Question

How to prove the longer geodesic joining two points on a 2-sphere is a saddle point of the length function?

score 47 · Answer 1 · 2023-03-30 05:39:39

47

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How to prove the longer geodesic joining two points on a 2-sphere is a saddle point of the length function?

Published on 30 Mar 2023 - 5:39

score 37 · Answer 2 · 2023-04-02 13:20:08

37

Views

Riemannian covering completeness

Published on 02 Apr 2023 - 13:20

score 150 · Answer 3 · 2023-04-03 17:39:14

150

Views

Rotation along geodesic in n-dimensional sphere

Published on 03 Apr 2023 - 17:39

score 797 · Answer 4 · 2023-04-08 17:50:24

797

Views

Where can geodesics on $G:=\operatorname{SL}(n,\mathbb{R})$ intersect?

Published on 08 Apr 2023 - 17:50

score 851 · Answer 5 · 2023-04-12 02:19:12

851

Views

"Geodesic Distance" in Riemannian geometry

Published on 12 Apr 2023 - 2:19

score 28 · Answer 6 · 2023-04-15 09:41:23

28

Views

Does there exist $M>0$ such that every $x,y\in U$ can be connected by a path $l$ with $|l|< M|x-y|$ in an open, bounded and path-connect set $U$?

Published on 15 Apr 2023 - 9:41

score 53 · Answer 7 · 2023-04-15 12:26:17

53

Views

Existence of $M>0$ s.t. every $x,y\in K\subset U$ can be connected by a path $l$ s.t. $|l|<M|x-y|$ for compact & connect $K$ and bounded open $U$?

Published on 15 Apr 2023 - 12:26

score 43 · Answer 8 · 2023-04-19 19:00:26

43

Views

Why do small enough balls have this geodesic property in Riemannian Geometry?

Published on 19 Apr 2023 - 19:00

score 43 · Answer 9 · 2023-04-23 09:27:44

43

Views

Metric in geodesic form

Published on 23 Apr 2023 - 9:27

score 90 · Answer 10 · 2023-04-27 05:16:16

90

Views

Derivation of Geodesic Equations for Surfaces Embedded in R3

Published on 27 Apr 2023 - 5:16

score 61 · Answer 11 · 2023-04-27 07:13:44

61

Views

Is a curve in a 1-dimensional manifold always a geodesic for some parameterization?

Published on 27 Apr 2023 - 7:13

score 27 · Answer 12 · 2023-05-05 13:10:55

27

Views

How to find center of an arc given a geographical start point, end point and arc angle?

Published on 05 May 2023 - 13:10

score 25 · Answer 13 · 2026-03-25 06:12:19

25

Views

How to calculate a co-ordinate transformation between two metrics at a moving boundary?

Published on 25 Mar 2026 - 6:12

score 84 · Answer 14 · 2023-05-09 11:48:51

84

Views

A question about an article by Birman, Series

Published on 09 May 2023 - 11:48

score 74 · Answer 15 · 2023-05-12 02:08:32

74

Views

Uniformly converging geodesic sequence yields a geodesic

Published on 12 May 2023 - 2:08

List Question

How to prove the longer geodesic joining two points on a 2-sphere is a saddle point of the length function?

Riemannian covering completeness

Rotation along geodesic in n-dimensional sphere

Where can geodesics on $G:=\operatorname{SL}(n,\mathbb{R})$ intersect?

"Geodesic Distance" in Riemannian geometry

Does there exist $M>0$ such that every $x,y\in U$ can be connected by a path $l$ with $|l|< M|x-y|$ in an open, bounded and path-connect set $U$?

Existence of $M>0$ s.t. every $x,y\in K\subset U$ can be connected by a path $l$ s.t. $|l|<M|x-y|$ for compact & connect $K$ and bounded open $U$?

Why do small enough balls have this geodesic property in Riemannian Geometry?

Metric in geodesic form

Derivation of Geodesic Equations for Surfaces Embedded in R3

Is a curve in a 1-dimensional manifold always a geodesic for some parameterization?

How to find center of an arc given a geographical start point, end point and arc angle?

How to calculate a co-ordinate transformation between two metrics at a moving boundary?

A question about an article by Birman, Series

Uniformly converging geodesic sequence yields a geodesic

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