ό2π›½βˆ’10π‘˜2𝛽3 CARDINAL cana-2735 60 1 π‘Ÿβˆ’4 CARDINAL cana-2735 60 2 1 2𝛼3 CARDINAL cana-2735 60 3 + 3 DATE cana-2735 61 1 35π‘˜2𝛽4βˆ’30π‘˜π›Ό2𝛽2 CARDINAL cana-2735 63 1 1 2 π‘Žπ‘™π‘– QUANTITY cana-2735 65 1 14 CARDINAL cana-2735 67 1 0 CARDINAL cana-2735 68 1 1 2 CARDINAL cana-2735 68 2 π‘”π‘–π‘Ÿ(πœ•π‘—π‘”π‘Ÿπ‘˜ ORG cana-2735 69 1 1074 CARDINAL cana-2735 69 2 32 CARDINAL cana-2735 70 1 4s CARDINAL cana-2735 70 2 2025 CARDINAL cana-2735 70 3 5 CARDINAL cana-2735 70 4 π»π‘—π‘˜ PERSON cana-2735 70 5 𝑁𝑖𝑗 PERSON cana-2735 70 6 1 2 DATE cana-2735 70 7 4 CARDINAL cana-2735 71 1 1 2 CARDINAL cana-2735 71 2 π‘”π‘–π‘Ÿ(πœ•π‘—π‘”π‘Ÿπ‘˜ ORG cana-2735 71 3 5 CARDINAL cana-2735 72 1 1 2 π‘”π‘–π‘Ÿ(π‘₯ QUANTITY cana-2735 72 2 πœ•πœ”π‘Ÿ TIME cana-2735 74 1 6 CARDINAL cana-2735 74 2 2,1 CARDINAL cana-2735 77 1 2.5 CARDINAL cana-2735 78 1 9 CARDINAL cana-2735 78 2 𝛽(πœ” ORG cana-2735 78 3 1 CARDINAL cana-2735 78 4 𝐷𝑖𝑗(= ORG cana-2735 79 1 0 CARDINAL cana-2735 80 1 2 CARDINAL cana-2735 81 1 0 CARDINAL cana-2735 81 2 3 CARDINAL cana-2735 83 1 0 CARDINAL cana-2735 83 2 3 CARDINAL cana-2735 84 1 first ORDINAL cana-2735 84 2 𝛼(π‘₯,πœ” DATE cana-2735 85 1 3 CARDINAL cana-2735 86 1 + 2π‘˜ CARDINAL cana-2735 86 2 2𝛼𝛽𝛽|β„Ž CARDINAL cana-2735 87 1 3 CARDINAL cana-2735 87 2 4𝛼3𝛽3𝛽|β„Ž CARDINAL cana-2735 87 3 3𝛼2𝛽4𝛼|β„Ž CARDINAL cana-2735 87 4 2.5 CARDINAL cana-2735 87 5 0 CARDINAL cana-2735 88 1 0 CARDINAL cana-2735 89 1 0 CARDINAL cana-2735 89 2 𝑔𝑖𝑗(πœ”π‘– DATE cana-2735 93 1 2𝛼𝛽𝛽|β„Žβˆ’π›½2Γ—0 CARDINAL cana-2735 95 1 3 CARDINAL cana-2735 95 2 1074 CARDINAL cana-2735 95 3 32 CARDINAL cana-2735 96 1 4s CARDINAL cana-2735 96 2 2025 CARDINAL cana-2735 96 3 6 CARDINAL cana-2735 96 4 7 CARDINAL cana-2735 99 1 2.5 CARDINAL cana-2735 99 2 0 CARDINAL cana-2735 99 3 0 CARDINAL cana-2735 101 1 2𝛼5 CARDINAL cana-2735 102 1 0 CARDINAL cana-2735 103 1 9 CARDINAL cana-2735 103 2 𝜌0 CARDINAL cana-2735 103 3 2π‘˜π›Ό2βˆ’2π‘˜2𝛽2 CARDINAL cana-2735 103 4 0 CARDINAL cana-2735 104 1 10 CARDINAL cana-2735 104 2 0 CARDINAL cana-2735 105 1 11 CARDINAL cana-2735 106 1 6π‘˜2𝛽2βˆ’2π‘˜π›Ό2 CARDINAL cana-2735 106 2 0 CARDINAL cana-2735 107 1 12 CARDINAL cana-2735 107 2 1 CARDINAL cana-2735 108 1 πœŒπ‘Ž|β„Ž ORG cana-2735 109 1 + π‘Žπ‘–π‘—πœŒ|β„Ž PERSON cana-2735 112 1 + π‘Žπ‘–π‘—πœŒ|β„Ž PERSON cana-2735 116 1 πœŒβˆ’1|β„Ž(π‘π‘–πœ”π‘— ORG cana-2735 119 1 8) CARDINAL cana-2735 119 2 9 CARDINAL cana-2735 119 3 10 CARDINAL cana-2735 119 4 11 CARDINAL cana-2735 