List questions from submanifold

247

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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 09 Aug 2019 - 6:14

308

Views

Submanifold Tangent to Given Vector Fields

Published on 12 Aug 2019 - 19:30

631

Views

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

Published on 25 Mar 2026 - 8:09

100

Views

Synge inequality

Published on 16 Sep 2019 - 18:03

934

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Reference request: clean intersection between submanifolds

Published on 20 Sep 2019 - 11:27

2k

Views

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

Published on 13 Aug 2014 - 3:07

135

Views

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

Published on 08 Oct 2019 - 0:22

290

Views

Show that submanifolds are in fact manifolds.

Published on 07 Mar 2026 - 10:09

1.3k

Views

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

Published on 18 Mar 2026 - 9:40

919

Views

Is any immersed manifold also embedded?

Published on 14 Oct 2019 - 23:26

79

Views

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

Published on 23 Mar 2026 - 7:56

34

Views

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

Published on 31 Oct 2019 - 9:25

109

Views

Every compact connected hypersurface with enough symmetry is a sphere

Published on 09 Nov 2019 - 17:40

57

Views

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

Published on 15 Nov 2019 - 2:14

89

Views

Lagrangian submanifolds, symplectomorphism

Published on 18 Nov 2019 - 15:04

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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