Question

Proof that W is uniquely determined by $M = \{v = x + w : w \in W\}$ and $x_{1} - x_{2} \in W_{1} \cap W_{2}$

score 31 · Answer 1 · 2023-04-29 09:18:11

31

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Proof that W is uniquely determined by $M = \{v = x + w : w \in W\}$ and $x_{1} - x_{2} \in W_{1} \cap W_{2}$

Published on 29 Apr 2023 - 9:18

score 22 · Answer 2 · 2026-04-10 07:35:05

22

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how laplace-beltrami operator(for a flat manifold) can be used in changing partials in this covariant summation?

Published on 10 Apr 2026 - 7:35

score 70 · Answer 3 · 2026-04-13 09:32:15

70

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Equivalent definitions of topological manifold

Published on 13 Apr 2026 - 9:32

score 17 · Answer 4 · 2023-05-02 03:31:40

17

Views

Check if the image of $\phi$ is a 2d manifold and find it's atlas.

Published on 02 May 2023 - 3:31

score 22 · Answer 5 · 2026-04-12 16:42:14

22

Views

The Fibrewise Multiplication on a Normal Vector Bundle of a subset of a Compact Kähler Surface

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score 58 · Answer 6 · 2026-04-03 00:04:04

58

Views

Tensor product of linearly independent vector fields is also linearly independent?

Published on 03 Apr 2026 - 0:04

score 447 · Answer 7 · 2026-03-25 19:03:43

447

Views

Proving $\mathbb{R}P^n$ is orientable if and only if $n$ is odd.

Published on 25 Mar 2026 - 19:03

score 182 · Answer 8 · 2026-03-28 02:06:35

182

Views

$M$ is smooth compact manifold and $C_0,C_1$ disjoint closed subsets of $M$ so there is exists smooth func $f:M \to [0,1]$ s.t $f(C_0)={0},f(C_1)={1}$

Published on 28 Mar 2026 - 2:06

score 73 · Answer 9 · 2026-04-12 21:43:49

73

Views

Literature request: Manifold that is defined by boundary condition of PDE

Published on 12 Apr 2026 - 21:43

score 125 · Answer 10 · 2026-03-26 04:50:50

125

Views

Proving a certain map on $S^n$ is a diffeomorphism

Published on 26 Mar 2026 - 4:50

score 127 · Answer 11 · 2026-03-25 14:19:56

127

Views

Tangent Space under (linear) Transformation

Published on 25 Mar 2026 - 14:19

score 68 · Answer 12 · 2026-04-10 09:49:46

68

Views

Compact Manifolds in Euclidean Spaces

Published on 10 Apr 2026 - 9:49

score 67 · Answer 13 · 2026-04-13 00:49:28

67

Views

Riemannian submersion that preserves the Levi-Civita connection where the fibers are not totally geodesic submanifolds?

Published on 13 Apr 2026 - 0:49

score 165 · Answer 14 · 2026-04-12 23:23:46

165

Views

Does the distance induced from a Riemannian metric on a manifold determine the Riemannian structure?

Published on 12 Apr 2026 - 23:23

score 39 · Answer 15 · 2023-05-10 19:12:49

39

Views

Stuck calculating the length of a curve in polar coordinates.

Published on 10 May 2023 - 19:12

List Question

Proof that W is uniquely determined by $M = \{v = x + w : w \in W\}$ and $x_{1} - x_{2} \in W_{1} \cap W_{2}$

how laplace-beltrami operator(for a flat manifold) can be used in changing partials in this covariant summation?

Equivalent definitions of topological manifold

Check if the image of $\phi$ is a 2d manifold and find it's atlas.

The Fibrewise Multiplication on a Normal Vector Bundle of a subset of a Compact Kähler Surface

Tensor product of linearly independent vector fields is also linearly independent?

Proving $\mathbb{R}P^n$ is orientable if and only if $n$ is odd.

$M$ is smooth compact manifold and $C_0,C_1$ disjoint closed subsets of $M$ so there is exists smooth func $f:M \to [0,1]$ s.t $f(C_0)={0},f(C_1)={1}$

Literature request: Manifold that is defined by boundary condition of PDE

Proving a certain map on $S^n$ is a diffeomorphism

Tangent Space under (linear) Transformation

Compact Manifolds in Euclidean Spaces

Riemannian submersion that preserves the Levi-Civita connection where the fibers are not totally geodesic submanifolds?

Does the distance induced from a Riemannian metric on a manifold determine the Riemannian structure?

Stuck calculating the length of a curve in polar coordinates.

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