List questions from morse-theory

Published on 06 Oct 2017 - 22:51

1.5k

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Hessian of a function at the critical points

Published on 27 Oct 2017 - 17:08

538

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Is the tangent space to a critical submanifold a subspace of the kernel of the Hessian?

Published on 27 Oct 2017 - 17:54

228

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Diffeomorphism from level sets onto spheres

Published on 06 Nov 2017 - 22:03

3.3k

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What is the definition of Index of a point or vector field?

Published on 26 Mar 2026 - 5:41

416

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How to calculate second -order derivative of height function?

Published on 13 Nov 2017 - 13:06

68

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Energy functional is locally constant on moduli space

Published on 14 Nov 2017 - 17:53

19

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How many height function on a given compact oriantable manifold there exist up to $SO(n)$ rotations?

Published on 02 Dec 2017 - 14:36

434

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Extensions of vector fields and the Hessian

Published on 05 Dec 2017 - 11:43

106

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Morse theory problem II

Published on 07 Dec 2017 - 10:57

500

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Morse theory: the loop space of $S^n$

Published on 05 Jan 2018 - 1:27

244

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Given a smooth function $f:M\to [a,b]$, $f^{-1}(a)$ and $f^{-1}(b)$ are (immersed) submanifolds

Published on 08 Jan 2018 - 22:00

769

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Question about the proof of the index theorem appearing in Milnor's Morse Theory

Published on 31 Oct 2011 - 7:18

313

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Is there a function like this?

Published on 29 Sep 2012 - 11:38

378

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The connection of Morse function

Published on 03 Nov 2012 - 12:06

List Question

Reference request for Morse theory with complex valued functions

Hessian of a function at the critical points

Is the tangent space to a critical submanifold a subspace of the kernel of the Hessian?

Diffeomorphism from level sets onto spheres

What is the definition of Index of a point or vector field?

How to calculate second -order derivative of height function?

Energy functional is locally constant on moduli space

How many height function on a given compact oriantable manifold there exist up to $SO(n)$ rotations?

Extensions of vector fields and the Hessian

Morse theory problem II

Morse theory: the loop space of $S^n$

Given a smooth function $f:M\to [a,b]$, $f^{-1}(a)$ and $f^{-1}(b)$ are (immersed) submanifolds

Question about the proof of the index theorem appearing in Milnor's Morse Theory

Is there a function like this?

The connection of Morse function

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