Weeks | Topics |
1 |
Tangent Bundles and Bundle Maps between theirs
|
2 |
higher order tangent bundles extensions of tangent bundles
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3 |
Higher order Jets on Extended tangent bundles
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4 |
The structure of Extended Jets and its Differeantial Geometry
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5 |
Extended Bundle Map on higher order Extended tangent bundles
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6 |
Differeantial Geometry of Extended Bundle Maps
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7 |
Jets of Sections and jets of maps
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8 |
Midterm Exam
|
9 |
Generalized Lagrange Formulas
|
10 |
Generalized Klien Formulas
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11 |
Homogenous Lagrangians
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12 |
Generalized Hamilton Formulas
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13 |
Generalized Jacobi Ostrogradsky Formulas
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14 |
Applications of Generalized Jacobi Ostrogradsky Formulas
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