Question

How to calculate the tangent vector of $h(t)=\exp_{c(t)} V(t)$?

score 29 · Answer 1 · 2026-04-13 02:57:04

29

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How to calculate the tangent vector of $h(t)=\exp_{c(t)} V(t)$?

Published on 13 Apr 2026 - 2:57

score 69 · Answer 2 · 2026-04-09 17:59:29

69

Views

Definition of the energy functional for harmonic maps between compact Riemann surfaces

Published on 09 Apr 2026 - 17:59

score 205 · Answer 3 · 2026-04-11 13:02:11

205

Views

Is the space $\widetilde{\mathrm{Sp}(4,\mathbb{R})}/\mathrm{SU}(2)$ a symmetric space?

Published on 11 Apr 2026 - 13:02

score 26 · Answer 4 · 2026-03-28 17:25:49

26

Views

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score 52 · Answer 5 · 2026-04-12 18:03:38

52

Views

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Published on 12 Apr 2026 - 18:03

score 123 · Answer 6 · 2026-04-11 18:35:49

123

Views

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Published on 11 Apr 2026 - 18:35

score 41 · Answer 7 · 2026-04-13 15:48:23

41

Views

The derivative with respect to $\theta$ of the image of exponential of circle parametrization on the tangent space is a Jacobi field

Published on 13 Apr 2026 - 15:48

score 55 · Answer 8 · 2026-04-13 04:19:49

55

Views

Characterization of the Levi-Civita connection through length-extremization property of geodesics

Published on 13 Apr 2026 - 4:19

score 49 · Answer 9 · 2026-04-09 13:45:55

49

Views

$(M, g)$ complete Riemannian manifold implies $(M, \tilde{g})$ complete if $\|X\|_{\tilde{g}} \ge \|X\|_g$ for all $X$

Published on 09 Apr 2026 - 13:45

score 57 · Answer 10 · 2026-04-11 06:56:41

57

Views

Volume Forms and Orthonormality

Published on 11 Apr 2026 - 6:56

score 145 · Answer 11 · 2026-04-12 13:11:36

145

Views

Proof of Hessian Comparison theorem ( Second question, John Lee, Introduction to Riemannian manifold )

Published on 12 Apr 2026 - 13:11

score 126 · Answer 12 · 2026-04-11 18:41:36

126

Views

When is a Riemannian metric the pullback of the Euclidean metric?

Published on 11 Apr 2026 - 18:41

score 88 · Answer 13 · 2026-03-26 02:58:15

88

Views

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Published on 26 Mar 2026 - 2:58

score 132 · Answer 14 · 2026-04-08 16:27:46

132

Views

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Published on 08 Apr 2026 - 16:27

score 102 · Answer 15 · 2026-04-12 20:24:14

102

Views

Riemannian metric on the sphere $S^2$ using a parametrization

Published on 12 Apr 2026 - 20:24

List Question

How to calculate the tangent vector of $h(t)=\exp_{c(t)} V(t)$?

Definition of the energy functional for harmonic maps between compact Riemann surfaces

Is the space $\widetilde{\mathrm{Sp}(4,\mathbb{R})}/\mathrm{SU}(2)$ a symmetric space?

Semi-Riemannian Metric and Curvature Tensor analytic at a point?

When are geodesic triangles well-defined?

Decomposition of 1-forms in simply connected open subset of Euclidean space

The derivative with respect to $\theta$ of the image of exponential of circle parametrization on the tangent space is a Jacobi field

Characterization of the Levi-Civita connection through length-extremization property of geodesics

$(M, g)$ complete Riemannian manifold implies $(M, \tilde{g})$ complete if $\|X\|_{\tilde{g}} \ge \|X\|_g$ for all $X$

Volume Forms and Orthonormality

Proof of Hessian Comparison theorem ( Second question, John Lee, Introduction to Riemannian manifold )

When is a Riemannian metric the pullback of the Euclidean metric?

How to show that the gradient is normal everywhere on a regular level set?

Explicit calculation of Euler class for $TS^2$

Riemannian metric on the sphere $S^2$ using a parametrization

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