Mathematics in Science and Engineering - Differential Geometry and the Calculus of Variations
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9 Reduction of Dimension when a Lie Algebra of Vector Fields Leaves a Vector-Field Invariant

Mathematics in Science and Engineering - Differential Geometry and the Calculus of Variations ◽

10.1016/s0076-5392(08)62595-3 ◽

1968 ◽

pp. 73-80

Keyword(s):

Vector Field ◽

Lie Algebra ◽

Vector Fields ◽

Reduction Of Dimension

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33 Mechanics on Riemannian Manifolds

Mathematics in Science and Engineering - Differential Geometry and the Calculus of Variations ◽

10.1016/s0076-5392(08)62621-1 ◽

1968 ◽

pp. 427-430

Keyword(s):

Riemannian Manifolds

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13 Hamilton-Jacobi Theory

Mathematics in Science and Engineering - Differential Geometry and the Calculus of Variations ◽

10.1016/s0076-5392(08)62601-6 ◽

1968 ◽

pp. 122-141

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22 The Second Variation Formula and Jacobi Vector Fields

Mathematics in Science and Engineering - Differential Geometry and the Calculus of Variations ◽

10.1016/s0076-5392(08)62610-7 ◽

1968 ◽

pp. 291-301

Keyword(s):

Vector Fields ◽

Second Variation ◽

Variation Formula ◽

Jacobi Vector ◽

The Second Variation

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7 Lie Derivation and Exterior Derivative; Integration on Manifolds

Mathematics in Science and Engineering - Differential Geometry and the Calculus of Variations ◽

10.1016/s0076-5392(08)62593-x ◽

1968 ◽

pp. 46-62

Keyword(s):

Exterior Derivative ◽

Lie Derivation

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Copyright page

Mathematics in Science and Engineering - Differential Geometry and the Calculus of Variations ◽

10.1016/s0076-5392(08)62599-0 ◽

1968 ◽

pp. v

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24 Submanifolds of Riemannian Manifolds

Mathematics in Science and Engineering - Differential Geometry and the Calculus of Variations ◽

10.1016/s0076-5392(08)62612-0 ◽

1968 ◽

pp. 318-341

Keyword(s):

Riemannian Manifolds

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31 The Morse Index Theorem

Mathematics in Science and Engineering - Differential Geometry and the Calculus of Variations ◽

10.1016/s0076-5392(08)62619-3 ◽

1968 ◽

pp. 401-419

Keyword(s):

Morse Index ◽

Index Theorem

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5 Mappings, Submanifolds, and the Implicit Function Theorem

Mathematics in Science and Engineering - Differential Geometry and the Calculus of Variations ◽

10.1016/s0076-5392(08)62591-6 ◽

1968 ◽

pp. 28-33

Keyword(s):

Implicit Function Theorem ◽

Implicit Function

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28 Affine Groups of Automorphisms. Induced Connections on Submanifolds. Projective Changes of Connection

Mathematics in Science and Engineering - Differential Geometry and the Calculus of Variations ◽

10.1016/s0076-5392(08)62616-8 ◽

1968 ◽

pp. 378-385

Keyword(s):

Affine Groups ◽

Groups Of Automorphisms

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