User Jeffrey Case

18 votes

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Geometric interpretation of the Weyl tensor?

answered Aug 7, 2020 at 0:50

11 votes

Locally conformally flat

answered Apr 27 at 11:26

10 votes

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Definition of the conformal metric

answered Apr 24, 2023 at 11:08

7 votes

Nirenberg problem in conformal change

answered Apr 15, 2023 at 11:31

6 votes

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A closed $(1,1)$-form $\eta$ is harmonic if and only if $\Lambda\eta = \text{constant}$

answered May 4 at 11:37

6 votes

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$S^3$ as a Sasakian Manifold

answered Apr 29, 2020 at 18:27

6 votes

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Spectral theory of infinite volume hyperbolic manifolds

answered May 9, 2022 at 18:35

6 votes

Simplification of integral on the sphere

answered Mar 13, 2018 at 12:40

6 votes

On equation $\Delta \circ \partial/\partial X=\partial/\partial X \circ \Delta$ on a Riemannian manifold

answered Jun 16, 2019 at 14:26

5 votes

Is the conformal compactification of $M \setminus \{ p \}$ unique?

answered Jul 12, 2019 at 13:48

5 votes

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Example of shrinking Ricci soliton

answered Dec 4, 2020 at 13:50

5 votes

Trace and divergence of the Bach tensor

answered Feb 3, 2021 at 11:59

5 votes

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Hodge decomposition for non-elliptic complexes

answered Feb 11, 2023 at 1:29

5 votes

Finding a hyperbolic metric with geodesic boundary on a given Riemann surface

answered May 10, 2023 at 0:28

4 votes

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Lee-Parker Yamabe problem proposition 4.6

answered Sep 14, 2023 at 18:49

4 votes

Why is $\frac{1}{|x|^{n-2}}u(\frac{x}{|x|^2})$ harmonic if $u$ is harmonic?

answered Oct 26, 2022 at 13:06

4 votes

What are some explicit examples of nontrivial gradient almost Ricci solitons with harmonic curvature?

answered Nov 2, 2022 at 0:04

4 votes

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Bochner formula in different forms

answered Jul 1, 2018 at 11:23

3 votes

Einstein warped product manifold Ricci flat

answered Nov 14, 2018 at 18:01

3 votes

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Yamabe operator, conformal transformations and square of the Dirac operator

answered Jun 26, 2022 at 12:50

3 votes

The linearization problem of fully nonlinear equation on standard sphere

answered Apr 17, 2023 at 19:10

2 votes

Kelvin transformation in fully nonlinear equation

answered Apr 19, 2023 at 14:09

2 votes

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Tensor component calculation

answered Sep 17 at 19:11

2 votes

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Does any warped product metric admit a function with hessian proportional to the metric?

answered Dec 1, 2023 at 1:13

2 votes

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Expansion of metric near boundary of 3 dimensional Poincaré-Einstein/hyperbolic manifolds

answered Dec 1, 2023 at 1:34

1 vote

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How to calculate the infimum of Yamabe functional on upper hemisphere

answered Oct 11, 2022 at 13:19

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26 Answers

Geometric interpretation of the Weyl tensor?

Locally conformally flat

Definition of the conformal metric

Nirenberg problem in conformal change

A closed $(1,1)$-form $\eta$ is harmonic if and only if $\Lambda\eta = \text{constant}$

$S^3$ as a Sasakian Manifold

Spectral theory of infinite volume hyperbolic manifolds

Simplification of integral on the sphere

On equation $\Delta \circ \partial/\partial X=\partial/\partial X \circ \Delta$ on a Riemannian manifold

Is the conformal compactification of $M \setminus \{ p \}$ unique?

Example of shrinking Ricci soliton

Trace and divergence of the Bach tensor

Hodge decomposition for non-elliptic complexes

Finding a hyperbolic metric with geodesic boundary on a given Riemann surface

Lee-Parker Yamabe problem proposition 4.6

Why is $\frac{1}{|x|^{n-2}}u(\frac{x}{|x|^2})$ harmonic if $u$ is harmonic?

What are some explicit examples of nontrivial gradient almost Ricci solitons with harmonic curvature?

Bochner formula in different forms

Einstein warped product manifold Ricci flat

Yamabe operator, conformal transformations and square of the Dirac operator

The linearization problem of fully nonlinear equation on standard sphere

Kelvin transformation in fully nonlinear equation

Tensor component calculation

Does any warped product metric admit a function with hessian proportional to the metric?

Expansion of metric near boundary of 3 dimensional Poincaré-Einstein/hyperbolic manifolds

How to calculate the infimum of Yamabe functional on upper hemisphere