List questions from manifolds

Published on 13 Apr 2026 - 8:46

1k

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$L^\infty$-bounds on eigenfunctions of Laplace-Beltrami opeator

Published on 12 Apr 2026 - 23:57

267

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Is this one infinite dimensional manifold?

Published on 13 Apr 2026 - 2:34

70

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How to show that the inverse image of a face of a simple polytope is a connected manifold?

Published on 25 Mar 2026 - 6:30

203

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Check Riemannian manifold's isometry to $\Bbb{R}^n$

Published on 14 Apr 2026 - 20:13

725

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Group Action and Smooth Manifolds

Published on 23 Apr 2026 - 16:50

75

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Open product neighbourhoods

Published on 08 Apr 2026 - 18:53

164

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Existence of a vector field which dominates the first local vector fields given by the charts of a locally finite covering

Published on 23 Apr 2026 - 21:58

32

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$M\subset\mathbb{R}^n$ is a open subset, $p\in M$ is arbitrary. Find $T_pM$ and $N_pM$

Published on 16 Apr 2026 - 2:07

2.8k

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Tangent space as derivations exercise

Published on 10 Apr 2026 - 19:25

2.6k

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Can a fractal be a manifold? if so: will its boundary (if exists) be strictly one dimension lower?

Published on 17 Apr 2026 - 9:36

1.2k

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Injectivity of the Differential of Smooth Map

Published on 24 Apr 2026 - 12:00

367

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When do we call the boundary $\partial\Omega$ of a bounded domain $\Omega\subseteq\mathbb{R}^n$ smooth?

Published on 27 Mar 2026 - 4:38

66

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Compute in the chosen charts of $M$ and $S^1$ the expression of $DF_{(5,0,-4)}$

Published on 15 Apr 2026 - 17:21

113

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Let $p=(5,0,-4)$ and $v \in T_{(5,0,-4)}M$. Compute $(F^{*}\omega)_p(v)$.

Published on 16 Apr 2026 - 12:31

List Question

Differentiating an endomorphism

$L^\infty$-bounds on eigenfunctions of Laplace-Beltrami opeator

Is this one infinite dimensional manifold?

How to show that the inverse image of a face of a simple polytope is a connected manifold?

Check Riemannian manifold's isometry to $\Bbb{R}^n$

Group Action and Smooth Manifolds

Open product neighbourhoods

Existence of a vector field which dominates the first local vector fields given by the charts of a locally finite covering

$M\subset\mathbb{R}^n$ is a open subset, $p\in M$ is arbitrary. Find $T_pM$ and $N_pM$

Tangent space as derivations exercise

Can a fractal be a manifold? if so: will its boundary (if exists) be strictly one dimension lower?

Injectivity of the Differential of Smooth Map

When do we call the boundary $\partial\Omega$ of a bounded domain $\Omega\subseteq\mathbb{R}^n$ smooth?

Compute in the chosen charts of $M$ and $S^1$ the expression of $DF_{(5,0,-4)}$

Let $p=(5,0,-4)$ and $v \in T_{(5,0,-4)}M$. Compute $(F^{*}\omega)_p(v)$.

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