List questions from manifolds

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Is it possible to study Differential Geometry from Spivak's books starting with the second volume without reading the first one?

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73

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Is there a complex structure on $\mathbb{R}^2$ such that $f(x,y) = x-iy$ is analytic?

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About of the curvature of Riemann as an operator

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What should be proper definition of a polyhedron(not necessarily convex)?

Published on 26 Mar 2026 - 1:03

270

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Connected 1-manifolds

Published on 27 May 2018 - 14:39

202

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$k$-form $\omega$ is smooth iff it is smooth as a section $\omega \colon M\rightarrow \Lambda ^k(M)$ of $\pi$

Published on 26 Mar 2026 - 16:06

422

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Find sequential orthographic projections, linking three different manifolds of dimension $n=1,2,3$

Published on 25 Mar 2026 - 9:36

525

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Orientation reversing involution on the sphere

Published on 28 May 2018 - 1:49

42

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The rank of a map inducing a manifold

Published on 26 Mar 2026 - 14:43

597

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A special parallelization of $S^3$

Published on 26 Mar 2026 - 9:49

642

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Vector Laplacian on Manifolds

Published on 26 Mar 2026 - 1:07

69

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d-dimensional topological manifold example

Published on 26 Mar 2026 - 4:49

572

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Smooth structure of a zero-dimensional manifold

Published on 26 Mar 2026 - 9:49

358

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Intersection of surfaces is a curve if intersection of tangent planes is line

Published on 25 Mar 2026 - 22:06

List Question

Explicit examples of manifolds with different signatures (mod 16)

Is it possible to study Differential Geometry from Spivak's books starting with the second volume without reading the first one?

Is there a complex structure on $\mathbb{R}^2$ such that $f(x,y) = x-iy$ is analytic?

About of the curvature of Riemann as an operator

What should be proper definition of a polyhedron(not necessarily convex)?

Connected 1-manifolds

$k$-form $\omega$ is smooth iff it is smooth as a section $\omega \colon M\rightarrow \Lambda ^k(M)$ of $\pi$

Find sequential orthographic projections, linking three different manifolds of dimension $n=1,2,3$

Orientation reversing involution on the sphere

The rank of a map inducing a manifold

A special parallelization of $S^3$

Vector Laplacian on Manifolds

d-dimensional topological manifold example

Smooth structure of a zero-dimensional manifold

Intersection of surfaces is a curve if intersection of tangent planes is line

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