List questions from smooth-manifolds

Published on 25 Mar 2026 - 6:34

122

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At what points the application ceases to be an immersion?

Published on 26 Mar 2026 - 20:39

22

Views

On the Regularity of a shrunken domain

Published on 26 Mar 2026 - 23:09

86

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The 3rd de Rham cohomology of a 6th-dimensional oriented compact smooth manifold has even dimension

Published on 26 Mar 2026 - 12:48

84

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Is $\mathbb{CP}^4 \vee S^5$ homotopy equivalent to any compact manifold without boundary?

Published on 10 Jun 2019 - 4:52

38

Views

How is a $k$-form integrated over an oriented smooth $n$-manifold in the case it is connected?

Published on 25 Mar 2026 - 14:22

139

Views

Smooth submanifold of $\mathbb R^6$. Not smooth submanifold of $\mathbb R^3$

Published on 25 Mar 2026 - 6:04

83

Views

Local coordinates on Lorentzian manifold

Published on 25 Mar 2026 - 12:14

286

Views

Why the multiplication map of a Lie group has constant rank?

Published on 27 Mar 2026 - 0:03

145

Views

Injective smooth map which is immersive and submersive is actually a global diffeomorphism

Published on 25 Mar 2026 - 10:54

47

Views

Prove that a specific map induces an embedding from $\mathbb{R}P^{2}$ into $\mathbb{R}^6$

Published on 31 Mar 2026 - 12:55

188

Views

Prove that the group is properly discontinuous

Published on 31 Mar 2026 - 12:56

721

Views

Show $S^n \setminus \{p,q\} $ is diffeomorphic to $\mathbb R^n \setminus\{0\}$.

Published on 25 Mar 2026 - 11:13

42

Views

Embedding maps from $\mathbb{R}P^{2}$

Published on 31 Mar 2026 - 15:04

615

Views

Statistical distance induced by Fisher information metric on statistical manifold of categorical distribution (simplex)

Published on 26 Mar 2026 - 2:30

List Question

Fixed point property for the total space and base space of a principal bundle

At what points the application ceases to be an immersion?

On the Regularity of a shrunken domain

The 3rd de Rham cohomology of a 6th-dimensional oriented compact smooth manifold has even dimension

Is $\mathbb{CP}^4 \vee S^5$ homotopy equivalent to any compact manifold without boundary?

How is a $k$-form integrated over an oriented smooth $n$-manifold in the case it is connected?

Smooth submanifold of $\mathbb R^6$. Not smooth submanifold of $\mathbb R^3$

Local coordinates on Lorentzian manifold

Why the multiplication map of a Lie group has constant rank?

Injective smooth map which is immersive and submersive is actually a global diffeomorphism

Prove that a specific map induces an embedding from $\mathbb{R}P^{2}$ into $\mathbb{R}^6$

Prove that the group is properly discontinuous

Show $S^n \setminus \{p,q\} $ is diffeomorphic to $\mathbb R^n \setminus\{0\}$.

Embedding maps from $\mathbb{R}P^{2}$

Statistical distance induced by Fisher information metric on statistical manifold of categorical distribution (simplex)

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