119 5 12 CARDINAL cana-2735 119 6 1074 CARDINAL cana-2735 119 7 32 CARDINAL cana-2735 120 1 4s CARDINAL cana-2735 120 2 2025 CARDINAL cana-2735 120 3 7 CARDINAL cana-2735 121 1 0 CARDINAL cana-2735 122 1 two CARDINAL cana-2735 125 1 0 CARDINAL cana-2735 127 1 π»π‘—β„Ž PERSON cana-2735 127 2 0 CARDINAL cana-2735 127 3 13 CARDINAL cana-2735 127 4 π»π‘—β„Ž PERSON cana-2735 128 1 π·β„Žπ‘—π‘˜ PERSON cana-2735 128 2 π‘…β„Žπ‘—π‘˜ PRODUCT cana-2735 128 3 0 DATE cana-2735 128 4 π·β„Žπ‘—π‘˜ PERSON cana-2735 130 1 π‘…β„Žπ‘—π‘˜ NORP cana-2735 130 2 0 CARDINAL cana-2735 130 3 π·β„Žπ‘—π‘˜ PERSON cana-2735 131 1 3.1 CARDINAL cana-2735 131 2 𝛼(π‘₯,πœ” DATE cana-2735 133 1 3 CARDINAL cana-2735 134 1 πΆπ‘–π‘—π‘˜ ORG cana-2735 134 2 7 CARDINAL cana-2735 135 1 0 CARDINAL cana-2735 135 2 14 CARDINAL cana-2735 136 1 6π‘˜2𝛽2βˆ’2π‘˜π›Ό2 CARDINAL cana-2735 136 2 0 CARDINAL cana-2735 136 3 15 CARDINAL cana-2735 136 4 6π‘˜π›Ό2π›½βˆ’10π‘˜2𝛽3 CARDINAL cana-2735 137 1 𝛼7 ∴ PERSON cana-2735 137 2 0 CARDINAL cana-2735 137 3 16 CARDINAL cana-2735 137 4 π‘Ÿβˆ’4 CARDINAL cana-2735 137 5 2𝛼9 PRODUCT cana-2735 137 6 0 CARDINAL cana-2735 137 7 17 CARDINAL cana-2735 137 8 2,1 CARDINAL cana-2735 137 9 πΆπ‘˜ PERSON cana-2735 137 10 1074 CARDINAL cana-2735 137 11 32 CARDINAL cana-2735 138 1 4s CARDINAL cana-2735 138 2 2025 CARDINAL cana-2735 138 3 8 CARDINAL cana-2735 138 4 |β„Ž PERSON cana-2735 138 5 π‘”π‘˜π‘Ÿ CARDINAL cana-2735 141 1 1 2 CARDINAL cana-2735 143 1 1 2 CARDINAL cana-2735 145 1 Γ— 0π‘Ÿβˆ’4|β„Ž + πœŒβˆ’1 Γ— (π‘Žπ‘Ÿπ‘–π‘π‘—)|β„Ž + ORG cana-2735 145 2 πœŒβˆ’2 Γ— (π‘Žπ‘Ÿπ‘–πœ”π‘—)|β„Ž + π‘Žπ‘Ÿπ‘–πœ”π‘— Γ— 0πœŒβˆ’2|β„Ž + ORG cana-2735 146 1 1 2 CARDINAL cana-2735 147 1 1 2 CARDINAL cana-2735 152 1 0 CARDINAL cana-2735 152 2 18 CARDINAL cana-2735 153 1 𝐢 ORG cana-2735 153 2 0 CARDINAL cana-2735 154 1 12 CARDINAL cana-2735 155 1 18 CARDINAL cana-2735 155 2 3.2 CARDINAL cana-2735 156 1 𝛼(π‘₯,πœ” DATE cana-2735 157 1 3 CARDINAL cana-2735 157 2 12 CARDINAL cana-2735 158 1 3.1 CARDINAL cana-2735 158 2 3.2 DATE cana-2735 158 3 3.3 CARDINAL cana-2735 158 4 𝛼(π‘₯,πœ” DATE cana-2735 159 1 3 CARDINAL cana-2735 160 1 1074 CARDINAL cana-2735 160 2 32 CARDINAL cana-2735 161 1 4s CARDINAL cana-2735 161 2 2025 CARDINAL cana-2735 161 3 9 CARDINAL cana-2735 161 4 4 CARDINAL cana-2735 162 1 conformally ORG cana-2735 164 1 𝛼(π‘₯,πœ” DATE cana-2735 165 1 3 CARDINAL cana-2735 165 2 π‘Žπ‘–π‘—(π‘₯ ORG cana-2735 165 3 1 2 CARDINAL cana-2735 166 1 π‘’πœŽπΎ(𝛼 