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Yano K. — Differential geometry on complex and almost complex spaces
Yano K. — Differential geometry on complex and almost complex spaces

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Название: Differential geometry on complex and almost complex spaces

Автор: Yano K.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1965

Количество страниц: 326

Добавлена в каталог: 07.06.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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 $C^{\omega}$      121
Class $C^{\propto}$      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 $\omega$      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 ($\rho$)-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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