Question

How bad can the intersection of two totally geodesic submanifolds be?

score 411 · Answer 1 · 2026-04-16 16:41:07

411

Views

How bad can the intersection of two totally geodesic submanifolds be?

Published on 16 Apr 2026 - 16:41

score 471 · Answer 2 · 2026-04-09 03:06:06

471

Views

Existence of Global Defining Function for Hypersurface

Published on 09 Apr 2026 - 3:06

score 151 · Answer 3 · 2026-04-15 10:01:12

151

Views

Show that a map is an embedding

Published on 15 Apr 2026 - 10:01

score 270 · Answer 4 · 2026-04-16 11:24:53

270

Views

Why the 'gradient of the diffeomorphism at a point in the surface' perpendicular to the surface at that point?

Published on 16 Apr 2026 - 11:24

score 324 · Answer 5 · 2026-04-12 22:56:50

324

Views

Why $\mathbb R$ with the chard $t\longmapsto t^3$ is not a submanifold of $\mathbb R^2$ ?

Published on 12 Apr 2026 - 22:56

score 1.3k · Answer 6 · 2026-04-15 13:57:11

1.3k

Views

Graph is an Embedded Submanifold

Published on 15 Apr 2026 - 13:57

score 94 · Answer 7 · 2026-04-13 03:42:14

94

Views

Why is the submanifold a Nullset?

Published on 13 Apr 2026 - 3:42

score 454 · Answer 8 · 2026-04-14 11:30:52

454

Views

Show that $SO(3)$ in an embedded submanifold of $\mathbb{R}^{3 \times 3}$

Published on 14 Apr 2026 - 11:30

score 347 · Answer 9 · 2026-04-12 16:51:05

347

Views

$U(n)$ and $SU(n)$ are connected smooth submanifold of $M_{n,n}(\mathbb{C})$

Published on 12 Apr 2026 - 16:51

score 45 · Answer 10 · 2026-04-14 17:08:50

45

Views

Showing that $3z+3xy^2-x^3=0$ defines a submanifold of $ \mathbb{R}^3$

Published on 14 Apr 2026 - 17:08

score 61 · Answer 11 · 2026-04-14 14:26:01

61

Views

If I shift a curve in the normal direction, are its tangent vectors also shifted by parallel transport?

Published on 14 Apr 2026 - 14:26

score 121 · Answer 12 · 2026-04-23 11:03:39

121

Views

If $S\subseteq M$ is a submanifold, is there a canonical way to identify $T_{p}^{}S$ as a subspace of $T_{p}^{}M$?

Published on 23 Apr 2026 - 11:03

score 214 · Answer 13 · 2026-04-13 21:21:34

214

Views

Anti-de Sitter space: Is the universal cover of $\text{AdS}_n$ a submanifold of $\text{AdS}_{n+1}$?

Published on 13 Apr 2026 - 21:21

score 25 · Answer 14 · 2026-04-10 04:03:34

25

Views

coordinate systems produce submanifolds

Published on 10 Apr 2026 - 4:03

score 516 · Answer 15 · 2026-04-16 08:24:42

516

Views

If $f : M \to N$ is $C^k$, then $\Gamma(f)$ is a closed embedded submanifold of $M \times N$

Published on 16 Apr 2026 - 8:24

List Question

How bad can the intersection of two totally geodesic submanifolds be?

Existence of Global Defining Function for Hypersurface

Show that a map is an embedding

Why the 'gradient of the diffeomorphism at a point in the surface' perpendicular to the surface at that point?

Why $\mathbb R$ with the chard $t\longmapsto t^3$ is not a submanifold of $\mathbb R^2$ ?

Graph is an Embedded Submanifold

Why is the submanifold a Nullset?

Show that $SO(3)$ in an embedded submanifold of $\mathbb{R}^{3 \times 3}$

$U(n)$ and $SU(n)$ are connected smooth submanifold of $M_{n,n}(\mathbb{C})$

Showing that $3z+3xy^2-x^3=0$ defines a submanifold of $ \mathbb{R}^3$

If I shift a curve in the normal direction, are its tangent vectors also shifted by parallel transport?

If $S\subseteq M$ is a submanifold, is there a canonical way to identify $T_{p}^{}S$ as a subspace of $T_{p}^{}M$?

Anti-de Sitter space: Is the universal cover of $\text{AdS}_n$ a submanifold of $\text{AdS}_{n+1}$?

coordinate systems produce submanifolds

If $f : M \to N$ is $C^k$, then $\Gamma(f)$ is a closed embedded submanifold of $M \times N$

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