ORDINAL cana-2735 166 2 π‘Žπ‘–π‘—(π‘₯ ORG cana-2735 166 3 1 2 CARDINAL cana-2735 166 4 1 2 CARDINAL cana-2735 166 5 1 2 CARDINAL cana-2735 166 6 1 2 CARDINAL cana-2735 166 7 riemannian NORP cana-2735 166 8 second ORDINAL cana-2735 167 1 1 2 CARDINAL cana-2735 167 2 1074 CARDINAL cana-2735 167 3 32 CARDINAL cana-2735 168 1 4s CARDINAL cana-2735 168 2 2025 CARDINAL cana-2735 168 3 10 CARDINAL cana-2735 168 4 1 2 CARDINAL cana-2735 168 5 πœ•π‘’2πœŽπ‘Žπ‘˜π‘™(π‘₯,πœ” PERSON cana-2735 169 1 βˆ’ πœ•π‘’2πœŽπ‘Žπ‘žπ‘˜(π‘₯,πœ” PERSON cana-2735 170 1 1 2 𝑒2πœŽπ‘Žπ‘™π‘ QUANTITY cana-2735 170 2 πœ•π‘Žπ‘˜π‘™ ORG cana-2735 172 1 + π‘Žπ‘™π‘ž DATE cana-2735 173 1 1 2 𝑒2πœŽπ‘Žπ‘™π‘ QUANTITY cana-2735 173 2 πœ•π‘Žπ‘˜π‘™ ORG cana-2735 175 1 1 2 CARDINAL cana-2735 175 2 πœ•π‘Žπ‘˜π‘™ πœ•π‘₯π‘ž ORG cana-2735 177 1 2π‘Žπ‘˜π‘™ CARDINAL cana-2735 178 1 2π‘Žπ‘žπ‘˜ πœ•πœŽ MONEY cana-2735 178 2 1 2 π‘Žπ‘™π‘ QUANTITY cana-2735 182 1 conformally ORG cana-2735 182 2 + π΅π‘žπ‘˜ PERSON cana-2735 182 3 19 CARDINAL cana-2735 182 4 π΅π‘žπ‘˜ ORG cana-2735 185 1 20 CARDINAL cana-2735 185 2 20 CARDINAL cana-2735 185 3 1 CARDINAL cana-2735 185 4 21 CARDINAL cana-2735 185 5 19 CARDINAL cana-2735 185 6 π·β„Žπ‘ž ORG cana-2735 186 1 π‘π‘€β„Ž DATE cana-2735 186 2 π·β„Žπ‘ž 𝑝 WORK_OF_ART cana-2735 187 1 22 CARDINAL cana-2735 187 2 π·β„Žπ‘ž 𝑝 ORG cana-2735 187 3 conformally ORG cana-2735 188 1 4.1 CARDINAL cana-2735 189 1 𝛼(π‘₯,πœ” DATE cana-2735 190 1 3 CARDINAL cana-2735 191 1 conformally ORG cana-2735 191 2 connection π·π‘žπ‘˜ PERSON cana-2735 191 3 π·β„Žπ‘žπ‘˜ PERSON cana-2735 191 4 22 CARDINAL cana-2735 191 5 π·β„Žπ‘žπ‘˜ PERSON cana-2735 192 1 23 CARDINAL cana-2735 192 2 21 CARDINAL cana-2735 193 1 π·β„Žπ‘žπ‘˜ PERSON cana-2735 193 2 1074 CARDINAL cana-2735 193 3 32 CARDINAL cana-2735 195 1 4s CARDINAL cana-2735 195 2 2025 CARDINAL cana-2735 195 3 11 CARDINAL cana-2735 197 1 4.2 CARDINAL cana-2735 198 1 𝛼(π‘₯,πœ” DATE cana-2735 199 1 3 CARDINAL cana-2735 201 1 conformally ORG cana-2735 202 1 π·β„Žπ‘žπ‘˜ PERSON cana-2735 203 1 π‘…β„Žπ‘žπ‘˜ PERSON cana-2735 203 2 4.2 CARDINAL cana-2735 203 3 23 CARDINAL cana-2735 203 4 𝐢 ORG cana-2735 204 1 4.3 CARDINAL cana-2735 204 2 𝛼(π‘₯,πœ” DATE cana-2735 205 1 3 CARDINAL cana-2735 207 1 𝛼(π‘₯,πœ” DATE cana-2735 208 1 3 CARDINAL cana-2735 209 1 zero CARDINAL cana-2735 210 1 spacetime GPE cana-2735 212 1 1 CARDINAL cana-2735 212 2 f. brickell PERSON cana-2735 214 1 25(1972 CARDINAL cana-2735 215 1 360–364 CARDINAL