List questions from manifolds

Published on 30 Mar 2026 - 11:03

287

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Provide third order Taylor expansion of stable manifold near a saddle point in a dynamical system.

Published on 29 Mar 2026 - 15:43

138

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The definition of normal bundle as a quotient.

Published on 25 Mar 2026 - 3:01

79

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Exercise 3 in section 2.2 on Hirsch's differential topology

Published on 30 Mar 2026 - 10:56

92

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Examples of connected closed oriented even-dimensional manifolds with all central even degree cohomology groups are zero.

Published on 25 Mar 2019 - 12:03

195

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Energy bounds for pseudoholomorphic curves without symplectic structure

Published on 25 Mar 2026 - 5:06

208

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About homogeneous dimensions of a Lie group

Published on 25 Mar 2026 - 10:56

56

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Do I abuse notation ? $\mu(dx)=f(x)dx=f(g(t))g'(t)dt=\mu(dt)$?

Published on 27 Mar 2026 - 0:10

1.2k

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When Does an Atlas Uniquely Define a Manifold?

Published on 30 Mar 2026 - 10:54

350

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A quotient space by group action is manifold $???$

Published on 26 Mar 2026 - 19:17

66

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Find $\lambda_{M_G}(M_{G})$ for $\alpha >0$

Published on 29 Mar 2019 - 10:17

75

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Show that a critical point of one function can't be a critical point of another function

Published on 29 Mar 2019 - 11:54

62

Views

Finding a manifold that covers a compact and respect some properties

Published on 30 Mar 2026 - 10:56

37

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The image $M=\gamma(S)$ is a Mobius Strip, what are the missing points of the parameterization of the interior and what is another parameterization?

Published on 25 Mar 2026 - 6:12

122

Views

Is a manifold-with-boundary with given interior and non-empty boundary essentially unique?

Published on 25 Mar 2026 - 9:26

List Question

Extension of Vector Field in the $\mathcal{C}^r$ topology.

Provide third order Taylor expansion of stable manifold near a saddle point in a dynamical system.

The definition of normal bundle as a quotient.

Exercise 3 in section 2.2 on Hirsch's differential topology

Examples of connected closed oriented even-dimensional manifolds with all central even degree cohomology groups are zero.

Energy bounds for pseudoholomorphic curves without symplectic structure

About homogeneous dimensions of a Lie group

Do I abuse notation ? $\mu(dx)=f(x)dx=f(g(t))g'(t)dt=\mu(dt)$?

When Does an Atlas Uniquely Define a Manifold?

A quotient space by group action is manifold $???$

Find $\lambda_{M_G}(M_{G})$ for $\alpha >0$

Show that a critical point of one function can't be a critical point of another function

Finding a manifold that covers a compact and respect some properties

The image $M=\gamma(S)$ is a Mobius Strip, what are the missing points of the parameterization of the interior and what is another parameterization?

Is a manifold-with-boundary with given interior and non-empty boundary essentially unique?

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