List questions from riemannian-geometry

Published on 14 Feb 2020 - 18:57

726

Views

Expressing Volume Form in local coordinates on Riemannian Manifold

Published on 27 Mar 2026 - 20:53

58

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Calculation of covariant derivative

Published on 15 Feb 2020 - 11:14

165

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What is the gradient of length of gradient of function $f$?

Published on 17 Feb 2020 - 11:47

197

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Action of $SO(4)$ on $\Lambda^2 \mathbb{R}^4$

Published on 17 Feb 2020 - 20:04

227

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Why into Minkowski metric we use a pseudo-Riemannian metric and not, simply, a pseudo-metric?

Published on 26 Mar 2026 - 4:36

245

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Projected Euclidean vs. Geodesic distances of embedded manifolds

Published on 18 Feb 2020 - 10:56

354

Views

Is there any Bochner Technique type for two forms?

Published on 18 Feb 2020 - 13:51

321

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Confusion about what is meant by a metric being not admissible on a Riemannian manifold

Published on 18 Feb 2020 - 18:08

81

Views

Two geodesics in a geodesic ball with the same end points are identical?

Published on 20 Feb 2020 - 22:52

585

Views

Decomposition of the Riemann curvature operator in $4$ dimensions

Published on 27 Mar 2026 - 18:09

250

Views

Restricted holonomy principle

Published on 01 Apr 2026 - 13:58

191

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Short proof that a surface has constant Gaussian curvature

Published on 27 Mar 2026 - 18:08

534

Views

Embedding of cylinder submanifold in $\mathbb{R}^3$

Published on 23 Feb 2020 - 20:30

220

Views

Possible to have $m$-dimensional $C^k$ embedded submanifold in $\mathbb{R}^p$ with canonical projections onto $m$ dimensions are of dim $<m$ a.e.?

Published on 24 Feb 2020 - 12:11

List Question

Quotient of $ S^3 \times S^3$ by a free torus action.

Expressing Volume Form in local coordinates on Riemannian Manifold

Calculation of covariant derivative

What is the gradient of length of gradient of function $f$?

Action of $SO(4)$ on $\Lambda^2 \mathbb{R}^4$

Why into Minkowski metric we use a pseudo-Riemannian metric and not, simply, a pseudo-metric?

Projected Euclidean vs. Geodesic distances of embedded manifolds

Is there any Bochner Technique type for two forms?

Confusion about what is meant by a metric being not admissible on a Riemannian manifold

Two geodesics in a geodesic ball with the same end points are identical?

Decomposition of the Riemann curvature operator in $4$ dimensions

Restricted holonomy principle

Short proof that a surface has constant Gaussian curvature

Embedding of cylinder submanifold in $\mathbb{R}^3$

Possible to have $m$-dimensional $C^k$ embedded submanifold in $\mathbb{R}^p$ with canonical projections onto $m$ dimensions are of dim $<m$ a.e.?

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