cana-2735 216 1 2 CARDINAL cana-2735 216 2 e. cartan PERSON cana-2735 217 1 les espaces de finsler. ORG cana-2735 218 1 79 CARDINAL cana-2735 218 2 herman GPE cana-2735 218 3 peris PERSON cana-2735 218 4 1934 DATE cana-2735 219 1 3 CARDINAL cana-2735 220 1 cartan GPE cana-2735 221 1 1994 DATE cana-2735 222 1 78–82 CARDINAL cana-2735 223 1 4 CARDINAL cana-2735 224 1 hamilton PERSON cana-2735 225 1 1992 DATE cana-2735 226 1 151–161 CARDINAL cana-2735 227 1 5 CARDINAL cana-2735 227 2 manoj kumar et al PERSON cana-2735 228 1 landsberg PERSON cana-2735 229 1 aut ORG cana-2735 229 2 4.2 CARDINAL cana-2735 229 3 2023 CARDINAL cana-2735 230 1 105–112 CARDINAL cana-2735 231 1 6 CARDINAL cana-2735 231 2 r. miron PERSON cana-2735 233 1 1987 DATE cana-2735 234 1 329–334 CARDINAL cana-2735 235 1 7 CARDINAL cana-2735 235 2 r. miron PERSON cana-2735 238 1 22 CARDINAL cana-2735 238 2 1998 DATE cana-2735 239 1 1–38 CARDINAL cana-2735 240 1 8 CARDINAL cana-2735 242 1 turk NORP cana-2735 243 1 j. math. PERSON cana-2735 244 1 31 CARDINAL cana-2735 244 2 2007 DATE cana-2735 246 1 363–369 CARDINAL cana-2735 247 1 9 CARDINAL cana-2735 247 2 m. rafee PERSON cana-2735 247 3 gc chaubey PERSON cana-2735 248 1 z. shen’s PERSON cana-2735 249 1 far east journal of mathematical sciences ORG cana-2735 249 2 108 CARDINAL cana-2735 249 3 1 CARDINAL cana-2735 249 4 2018 DATE cana-2735 250 1 123–131 CARDINAL cana-2735 251 1 10 CARDINAL cana-2735 252 1 hamilton PERSON cana-2735 253 1 d. van nostrand co. ORG cana-2735 253 2 london GPE cana-2735 253 3 1966 DATE cana-2735 254 1 11 CARDINAL cana-2735 254 2 g. shanker PERSON cana-2735 256 1 4 (2010 DATE cana-2735 257 1 41–48 TIME cana-2735 258 1 12 CARDINAL cana-2735 258 2 singh GPE cana-2735 259 1 conformally minkowski ORG cana-2735 259 2 miron ORG cana-2735 260 1 indian NORP cana-2735 261 1 26.4 CARDINAL cana-2735 261 2 1993 DATE cana-2735 262 1 339–346 CARDINAL cana-2735 263 1 13 CARDINAL cana-2735 263 2 kumar tripathi PERSON cana-2735 264 1 cartan GPE cana-2735 265 1 arxiv preprint arxiv:1912.12176 ORG cana-2735 265 2 2019 DATE cana-2735 266 1 14 CARDINAL cana-2735 266 2 shaikh u.c. de PERSON cana-2735 266 3 j. sengupta PERSON cana-2735 267 1 narosa publishing house ORG cana-2735 267 2 new delhi GPE cana-2735 267 3 2008 DATE cana-2735 268 1 15 CARDINAL cana-2735 268 2 vinod kumar PERSON cana-2735 268 3 mohammad rafee PERSON cana-2735 270 1 2024 CARDINAL cana-2735 271 1 405–415 CARDINAL