List questions from riemannian-geometry

Published on 25 Mar 2026 - 6:27

37

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$n$-th Neumann eigenspace of Laplacian operator $\Delta$ of $\mathbb{S}^{d-1}_+$

Published on 25 Jul 2018 - 19:45

71

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On uniqueness of geodesic between two points on not necessarily complete manifold with nonpositive curvature

Published on 26 Jul 2018 - 19:28

363

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Covariant derivative of inner product

Published on 26 Jul 2018 - 21:50

101

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Number of homotopically inequivalent loops on a surface

Published on 25 Mar 2026 - 3:20

30

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Number of homotopically inequivalent loops that pairwise intersect at most once

Published on 25 Mar 2026 - 3:24

54

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Does "isoparametric" mean what it sounds like?

Published on 29 Jul 2018 - 19:21

88

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Does $Graff(n,\mathbb{R}^{\infty})$ generate all $n$-dimensional closed Riemannian manifolds $M$?

Published on 25 Mar 2026 - 3:01

190

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Minimizing properties of geodesics problem in do Carmo's book

Published on 25 Mar 2026 - 4:57

320

Views

Are there interesting example of pseudo-Riemannian manifold other than spacetime manifold?

Published on 25 Mar 2026 - 19:49

261

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ODE problem reading do Carmo's book of Riemannian geometry

Published on 31 Jul 2018 - 18:48

263

Views

Exponential map on Heisenberg group is a diffeomorphism.

Published on 21 Mar 2026 - 18:17

95

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Why is a connection on the bundle $SO(M)$ metric compatible?

Published on 24 Mar 2026 - 23:44

250

Views

How can one generalize the Gauss map to higher dimensions? More specifically, bi-dimensional manifolds in $\mathbb{R}^4$

Published on 26 Mar 2026 - 8:03

146

Views

Morse–Palais Lemma and local approximation

Published on 25 Mar 2026 - 1:21

List Question

Unique prime factorisation on Riemannian manifolds?

$n$-th Neumann eigenspace of Laplacian operator $\Delta$ of $\mathbb{S}^{d-1}_+$

On uniqueness of geodesic between two points on not necessarily complete manifold with nonpositive curvature

Covariant derivative of inner product

Number of homotopically inequivalent loops on a surface

Number of homotopically inequivalent loops that pairwise intersect at most once

Does "isoparametric" mean what it sounds like?

Does $Graff(n,\mathbb{R}^{\infty})$ generate all $n$-dimensional closed Riemannian manifolds $M$?

Minimizing properties of geodesics problem in do Carmo's book

Are there interesting example of pseudo-Riemannian manifold other than spacetime manifold?

ODE problem reading do Carmo's book of Riemannian geometry

Exponential map on Heisenberg group is a diffeomorphism.

Why is a connection on the bundle $SO(M)$ metric compatible?

How can one generalize the Gauss map to higher dimensions? More specifically, bi-dimensional manifolds in $\mathbb{R}^4$

Morse–Palais Lemma and local approximation

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