List questions from smooth-manifolds

90

Views

If $p: \widetilde{M} \to M$ is a covering map and $X$ a vector field on $M$, then exists a vector field satisfying $dp \widetilde{X} = X \circ h $

Published on 25 Mar 2026 - 14:36

323

Views

Integrating over a sphere

Published on 05 Aug 2018 - 5:51

2.2k

Views

Existence of Orthonormal Basis of a Metric in a Manifold

Published on 24 Mar 2026 - 23:48

326

Views

Sets of measure zero and smooth functions

Published on 05 Aug 2018 - 16:27

57

Views

Existence of transversal loops on a vector field without singular points on $\mathbb{T}^2$

Published on 27 Mar 2026 - 10:09

2.2k

Views

Finding local orthonormal frame on a Pseudo-Riemannian Manifold

Published on 25 Mar 2026 - 9:26

321

Views

Understanding some definitions of smooth manifolds and the inverse function theorem

Published on 27 Mar 2026 - 21:20

597

Views

How to construct many smooth structures on a differentiable manifold?

Published on 07 Aug 2018 - 7:17

469

Views

Existence of Global Defining Function for Hypersurface

Published on 25 Mar 2026 - 3:07

75

Views

Where is this Definition of a Manifold from?

Published on 27 Mar 2026 - 10:11

1.7k

Views

Maximal Smooth Atlas For Stereographic Projection

Published on 27 Mar 2026 - 10:15

191

Views

Why do we need to specify that we are taking integral wrt to the volume element in the case of parametrised-manifold?

Published on 27 Mar 2026 - 21:23

284

Views

$\epsilon$ function of a tubular neighborhood

Published on 25 Mar 2026 - 6:11

716

Views

Trace-free part of the second fundamental form

Published on 25 Mar 2026 - 14:33

256

Views

Applications of Sard's theorem?

Published on 27 Mar 2026 - 11:46

List Question

If $p: \widetilde{M} \to M$ is a covering map and $X$ a vector field on $M$, then exists a vector field satisfying $dp \widetilde{X} = X \circ h $

Integrating over a sphere

Existence of Orthonormal Basis of a Metric in a Manifold

Sets of measure zero and smooth functions

Existence of transversal loops on a vector field without singular points on $\mathbb{T}^2$

Finding local orthonormal frame on a Pseudo-Riemannian Manifold

Understanding some definitions of smooth manifolds and the inverse function theorem

How to construct many smooth structures on a differentiable manifold?

Existence of Global Defining Function for Hypersurface

Where is this Definition of a Manifold from?

Maximal Smooth Atlas For Stereographic Projection

Why do we need to specify that we are taking integral wrt to the volume element in the case of parametrised-manifold?

$\epsilon$ function of a tubular neighborhood

Trace-free part of the second fundamental form

Applications of Sard's theorem?

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