Krupkova O. — The Geometry of Ordinary Variational Equations :: Электронная библиотека попечительского совета мехмата МГУ

Главная Ex Libris Книги Журналы Статьи Серии Каталог Wanted Загрузка ХудЛит Справка Поиск по индексам Поиск Форум

Авторизация

Поиск по указателям

Krupkova O. — The Geometry of Ordinary Variational Equations

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: The Geometry of Ordinary Variational Equations

Автор: Krupkova O.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 264

Добавлена в каталог: 14.05.2008

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

Предметный указатель

Ostrogradskii Hamiltonian      71 85 88
Ostrogradskii momentum      71 85 88
Path of a connection      38
Phase space      63 189
Poincare group      170
Poincare lemma      36
Poincare — Cartan form      47
Point symmetry      151
Poisson bracket      27 213
Poisson theorem      27
potential energy      12 12 122 165 227
Potential force      13 13 14 54 121 227
Precosymplectic Lagrangean system      210
Presymplectic form      28
Presymplectic Hamilton equations      212
Presymplectic Lagrangean system      210
Presymplectic manifold      28
Presymplectic structure      28
Primary constraint set      94 131
Primary constraints      134 218
Primary dynamical constraints      134
Primary semispray constraints      134
Primary semispray-constraint set      94
Principle of least time      11
Projectable differential form      33
Projectable vector field      31
Projection      29
Projection of a differential form      33
Prolonged extremal      129
Proper dynamics      87 129 132 133 217
Quantization      63 74 82 88 101 125
quantum mechanics      63
Quasi-configuration space      187 189
Quasi-holonomic Hamilton extremal      194 199
Rank of a distribution      21
Reducibility condition      73
Regular dynamical form      117
Regular even-order Lagrangean system      100 104 105 105
Regular first-order Lagrangean system      101 102 220
Regular first-order Lagrangian      100
Regular Hamiltoninan system      100
Regular Lagrangean system      95 97 98 100 129 158
Regular Lagrangian      97 98 223
Regular mechanical system      117 220
Regular minimal-order Lagrangian      102
Regular odd-order Lagrangean system      103 103 105 183 195
Regular second-order Lagrangean system      102
Regular second-order Lagrangian      101
Regular zero-order Lagrangean system      102 105 109 127
Regularity      81 81 97 129 130
Regularity condition      17 81 99 103 213
Regularity condition for Lagrangians      100 102 213
Riemannian structure      224
s-equivalent Lagrangians      123
s-equivalent mappings      31
s-equivalent sections      29
s-jet      29
s-jet prolongation of a fibered manifold      29
s-jet prolongation of a projectable vector field      32
s-jet prolongation of a section      30
Second variation      2
Second-order differential equation problem      134
Secondary constraints      134
Secondary dynamical constraints      133 134
Secondary semispray constraints      133 134
Section of a fibered manifold      29
Semi-finslerian manifold      221
Semi-finslerian structure      223
Semiregular Lagrangean system      130 131 141 145 172 181 183 210
Semiregular Lagrangian      131

Semiregularity      129 141
Semiregularity along a submanifold      141
Semispray      35 37 99 143
Semispray along a submanifold      95
Semispray connection      37 39 98 193
Semispray connection related with a dynamical form      117
Semispray distribution      39
Set of admissible initial conditions for Euler-Lagrange equations      134
Set of admissible initial conditions for Hamilton equations      133
Singular Lagrangean system      129 144
Smooth distribution      21
SODE problem      134
Soldering form      38 226
Solution-equivalent Lagrangians      123
Source of an s-jet      31
Souriau — Lagrange form      60
Space rotation      159
Space translation      159
Strongly semiregular Lagrangean system      132 143
Structure of extremals      90 190
Structure of second-order Euler — Lagrange expressions      118
Support of a deformation      50
Symmetry of a differential form      26
Symmetry of a distribution      24
Symplectic form      28 213
Symplectic Hamilton equations      213
Symplectic Lagrangean system      99 212
Symplectic manifold      28
Symplectic reduction      150
Symplectic structure      28
Tangent bundle      31
Tangent manifold      31
Target of an s-jet      31
Theorem on canonical form of a Lepagean two-form      66
Theorem on order-reduction      68
Theorem on primary dynamical constraints      94
Theorem on primary semispray constraints      94
Time translation      159 209
Time-dependent finslerian structure      224
Time-dependent riemannian structure      224
Time-independent Hamiltonian      71 210
Time-independent Lagrangean system      71 210
Total energy      12 71 210
Total space a fibered manifold      29
Trivial Lagrangian      10 60
Vainberg — Tonti Lagrangian      5 56 118 210
van Hove theorem      191
Variation of a section      50
Variational bicomplex      64
Variational connection      11 123 227
Variational dynamical form      53
Variational function      42
Variational integral      1
Variational integrating factor      9 123
Variational metric      220
Variational multiplier      9 123
Variational semispray connection      123 227
Variational semispray distribution      123
Variational sequence      64
Variationality conditions      5 8 13 14 57 61 64 118 161
Vertical distribution      32 40
Vertical vector field      31
Wave front      186
Weak regularity      129
Weakly horizontal distribution      40 91
Weakly regular autonomous Lagrangean system      217
Weakly regular Lagrangean system      130 132 143 145
Weakly regular Lagrangian      132
Weakly variational dynamical form      126
Weber's electrodynamic force      15
Zero-order Lagrangean system      73 75 83 88 90 100 101 102 109 127

1 2

О проекте