Kolar I., Michor P.W., Slovak J. — Natural Operations in Differential Geometry :: Электронная библиотека попечительского совета мехмата МГУ

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Kolar I., Michor P.W., Slovak J. — Natural Operations in Differential Geometry

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Название: Natural Operations in Differential Geometry

Авторы: Kolar I., Michor P.W., Slovak J.

Язык:

Рубрика: Математика/Геометрия и топология/Дифференциальная геометрия/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1993

Количество страниц: 434

Добавлена в каталог: 25.11.2004

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Mixed curvature      232
Modified curvature operator      402
Modugno      227 257 262 263 295 340 393
Molino      48
Montgomery      43 45 310
Morimoto      297 355
Morphism of fibered manifolds      15
Morphism operator      173
Morrow      81
Multihomogeneous component      218
Multiindex      118
Multilinear version of Peetre theorem      179
Multipolarization      219
Nagata      5 81
Natural affne bundle      142
Natural bilinear concomitants      75
Natural bundle      138
Natural operator      143 174
Natural transformation      58
Natural vector bundle      56 141
Naymark      130 131 285
Neeb      48
Newlander      75
Nijenhuis      68 75 116 138 210 255
Nijenhuis tensor      75
Nijenhuis-Richardson bracket      68
Nilpotent      130
Nirenberg      75
Nomizu      81 100 107 162 166 403
Nonlinear Peetre theorem      179
normalizer      44
Object of type $\alpha$       170
One parameter subgroup      35
Orbit      44
Order (s, r)      401
Orthogonal group      31
Orthonormal frame bundle      94
Ozeki      81
Palais      83 116 138 168 210 222 282
Patodi      265 266 267 295
Peetre      176 210
Plaque      27
Pohl      363
Point property      330 335
Pointed local skeleton      170
Polarization technique      218
Polynomial map      218
Pontryagin forms      270
Pradines      334
Principal bundle atlas      87
Principal connection      100 159
Principal fiber bundle      87
Principal fiber bundle homomorphism      89
Principal prolongations of Lie groups      150
Principal prolongations of principal bundles      150
Principal right action      87
Product of manifolds      10
Product preserving functor      308
Pseudo tensorial forms of type l      154
Pullback      78
Pullback vector bundle      53
Pure manifold      4
Quaternionic unitary group      33
Quaternionically linear      33
Quaternionically unitary      33
Quinn      4
r-th jet group (or the r-th differential group) of type $\alpha$       171
r-th order curvature equations      235
r-th order curvature subspace      236
r-th order frame bundle of A      171
r-th order Ricci equations      240
r-th order Ricci subspace      240
r-th order skeleton of $\mathcal{C}$       171
r-th order tangent vector      123
Radziszewski      229 248
Reduction of the structure group      90
Regular functor      171
Regular operator      143
Reinhart      166
Representation      38 131
Restricted holonomy group      82 106
Restricted Lie derivative      377
Rice      294
Richardson      68
Riemannian metric      94
Right action      44
Right invariant      34
Right logarithmic derivative      38
Rodriguez      356
Roots      285
Rudakov      286 288
Sasaki lift      278
Sattinger      48
Saunders      393
Schouten      248 255
Second order di?erential equation      257
Second semiholonomic prolongation of Y      262
Section      50
Sekizava      277 295 357
Semidirect product      48
Semidirect product of an algebra and a module      298
Shmelev      292
Shtern      285

Singular foliation      25
Singular vector      283
Smooth distribution      24
Smooth functor      53
Smooth partition of unity      5
Smooth splitting property      171
solvable      130
Source      117
Special linear group      31
Special orthogonal group      31
Special unitary group      32
Sphere      9
Spray      257
Stable distribution      26
Standard fiber      49 77 172
Standard fiber of the bundle functor F      139
Star bundle functor      346
Stasheff      301
Stefan      48
Stefani      227
Stereographic atlas      9
Sternberg      340
Stiefel manifold      89
Stredder      276 295
Study numbers      318
Submanifold      9
Submanifold chart      9
Submersion      11
Support      5 50 176
Support of a vector field      19
Sussman      48
Symplectic group      31
System of standard fibers of the bundle functor      147
Tangent bundle      8
Tangent space of M at x      7
Tangent vector      6
TARGET      117
Tensor evaluation theorem      224
Tensor field      59 61
Tensorial forms of type      154
Terng      116 128 136 138 166 168 210 282
Thurston      116 168 188 210
Time dependent vector field      29
Topological manifold      4
Torsion form      155
Torsion tensor      155
Torsion-free      155
Total polarization of f      219
Total space      11 50 77
Tougeron      178
Transgression      270
Transition function      49 77
Transitive action      44
Transversal mapping      14
Trautman      392
Tulczyjew      227
Typical fiber      49
Underlying manifold      169
Unitary group      32
Universal vector bundle      97
van Strien      252
Vanstone      5 81 115
Varadarajan      42
Vector bundle      50
Vector bundle atlas      50
Vector bundle chart      49
Vector bundle functor      56
Vector bundle functor on $\mathcal{M}f_m$       141
Vector bundle homomorphism      50
Vector bundle isomorphism      50
Vector field      16
Vector field $\eta^*$ dual to a linear vector field $\eta$       380
Vector field along f      376
Vector sub bundle      52
Vector valued differential form      68
Velocities of order r and dimension m      120
Vertical bundle      55 77 98
Vertical lift      55 278 319
Vertical projection      55 78
Vertical prolongation      255
Vertical space      73
Vertical Weil bundle      336
Virsik      167
Vosmanska      265 295 349
W-extendible      178 205
Weakly local functor      313
Weaver      48
Weight      271 285
Weil      296 301 328
Weil algebra      298
Weyl      265
White      393
Whitney      10 178
Whitney extension theorem      178
Whitney-extendible      178
Width of a Weil algebra      299
Wolf      115
Yamabe      43
Zajtz      210 375
Zero section      50
Zero set      5
Zhelobenko      285
Zippin      43 45 310

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