Question

Non-self intersecting closed geodesics in a compact 2-dimensional orientable Riemannian manifold

score 69 · Answer 1 · 2019-12-25 11:21:50

69

Views

Non-self intersecting closed geodesics in a compact 2-dimensional orientable Riemannian manifold

Published on 25 Dec 2019 - 11:21

score 334 · Answer 2 · 2026-03-27 00:10:20

334

Views

How to convert between the hyperboloid model and the Poincare ball when the curvature $\neq-1$?

Published on 27 Mar 2026 - 0:10

score 50 · Answer 3 · 2019-12-25 13:30:02

50

Views

Curvature tensor and symetries

Published on 25 Dec 2019 - 13:30

score 114 · Answer 4 · 2026-03-29 16:02:15

114

Views

Reconciliation between two definitions of Jacobi field

Published on 29 Mar 2026 - 16:02

score 126 · Answer 5 · 2026-03-25 17:45:05

126

Views

Where can I find this Morse Theory result?

Published on 25 Mar 2026 - 17:45

score 170 · Answer 6 · 2019-12-27 14:02:47

170

Views

Dual basis derivatives and affine connection

Published on 27 Dec 2019 - 14:02

score 148 · Answer 7 · 2026-03-31 08:15:21

148

Views

"Crazy" Attempt to Understand Second-Order DEs on Manifolds

Published on 31 Mar 2026 - 8:15

score 87 · Answer 8 · 2019-12-31 14:31:52

87

Views

Arbitrarily short curve that is not homotopic to a point

Published on 31 Dec 2019 - 14:31

score 392 · Answer 9 · 2019-12-31 23:15:33

392

Views

How to show $d(\exp_p(tv),\exp_p(tw))=\vert t \vert\cdot\Vert v-w \Vert+O(t^2)$?

Published on 31 Dec 2019 - 23:15

score 80 · Answer 10 · 2026-03-26 09:26:23

80

Views

Covariant derivative along a curve vs pullback connection

Published on 26 Mar 2026 - 9:26

score 398 · Answer 11 · 2020-01-03 12:54:03

398

Views

Existence of a non-compact Riemannian manifold with infinite injective radius

Published on 03 Jan 2020 - 12:54

score 1.2k · Answer 12 · 2026-03-27 15:05:08

1.2k

Views

Ricci-flat vs Riemann-flat

Published on 27 Mar 2026 - 15:05

score 858 · Answer 13 · 2026-03-27 12:31:44

858

Views

Can there be a geometry where angles can be infinite?

Published on 27 Mar 2026 - 12:31

score 264 · Answer 14 · 2026-03-27 14:53:48

264

Views

Gaussian curvature of a surface which is equal to the $(x,y)$-plane outside a ball of radius $10$

Published on 27 Mar 2026 - 14:53

score 121 · Answer 15 · 2020-01-05 22:14:47

121

Views

Show that the torsion of a connection is an element in $\Omega^2(M,TM)$

Published on 05 Jan 2020 - 22:14

List Question

Non-self intersecting closed geodesics in a compact 2-dimensional orientable Riemannian manifold

How to convert between the hyperboloid model and the Poincare ball when the curvature $\neq-1$?

Curvature tensor and symetries

Reconciliation between two definitions of Jacobi field

Where can I find this Morse Theory result?

Dual basis derivatives and affine connection

"Crazy" Attempt to Understand Second-Order DEs on Manifolds

Arbitrarily short curve that is not homotopic to a point

How to show $d(\exp_p(tv),\exp_p(tw))=\vert t \vert\cdot\Vert v-w \Vert+O(t^2)$?

Covariant derivative along a curve vs pullback connection

Existence of a non-compact Riemannian manifold with infinite injective radius

Ricci-flat vs Riemann-flat

Can there be a geometry where angles can be infinite?

Gaussian curvature of a surface which is equal to the $(x,y)$-plane outside a ball of radius $10$

Show that the torsion of a connection is an element in $\Omega^2(M,TM)$

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