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| Авторизация |
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| Поиск по указателям |
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| Yano K. — Differential geometry on complex and almost complex spaces |
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| Предметный указатель |
*O-space 197 198
Adapted frame 114
Affine connexion 142 240 245
Affine Killing vector 18 35
Affine motion 17
Ako, M. 140 161 168 190 212 318
Almost *O-space 197
Almost analytic structure 278
Almost complex space 110
Almost complex structure 110
Almost constant curvature 231 233
Almost Einstein space 231 232
Almost Hermite space 126 191
Almost Kaehler space 126 140 141 152
Almost product space 234 236
Almost semi-Kaehler space 192
Almost Tachibana space 140 141 176
Analytic subspace 104 106
Analytic tensor 98
Apte, M. 62 86 303
Aragnol, A. 234 303
Associated vector 268
Axiom of holomorphic plane 107 298
Bergmann, S. 303
Betti number 29 30 44 45
Bianehi identity 11
Bochner, S. 1 21 28 29 32 33 45 49 62 103 106 142 145 303 304 318
Boothby, W. 62 110 304
Borel, A. 304
Calabi, E. 62 110 121 304
Cartan, E. 1 305
Cartan, H. 49 305
Chern, S.S. 1 49 62 140 149 305
Christoffel symbol 4
Class  121
Class  1
Coburn, N. 66 305
Codifferential 7
Complex conjugate manifold 50
Complex manifold 49 50
Complex structure 49
Conformal Killing vector 19 40
Conformal Killing vector in almost *O-spaces 205
Conformal Killing vector in almost Kaehler spaces 162 164
Conformal Killing vector in almost Tachibana spaces 185
Conformal Killing vector in locally product spaces 228 231
Conformal motion 19 38 40
conjugate 52
Constant bolomorpbie curvature 75
Constant curvature 12 45 69
Contravariant almost analytic vector 156
Contravariant almost analytic vector in almost *O-spaces 204
Contravariant almost analytic vector in almost Hermite spaces 200
Contravariant almost analytic vector in almost Kaehler spaces 156
Contravariant almost analytic vector in almost semi-Kaehler spaces 202
Contravariant almost analytic vector in almost Tachibana spaces 182
Contravariant analytic vector 84
Contravariant decomposable vector 222
Couty, R. 305
Covariant almost analytic vector 164
Covariant almost analytic vector in almost Hermite spaces 165 206
Covariant almost analytic vector in almost Kaehler spaces 167 169
Covariant almost analytic vector in almost semi-Kaehler spaces 211
Covariant almost analytic vector in almost Tachibana space 186 189
Covariant analytic vector 82
Covariant decomposable vector 223
Covariant derivative 4
Curvature scalar 11
Curvature tensor 8
Curvature tensor in almost Hermite spaces 194
Curvature tensor in almost Kaehler spaces 164
Curvature tensor in almost Tachibana spaces 178
Curvature tensor in Kahler spaces 66 67
Dantzig, D. van 64 149 313
Decomposable tensor 222 223
Decomposable vector 222
distribution 240
Divergence 7 23
Dual of  3
Eckmann, B. 121 137 304 305
Effective tensor 72
Ehresmann, C 110 306
Einstein space 14
Eisenhart, L.P. 1 306
Exterior differential 6
F-connexion 255
Flat distribution 243
Frobenius’s Theorem 125
Froelicher, A. 49 62 121 140 306
Fukami, T. 76 110 132 234 240 306
Fundamental tensor 1 2
Garabedian, P.R. 49 62 307
Gaussian curvature 12
Geodesic 9
Geodesic distribution 243
Goldberg, S.I. 43 66 140 164 307
Gray, J.W. 110 307
Green’s Theorem 21 23
Gugcenheimer, H 28 62 98 152 305 306
H-projective curvature tensor 263 265
H-projective flatness 262
H-projectively flat 262
H-projectively related 258 278
H-projectively transformation 255 258 260 278
Half-symmetric connexion 258 278
Hano, J. 36 86 307 310
Harmonic tensor 8 28 44 72 80 101
Harmonic vector 28 172 190
Hatakeyama, Y. 307
Hawley, U.S. 75 308
Hayden, H.A. 244 308
Hermite manifold 63
Hermite metric 62 63 126 191
Hiramatu, H. 20 308
Hirzebruch, F. 308
Hodge, W.V.D. 28 80 121 308
Holomorphic free mobility 77 79
Holomorphic section 75
Holomorphic sectional curvature 75
Holomorphically planar curve 258
Holomorphically plane 298
Holomorphically projective transformation 260
Hombu, H. 62 308’
Homogenous Kaehler space 72
Homothetic 41
Homothetic motion 20 41
