List questions from riemannian-geometry

Published on 20 Jan 2019 - 10:59

110

Views

Are Riemannian Geometry and Differential topology the same thing?

Published on 21 Jan 2019 - 9:46

147

Views

Geometric way to view affine connection and parallel transport.

Published on 25 Mar 2026 - 17:26

66

Views

Several Questions about Hilbert Manifold

Published on 22 Jan 2019 - 4:42

428

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Does $d x^\mu=g^{\mu\nu} \partial_\nu$, or $\partial_\nu=g_{\nu \mu}dx^\mu$?

Published on 25 Mar 2026 - 10:56

183

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Ordinary and covariant derivative inequality: $ \| u\|_1 \leq C\left( \| \frac{Du}{dt} \|_0 + \|u\|_0 \right) $

Published on 25 Mar 2026 - 16:23

748

Views

Convergence of gradient flow

Published on 27 Mar 2026 - 1:12

284

Views

Weyl curvature of hypersurface in $\mathbb{R}^{n+1}$

Published on 24 Jan 2019 - 2:43

150

Views

When do two different Jacobi Fields commute in the sense of the Lie Bracket?

Published on 25 Mar 2026 - 4:40

88

Views

How to find out this Riemannian metric for this manifold?

Published on 26 Mar 2026 - 9:17

406

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What is $T^1(\mathbb H^2/PSL_2(\mathbb Z))$?

Published on 25 Mar 2026 - 14:00

363

Views

Computing geodesics on pseudo-riemannian manifolds

Published on 24 Mar 2026 - 23:43

390

Views

Finding incomplete solutions of second order ODE system

Published on 26 Mar 2026 - 19:37

323

Views

Under exponential map in a Riemannian manifold, what radius keeps the image of a ball a geodesic space?

Published on 26 Jan 2019 - 19:54

76

Views

$\int_{T_pM}\phi\ dx = \int_M \lambda^{-d}\phi(\lambda^{-1}\exp_p^{-1}(\cdot))\ dV_g$?

Published on 28 Jan 2019 - 5:47

List Question

Does the volume of a submanifold depend on a choice of coordinates?

Are Riemannian Geometry and Differential topology the same thing?

Geometric way to view affine connection and parallel transport.

Several Questions about Hilbert Manifold

Does $d x^\mu=g^{\mu\nu} \partial_\nu$, or $\partial_\nu=g_{\nu \mu}dx^\mu$?

Ordinary and covariant derivative inequality: $ \| u\|_1 \leq C\left( \| \frac{Du}{dt} \|_0 + \|u\|_0 \right) $

Convergence of gradient flow

Weyl curvature of hypersurface in $\mathbb{R}^{n+1}$

When do two different Jacobi Fields commute in the sense of the Lie Bracket?

How to find out this Riemannian metric for this manifold?

What is $T^1(\mathbb H^2/PSL_2(\mathbb Z))$?

Computing geodesics on pseudo-riemannian manifolds

Finding incomplete solutions of second order ODE system

Under exponential map in a Riemannian manifold, what radius keeps the image of a ball a geodesic space?

$\int_{T_pM}\phi\ dx = \int_M \lambda^{-d}\phi(\lambda^{-1}\exp_p^{-1}(\cdot))\ dV_g$?

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