List questions from riemannian-geometry

Published on 20 Sep 2018 - 23:41

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What is the covariant derivative of the covector field $\alpha_{\bf i} {\bf e}^{\bf i}$?

Published on 25 Mar 2026 - 11:21

72

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Exterior derivative calculation in Chern and Hamilton paper

Published on 23 Feb 2026 - 2:38

97

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If a hypersurface has a self-intersection point, then the second fundamental form it is negative in a neighborhood of this point

Published on 24 Mar 2026 - 20:46

196

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$\text{SL}(2,\mathbb{R})$ acts on the hyperbolic space by isometries

Published on 25 Mar 2026 - 18:54

53

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Show that $K=-\frac{\Delta \log \lambda }{\lambda ^{2}}$

Published on 26 Mar 2026 - 17:29

35

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Confusion regarding summation convention.

Published on 25 Mar 2026 - 4:55

320

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Theorema Egregium and coeficcients of the second fundamental form

Published on 26 Mar 2026 - 17:32

186

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Glueing the metric

Published on 26 Mar 2026 - 4:49

322

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Hodge star operator on submanifolds

Published on 24 Sep 2018 - 5:12

110

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Dual element of supporting function

Published on 25 Mar 2026 - 8:49

470

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Tubular-Neighborhood Theorems (proof question)

Published on 26 Sep 2018 - 8:32

517

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Curvature of a homogenous manifold.

Published on 25 Mar 2026 - 9:00

103

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Relation between Hodge star operator of two related metric

Published on 28 Sep 2018 - 5:57

561

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Linear functions on Riemannian manifolds

Published on 28 Sep 2018 - 15:43

List Question

Complete manifold in the Lee's book.

What is the covariant derivative of the covector field $\alpha_{\bf i} {\bf e}^{\bf i}$?

Exterior derivative calculation in Chern and Hamilton paper

If a hypersurface has a self-intersection point, then the second fundamental form it is negative in a neighborhood of this point

$\text{SL}(2,\mathbb{R})$ acts on the hyperbolic space by isometries

Show that $K=-\frac{\Delta \log \lambda }{\lambda ^{2}}$

Confusion regarding summation convention.

Theorema Egregium and coeficcients of the second fundamental form

Glueing the metric

Hodge star operator on submanifolds

Dual element of supporting function

Tubular-Neighborhood Theorems (proof question)

Curvature of a homogenous manifold.

Relation between Hodge star operator of two related metric

Linear functions on Riemannian manifolds

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