List questions from riemannian-geometry

Published on 27 Apr 2026 - 23:39

199

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Geodesic axis and displacement function

Published on 11 Apr 2026 - 23:30

953

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Tangent spaces, how are vectors parallel transported?

Published on 11 Apr 2026 - 16:43

329

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How to show that $\int_M(\Delta f-|\nabla f|^2)(2\Delta f-|\nabla f|^2)e^{-f} dV=\int_M-\nabla_if\nabla_i(2\Delta f-|\nabla f|^2)e^{-f}dV$

Published on 15 Apr 2026 - 19:37

314

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Isometry and integral over manifold

Published on 10 Apr 2026 - 21:49

1.4k

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Nonexistence of conjugate points $\Rightarrow$ a geodesic is minimizing

Published on 28 Mar 2026 - 5:26

75

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Where is $-2R_{ij}\nabla_jf$ from?

Published on 14 Apr 2026 - 5:45

97

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First eigenvalue in Ricci flow.

Published on 10 Apr 2026 - 23:20

86

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Is the cut locus geodesic?

Published on 11 Apr 2026 - 1:23

87

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Relation of breather and gradient soliton.

Published on 17 Apr 2026 - 5:31

7.5k

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Beginner's book for Riemannian geometry

Published on 14 Apr 2026 - 15:21

134

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Show that $\int_M\Delta f HdV=-\int_M\nabla f\cdot\nabla H dV $?

Published on 13 Apr 2026 - 23:46

76

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Huisken's Distance Comparison principle for Ricci flow

Published on 08 Apr 2026 - 22:38

582

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How to show that $\frac{1}{V}\int_MR \, dV\ge\mathcal{F(g_{ij},f)}$?

Published on 16 Apr 2026 - 13:53

65

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Structure of $C^k$ ($k<\infty$)Riemannian metrics on a manifold

Published on 15 Apr 2026 - 7:44

List Question

Affine Kac-Moody Group Isometry of a Manifold

Geodesic axis and displacement function

Tangent spaces, how are vectors parallel transported?

How to show that $\int_M(\Delta f-|\nabla f|^2)(2\Delta f-|\nabla f|^2)e^{-f} dV=\int_M-\nabla_if\nabla_i(2\Delta f-|\nabla f|^2)e^{-f}dV$

Isometry and integral over manifold

Nonexistence of conjugate points $\Rightarrow$ a geodesic is minimizing

Where is $-2R_{ij}\nabla_jf$ from?

First eigenvalue in Ricci flow.

Is the cut locus geodesic?

Relation of breather and gradient soliton.

Beginner's book for Riemannian geometry

Show that $\int_M\Delta f HdV=-\int_M\nabla f\cdot\nabla H dV $?

Huisken's Distance Comparison principle for Ricci flow

How to show that $\frac{1}{V}\int_MR \, dV\ge\mathcal{F(g_{ij},f)}$?

Structure of $C^k$ ($k<\infty$)Riemannian metrics on a manifold

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