Weeks | Topics |
1 |
Simplectic vector Spaces
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2 |
Simplectic Manifolds
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3 |
Simplectic structure on Cotangent Bundle
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4 |
Almost Tangent Simplectic structure on Cotangent Bundle
|
5 |
Canonical Almost Tangent structure on tangent Bundle
|
6 |
Integriability
|
7 |
Almost Tangent Connections
|
8 |
Complete and Vertical lifts of the Tensor fields to Tangent Bundle
|
9 |
Complete lifts of the Linear Connections to Tangent Bundle
|
10 |
Midterm Exam
|
11 |
Vertical lifts of the Linear Connections to Tangent Bundle
|
12 |
Horizontal lifts of the Tensor fields to Tangent Bundle
|
13 |
Horizontal lifts of the Connections to Tangent Bundle
|
14 |
Sasakina Metrics on the Tangent Bundle
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