List questions from manifolds

Published on 11 Apr 2026 - 23:45

2.2k

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Why does the homology of noncompact manifolds often vanish below the dimension?

Published on 10 Mar 2017 - 5:09

176

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How does a smooth differential structure hide a discontinuity?

Published on 11 Apr 2026 - 0:36

651

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Logarithm for smooth functions

Published on 11 Apr 2026 - 6:41

304

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How to use the corollary (manifold version rank theorem) to prove the quoted theorem?

Published on 12 Apr 2026 - 6:42

221

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Every complex manifold is almost complex manifold

Published on 11 Apr 2026 - 15:27

404

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Basic question on fiber bundles

Published on 11 Apr 2026 - 2:40

646

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Almost complex manifold but not complex

Published on 10 Apr 2026 - 15:11

2.4k

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Constant curvature riemann manifold

Published on 28 Mar 2026 - 21:56

76

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Calculate $ r^\omega $ and show that $ \int _{[c,d]} r^\omega = \int _{[a,b]} \omega $.

Published on 02 Apr 2026 - 13:43

459

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Applications of Steenrod Squares

Published on 05 Apr 2026 - 23:03

138

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Transverse intersection of submanifolds of $\mathbb P^2$

Published on 25 Mar 2026 - 12:51

440

Views

Manifold $M$ and affine scheme $\text{Spec}(C^\infty(M))$.

Published on 26 Mar 2026 - 14:42

138

Views

Which manifolds books can help me with my class?

Published on 02 Apr 2026 - 9:42

391

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Applications of Atiyah Singer Index Theorem

Published on 25 Mar 2026 - 23:53

List Question

Crash course to understand the language of "vector bundles"

Why does the homology of noncompact manifolds often vanish below the dimension?

How does a smooth differential structure hide a discontinuity?

Logarithm for smooth functions

How to use the corollary (manifold version rank theorem) to prove the quoted theorem?

Every complex manifold is almost complex manifold

Basic question on fiber bundles

Almost complex manifold but not complex

Constant curvature riemann manifold

Calculate $ r^\omega $ and show that $ \int _{[c,d]} r^\omega = \int _{[a,b]} \omega $.

Applications of Steenrod Squares

Transverse intersection of submanifolds of $\mathbb P^2$

Manifold $M$ and affine scheme $\text{Spec}(C^\infty(M))$.

Which manifolds books can help me with my class?

Applications of Atiyah Singer Index Theorem

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