List questions from submanifold

Published on 23 Feb 2023 - 17:30

199

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why $(t^2, t^3)$ is not a submanifold?

Published on 05 Mar 2023 - 4:38

52

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How to prove the existence of unique smooth map $ g: V \to O$ such that $\psi \circ g =f$

Published on 05 Mar 2023 - 19:46

52

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Passing on from one totally-geodesic submanifold to other using the exponential map (for $\mathbb{S}^n$)

Published on 06 Mar 2023 - 4:10

584

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how to prove a torus in $\mathbb{R}^3$ is a smooth manifold

Published on 06 Mar 2023 - 17:03

76

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Definition of submanifolds

Published on 07 Mar 2023 - 8:27

76

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Why is there no proper map for the topologist sine curve?

Published on 09 Mar 2023 - 17:26

118

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Searching for a bound for the integral of a 1-form along a loop.

Published on 14 Mar 2023 - 12:44

78

Views

Proof that $M(a)$ is a regular domain in $\mathrm{Int} M$ in Prof. Lee's Introduction to Smooth Manifolds errata for Theorem 9.26

Published on 14 Mar 2023 - 23:01

104

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How do we get $ J_{f \circ \psi} (x) = J_\psi(x) J_f(y) $ for $f$ on a submanifold, and $\psi$ is local coordinates?

Published on 20 Mar 2023 - 1:59

230

Views

Uniqueness of smooth structures on submanifolds with boundary

Published on 21 Mar 2023 - 4:25

74

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Second fundamental form of isometric embedding

Published on 21 Mar 2023 - 11:17

58

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On kronecker product representation of $AA^t$

Published on 21 Mar 2023 - 12:11

196

Views

Geodesic Equations Surface Revolution Confusion

Published on 23 Mar 2023 - 19:28

82

Views

The tangent bundle as an embedded submanifold when $M$ is an embedded manifold

Published on 25 Mar 2023 - 1:21

List Question

Proving that $\beta^{-1}\circ \alpha $ is differentiable

why $(t^2, t^3)$ is not a submanifold?

How to prove the existence of unique smooth map $ g: V \to O$ such that $\psi \circ g =f$

Passing on from one totally-geodesic submanifold to other using the exponential map (for $\mathbb{S}^n$)

how to prove a torus in $\mathbb{R}^3$ is a smooth manifold

Definition of submanifolds

Why is there no proper map for the topologist sine curve?

Searching for a bound for the integral of a 1-form along a loop.

Proof that $M(a)$ is a regular domain in $\mathrm{Int} M$ in Prof. Lee's Introduction to Smooth Manifolds errata for Theorem 9.26

How do we get $ J_{f \circ \psi} (x) = J_\psi(x) J_f(y) $ for $f$ on a submanifold, and $\psi$ is local coordinates?

Uniqueness of smooth structures on submanifolds with boundary

Second fundamental form of isometric embedding

On kronecker product representation of $AA^t$

Geodesic Equations Surface Revolution Confusion

The tangent bundle as an embedded submanifold when $M$ is an embedded manifold

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