List questions from riemannian-geometry

Published on 30 Oct 2018 - 15:59

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Making sense of a Lagrangian on a manifold

Published on 30 Oct 2018 - 16:31

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Linear isomorphism determined by parallel transport

Published on 01 Nov 2018 - 0:40

174

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What are the (important) applications of Thurston's geometrization conjecture?

Published on 01 Nov 2018 - 5:28

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Is it true that the second fundamental form of a geodesic as a one-dimensional submanifold is zero?

Published on 25 Mar 2026 - 8:09

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Differential Geometry of Surfaces in Higher Dimensions

Published on 26 Mar 2026 - 22:13

468

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Evolution equation of Christoffel symbols under Mean Curvature Flow

Published on 24 Mar 2026 - 20:41

68

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Let $N$ a submanifold of a Riemannian manifold $M$. A geodesic in $M$ with image contained in $N$ is a geodesic in $N$.

Published on 04 Nov 2018 - 0:31

351

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how to see that isometries are distance preserving

Published on 04 Nov 2018 - 1:47

56

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Existence of certain surfaces in flat riemannian 3-manifold

Published on 06 Nov 2018 - 17:15

51

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Show $J_{D}^{\prime }\left( X_{t}\right) =\frac{d}{dt}J_{D}\left( X_{t}\right) =\int_{D}\left( -2H_{t}+2H_{0}\right) \lambda _{t}dM$

Published on 07 Nov 2018 - 0:33

200

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"The volumes of tubes in a Riemannian manifold" by Alfred Gray

Published on 07 Nov 2018 - 11:15

47

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Show that $C_{c}\cap \left\{ z=0\right\} =\partial B$

Published on 26 Mar 2026 - 20:44

208

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Second fundamental form in almost complex manifold

Published on 07 Nov 2018 - 18:16

100

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Doubt in the demonstration of the Half Space Theorem

Published on 25 Mar 2026 - 3:19

List Question

Gradient of distance-squared on Riemannian manifold

Making sense of a Lagrangian on a manifold

Linear isomorphism determined by parallel transport

What are the (important) applications of Thurston's geometrization conjecture?

Is it true that the second fundamental form of a geodesic as a one-dimensional submanifold is zero?

Differential Geometry of Surfaces in Higher Dimensions

Evolution equation of Christoffel symbols under Mean Curvature Flow

Let $N$ a submanifold of a Riemannian manifold $M$. A geodesic in $M$ with image contained in $N$ is a geodesic in $N$.

how to see that isometries are distance preserving

Existence of certain surfaces in flat riemannian 3-manifold

Show $J_{D}^{\prime }\left( X_{t}\right) =\frac{d}{dt}J_{D}\left( X_{t}\right) =\int_{D}\left( -2H_{t}+2H_{0}\right) \lambda _{t}dM$

"The volumes of tubes in a Riemannian manifold" by Alfred Gray

Show that $C_{c}\cap \left\{ z=0\right\} =\partial B$

Second fundamental form in almost complex manifold

Doubt in the demonstration of the Half Space Theorem

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