List questions from riemannian-geometry

Published on 11 Feb 2017 - 15:27

299

Views

Expression of $R_{ijk}^s$ in terms of coefficients $\Gamma_{ij}^k$ of the Riemannian connection

Published on 27 Mar 2026 - 0:06

82

Views

Derivative of conical function

Published on 12 Feb 2017 - 10:21

63

Views

How to prove $\mathcal{L}_X (vol) = -\delta \alpha \ vol$ where $\alpha = \iota_X (g) $?

Published on 12 Feb 2017 - 13:06

894

Views

Why the codifferential depends only on the connection (and not the metric)?

Published on 27 Mar 2026 - 0:04

2k

Views

Positive Ricci curvature vs sectional curvature

Published on 15 Feb 2017 - 0:57

9.1k

Views

What is the affine connection, and what is the intuition behind/for affine connection?

Published on 27 Mar 2026 - 0:04

2.1k

Views

Divergence of vector fields and the trace of the Lie derivative of the metric

Published on 26 Mar 2026 - 12:37

52

Views

Are there always non-parallel bundle morphisms which preserve metricity?

Published on 27 Mar 2026 - 0:10

317

Views

Volume form for a warped product

Published on 02 Apr 2026 - 16:52

62

Views

Compute the Jacobi fields for the geodesic variations

Published on 27 Mar 2026 - 1:43

94

Views

What are covariant derivatives, and what is the intuition behind/for covariant derivatives?

Published on 16 Feb 2017 - 21:40

39

Views

Interchange points by Lorentz transformation

Published on 17 Feb 2017 - 5:04

3.3k

Views

Lie bracket of local orthonormal basis of vector fields

Published on 01 Apr 2026 - 18:34

881

Views

compute genus of sphere and torus

Published on 17 Feb 2017 - 9:54

List Question

Understanding Riemannian geometry without a suitable background

Expression of $R_{ijk}^s$ in terms of coefficients $\Gamma_{ij}^k$ of the Riemannian connection

Derivative of conical function

How to prove $\mathcal{L}_X (vol) = -\delta \alpha \ vol$ where $\alpha = \iota_X (g) $?

Why the codifferential depends only on the connection (and not the metric)?

Positive Ricci curvature vs sectional curvature

What is the affine connection, and what is the intuition behind/for affine connection?

Divergence of vector fields and the trace of the Lie derivative of the metric

Are there always non-parallel bundle morphisms which preserve metricity?

Volume form for a warped product

Compute the Jacobi fields for the geodesic variations

What are covariant derivatives, and what is the intuition behind/for covariant derivatives?

Interchange points by Lorentz transformation

Lie bracket of local orthonormal basis of vector fields

compute genus of sphere and torus

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