Question

In the distance, do geodesics still depend continuously on the initial velocities?

score 65 · Answer 1 · 2026-04-15 12:17:02

65

Views

In the distance, do geodesics still depend continuously on the initial velocities?

Published on 15 Apr 2026 - 12:17

score 41 · Answer 2 · 2026-05-05 01:17:43

41

Views

Why is $Y_\delta = \{(x,v): x \in Y, |v| < \delta\}$ open in $TM$?

Published on 05 May 2026 - 1:17

score 108 · Answer 3 · 2026-04-17 04:36:46

108

Views

Existence of non-trivial smooth quasi-convex function on complete Riemannian manifold with finite-volume.

Published on 17 Apr 2026 - 4:36

score 1.7k · Answer 4 · 2026-03-27 06:08:55

1.7k

Views

Lie derivative characterisation of the Levi-Civita connection

Published on 27 Mar 2026 - 6:08

score 674 · Answer 5 · 2026-04-14 19:52:08

674

Views

Uniform Limit of Riemannian Isometries is also a Riemannian Isometry

Published on 14 Apr 2026 - 19:52

score 361 · Answer 6 · 2026-04-12 08:25:42

361

Views

differential geometry and symmetric spaces

Published on 12 Apr 2026 - 8:25

score 732 · Answer 7 · 2026-05-05 01:17:14

732

Views

Normal neighborhood and orthonormal frame

Published on 05 May 2026 - 1:17

score 460 · Answer 8 · 2026-04-15 12:59:40

460

Views

Exercise 11, Chapter 3 of Do Carmo's "Riemannian Geometry"

Published on 15 Apr 2026 - 12:59

score 884 · Answer 9 · 2026-04-13 22:26:13

884

Views

Is the first conjugate point always a cut locus?

Published on 13 Apr 2026 - 22:26

score 430 · Answer 10 · 2026-04-13 07:50:41

430

Views

A map which commutes with Hodge dual is conformal?

Published on 13 Apr 2026 - 7:50

score 51 · Answer 11 · 2026-04-14 03:39:01

51

Views

Equation of geodesic in $\mathbb{R}\times\mathbb{S}^1$ connecting two points $(x,r)$ and $(y,s)$.

Published on 14 Apr 2026 - 3:39

score 181 · Answer 12 · 2026-04-10 23:19:26

181

Views

Solvability of Poisson's equation for $p$-forms directly from Hodge decomposition

Published on 10 Apr 2026 - 23:19

score 38 · Answer 13 · 2026-04-11 08:34:32

38

Views

About the ergodic theorem of Brikhoff in the context of acompact Riemannian manifold.

Published on 11 Apr 2026 - 8:34

score 728 · Answer 14 · 2026-04-16 19:44:35

728

Views

Bi-Invariant Metric on a Lie Groups Implies the two kinds of Exponential Maps are Same

Published on 16 Apr 2026 - 19:44

score 1k · Answer 15 · 2026-04-13 12:31:29

1k

Views

Could a Riemannian metric be uniquely determined by its exponential map?

Published on 13 Apr 2026 - 12:31

List Question

In the distance, do geodesics still depend continuously on the initial velocities?

Why is $Y_\delta = \{(x,v): x \in Y, |v| < \delta\}$ open in $TM$?

Existence of non-trivial smooth quasi-convex function on complete Riemannian manifold with finite-volume.

Lie derivative characterisation of the Levi-Civita connection

Uniform Limit of Riemannian Isometries is also a Riemannian Isometry

differential geometry and symmetric spaces

Normal neighborhood and orthonormal frame

Exercise 11, Chapter 3 of Do Carmo's "Riemannian Geometry"

Is the first conjugate point always a cut locus?

A map which commutes with Hodge dual is conformal?

Equation of geodesic in $\mathbb{R}\times\mathbb{S}^1$ connecting two points $(x,r)$ and $(y,s)$.

Solvability of Poisson's equation for $p$-forms directly from Hodge decomposition

About the ergodic theorem of Brikhoff in the context of acompact Riemannian manifold.

Bi-Invariant Metric on a Lie Groups Implies the two kinds of Exponential Maps are Same

Could a Riemannian metric be uniquely determined by its exponential map?

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