Hopf, E. 24 308
Hopf, H. 49 308
Hsu, C.J., no 308
Hybrid 57 135 215
Hybrid part 59
Infinitesimal affine motion 36
| Integrability condition 107 131
Integrability condition of almost complex spaces 115 118 121 122 124
Integrability condition of almost product spaces 237
Integrable 118 240
Ishihara, S. 36 86 110 140 255 258 259 262 266 270 274 278 280 286 292 298 304 306 309 316
Isotropy algebra 272
Jacobian 1
Kaehler metric 62 64
Kaehler space 92
Kaehler — Einstein space 92
Kaehler, E. 62 64 309
Killing equation 17
Killing vector 17 31
Killing, W. 17 309
Knebelman, M.S. 20 38 309
Kobayashi, S. 36 86 307 309
Kodaira, K. 28 100 309 314
Kojyo, H. 310
Kostant B 43 310
Koszvl, I. 86 310
Koto, S. 98 101 142 180 192 193 195 197 199 203 204 205 263 308 310 312 316 316
Laplacian 8 23
Lee, E.H. 152 310
Legrand, G. 110 310
Length of a vector 10
Levi-Civita’s parallelism 64
Libermann, P. 110 149 306 310
Lichnerowicz, A. 28 36 36 38 40 45 62 86 94 98 110 142 152 164 240 303 310 311
Lie algebra 173
Lie derivative 14 15
Lie difference 15
Linear connexion in a locally product space 217
Linear connexion in complex manifolds 60
Linear isotropy algebra 273
Locally decomposable 219 220
Locally Euclidean space 8 33 39
Locally product space 213 219
Locally product structure 213
Matsushima, Y. 86 92 93 289 311 312
Minimal 106
Mizusawa, H. 199 263 312
Mogi, I. 28 75 76 79 109 312 318
Motion 16
Muto, Y. 312
Myers, S.B. 16 29 31 312
Nagano, T. 35 36 38 86 234 312 318
Nakayama, S. 312
Newlander, A. 121 312
Nijenhuis tensor in almost *O-spaces 199
Nijenhuis tensor in almost complex spaces 120 121
Nijenhuis tensor in almost Hermite spaces 191
Nijenhuis tensor in almost Kaehler spaces 153
Nijenhuis tensor in almost product spaces 239
Nijenhuis tensor in almost Tachibana spaces 176 194
Nijenhuis, A. 121 312 313
Nirenberg, L. 121 312
Nomizu, K. 17 35 36 43 86 309 312
non-holonomic coordinate system 129
non-holonomic object 124 237
Obata, M. 36 142 255 270 309 313
Okumura, M. 316
Orientable 2
Otsuki, T. 262 313
parallel 9 61 218
Parallel displacement 10
Parallel distribution 242
Parallel vector 243
Paterson, E.M. 131 313
Path-parallel 243
Path-parallel distribution 243
Projective curvature tensor 18
Projective Killing vector 18 35 36
Projective Killing vector in almost *O-spaces 205
Projective Killing vector in almost Kaehler spaces 162
Projective Killing vector in almost Tachibana spaces 185
Projective Killing vector in locally product spaces 228 229
Projective motion 18
Pure 57 135 215
Pure part 58
Rauch, H.E. 48 313
Real tensor 55
Real vector 53
Relative scalar 3
Relative tensor 3
Rham, G. de 28 62 240 313 314
Rho ( )-geodesic 293
Ricci curvature 13
Ricci identity 7
Ricci tensor 11
Riemann — Christoffel curvature tensor 8 107
Riemannian space 1
Rotation (Rot w) 5 7
Sang-Seup, E. 314
Sasaki, S. 84 110 314
Sato, I. 38 40 314
Sawaki, S. 93 98 101 142 168 186 188 190 202 208 212 314 315
Schouten, J.A. 1 14 64 86 121 149 298 315
Sectional curvature 12 13
Self-conjugate 52
Self-conjugate covariant vector 54
Self-conjugate tensor 55
Semi-parallel distribution 243
Semi-symmetric connexion 258
Separating coordinate system 213
Shanks, E.B. 20 315
Space of constant curvature 12
Spencer, D.C. 28 49 62 110 121 304 307 309 315
Steenrod, N.E. 16 31 312
Sumitomo, T. 35 38 315
Symmetric space 43
Tachibana space 177
Tachibana, S. 101 140 159 161 163 164 166 167 168 171 172 173 175 213 259 266 280 285 289 292 309 315 316
Tashiro, Y. 262 313 316
Thomas, T.Y. 21 316
Tomanaga, Y. 28 316
Totally geodesic 218
Unit tensor 2
Van der Waerden — Bortolotti derivative 105 242
Vesentini, E. 305
Volume element 4
Wakakuwa, H. 142 316 317
Walker differentiation 137
Walker, A.G. 137 234 240 243 245 254 317
Wang, H.C. 110 307
Watanabe, S. 317
Weil, A. 317
Weingarten’s equation 106 242
Westlakk, W.J. 74 317
Weyl conformal curvature tensor 20
Willmore, T.J. 1 137 234 240 317
Woolf, W.B. 121 313
Yano, K. 1 14 20 21 28 31 33 35 36 38 39 43 45 49 62 66 74 75 76 79 83 84 86 92 106 109 110 121 132 137 142 161 164 168 190 212 234 269 298 304 309 314 315 317 318
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