Question

Conjugate points and expansion of the geodesic congruence

score 105 · Answer 1 · 2026-03-27 06:01:38

105

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Conjugate points and expansion of the geodesic congruence

Published on 27 Mar 2026 - 6:01

score 72 · Answer 2 · 2022-05-16 19:21:01

72

Views

Geodesics on surfaces of centers of a surface

Published on 16 May 2022 - 19:21

score 38 · Answer 3 · 2026-03-26 17:46:03

38

Views

Continuity of the curve shortening process

Published on 26 Mar 2026 - 17:46

score 188 · Answer 4 · 2022-05-19 20:16:57

188

Views

Is the map $T_X |_S (p) := \exp{X(p)}$ a diffeomorphism onto its image?

Published on 19 May 2022 - 20:16

score 205 · Answer 5 · 2022-05-30 05:49:11

205

Views

Is the convexity radius continuous?

Published on 30 May 2022 - 5:49

score 42 · Answer 6 · 2022-05-30 20:43:31

42

Views

Solving geodesic equation numerically. How to deal with the arc length constraint?

Published on 30 May 2022 - 20:43

score 69 · Answer 7 · 2022-06-07 18:34:26

69

Views

Geodesic lines in Poincare disc model

Published on 07 Jun 2022 - 18:34

score 56 · Answer 8 · 2022-06-19 11:12:25

56

Views

How to show that geodesic in polar coordinates satisfies the great circle equation in cartesian

Published on 19 Jun 2022 - 11:12

score 97 · Answer 9 · 2022-06-20 07:38:12

97

Views

Help with the proof that geodesics are locally minimizing

Published on 20 Jun 2022 - 7:38

score 33 · Answer 10 · 2022-06-23 08:21:27

33

Views

Connection between the Euclidean metric $\overline{g}=\sum_{i}dx^idx^i$ and $\left<v, w\right>_\overline{g}=\sum_{i}v^iw^i, v, w\in T_x\mathbb{R}^n$

Published on 23 Jun 2022 - 8:21

score 97 · Answer 11 · 2026-03-29 11:18:35

97

Views

Why are the red parts of this expression present $\int_a^b \sqrt{g_{cd}\frac{dx^c}{\color{red}{d\lambda}}\frac{dx^d}{\color{red}{d\lambda}}}d\lambda$?

Published on 29 Mar 2026 - 11:18

score 143 · Answer 12 · 2022-07-02 13:50:05

143

Views

Geodesic in local coordinates

Published on 02 Jul 2022 - 13:50

score 80 · Answer 13 · 2022-07-04 13:45:44

80

Views

Show that two geodesics $\gamma_1, \gamma_2$ can't meet in point $q\in S$ when $K\leq 0$

Published on 04 Jul 2022 - 13:45

score 317 · Answer 14 · 2022-07-05 00:41:50

Show that two simple and closed geodesics $\gamma_1,\gamma_2$ intersects each oter in a compact, connected surface S with gaussian curvature $K>0$

score 18 · Answer 15 · 2022-07-06 01:18:19

18

Views

What is great circle distance between the (longitude, latitude) coordinates for 2-Wasserstein distance?

Published on 06 Jul 2022 - 1:18

List Question

Conjugate points and expansion of the geodesic congruence

Geodesics on surfaces of centers of a surface

Continuity of the curve shortening process

Is the map $T_X |_S (p) := \exp{X(p)}$ a diffeomorphism onto its image?

Is the convexity radius continuous?

Solving geodesic equation numerically. How to deal with the arc length constraint?

Geodesic lines in Poincare disc model

How to show that geodesic in polar coordinates satisfies the great circle equation in cartesian

Help with the proof that geodesics are locally minimizing

Connection between the Euclidean metric $\overline{g}=\sum_{i}dx^idx^i$ and $\left<v, w\right>_\overline{g}=\sum_{i}v^iw^i, v, w\in T_x\mathbb{R}^n$

Why are the red parts of this expression present $\int_a^b \sqrt{g_{cd}\frac{dx^c}{\color{red}{d\lambda}}\frac{dx^d}{\color{red}{d\lambda}}}d\lambda$?

Geodesic in local coordinates

Show that two geodesics $\gamma_1, \gamma_2$ can't meet in point $q\in S$ when $K\leq 0$

Show that two simple and closed geodesics $\gamma_1,\gamma_2$ intersects each oter in a compact, connected surface S with gaussian curvature $K>0$

What is great circle distance between the (longitude, latitude) coordinates for 2-Wasserstein distance?

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