List questions from submanifold

250

Views

How to show $UM$ is an embedded $(2m-1)$-dimensional submanifold of $T\Bbb R^n\approx \Bbb R^n\times \Bbb R^n$?

Published on 13 Apr 2026 - 20:47

311

Views

Submanifold Tangent to Given Vector Fields

Published on 14 Apr 2026 - 19:04

632

Views

Is compliment of a zero section of a vector bundle a submanifold?

Published on 11 May 2026 - 0:31

104

Views

Synge inequality

Published on 30 Apr 2026 - 5:50

936

Views

Reference request: clean intersection between submanifolds

Published on 10 May 2026 - 16:50

2k

Views

Example of a submanifold $S\subseteq M$ that is an immersed submanifold is more than one way?

Published on 14 Apr 2026 - 4:28

138

Views

Prove $g(t,u)$ is a regular surface when it may have singular points.

Published on 10 May 2026 - 9:05

291

Views

Show that submanifolds are in fact manifolds.

Published on 04 Apr 2026 - 11:29

1.3k

Views

Show that the graph of a smooth map is a submanifold.

Published on 01 May 2026 - 12:24

920

Views

Is any immersed manifold also embedded?

Published on 04 Apr 2026 - 13:10

80

Views

Is the set where there is a unique distance minimizer to a submanifold open?

Published on 02 Apr 2026 - 13:06

35

Views

Can we restrict the dimension of the domain to make the image lower dimensional?

Published on 03 Apr 2026 - 14:11

110

Views

Every compact connected hypersurface with enough symmetry is a sphere

Published on 30 Mar 2026 - 0:01

58

Views

Dimension of topological submanifold is at most that of the containing manifold

Published on 05 Apr 2026 - 15:24

90

Views

Lagrangian submanifolds, symplectomorphism

Published on 27 Mar 2026 - 4:03

List Question

How to show $UM$ is an embedded $(2m-1)$-dimensional submanifold of $T\Bbb R^n\approx \Bbb R^n\times \Bbb R^n$?

Submanifold Tangent to Given Vector Fields

Is compliment of a zero section of a vector bundle a submanifold?

Synge inequality

Reference request: clean intersection between submanifolds

Example of a submanifold $S\subseteq M$ that is an immersed submanifold is more than one way?

Prove $g(t,u)$ is a regular surface when it may have singular points.

Show that submanifolds are in fact manifolds.

Show that the graph of a smooth map is a submanifold.

Is any immersed manifold also embedded?

Is the set where there is a unique distance minimizer to a submanifold open?

Can we restrict the dimension of the domain to make the image lower dimensional?

Every compact connected hypersurface with enough symmetry is a sphere

Dimension of topological submanifold is at most that of the containing manifold

Lagrangian submanifolds, symplectomorphism

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