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Results tagged with cotangent-bundles
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user 36688
3
votes
1
answer
217
views
A question on long line
Assume that $M$ is the long line. Is $TM$, the tangent bundle, isomorphic to $T^{*}(M)$, the cotangent bundle?
- 366
6
votes
2
answers
1k
views
symplectic structure of tangent bundle of $\mathbb{S}^{n-1}$
It is well known that $T\mathbb{S}^{n-1}$ is diffeomorphic to $M= f^{-1}(1)$ where
$f:\mathbb{C}^n\rightarrow \mathbb{C}$ is $f(z):=\sum_{i=1}^{n} z_{i}^{2}$.
Two questions:
1) Is $M$ a symple …
- 366
2
votes
0
answers
631
views
A symplectic structure for cotangent bundle
Before that I mention my question explicitly, I start with my motivation:
Look at $\mathbb{D} \times \mathbb{C}=\{(x_{1},x_{2},y_{1},y_{2})\mid x_{1}^{2}+x_{2}^{2}< 1\}$.This can be identified with t …
- 366