User Robert Bryant

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Equivalence generated by Jacobian minors

answered Jul 6, 2020 at 18:23

4 votes

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Totally geodesic submanifolds of complex Grassmannians

answered Jul 7, 2020 at 12:16

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When are principal bundles supporting Cartan connections isomorphic?

answered Sep 21, 2020 at 13:08

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Orientation-preserving isometric involution on compact Kähler manifold

answered Sep 7, 2020 at 16:44

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Transformation from the PDE problem with a source to the PDE problem without it and viceversa

answered May 22, 2020 at 12:32

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Every homotopy class contains at least a harmonic representative

answered Apr 19, 2020 at 11:46

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Homotopicity of two certain sections of frame bundle of $GL(n,\mathbb{R})$

answered Jan 6, 2020 at 19:26

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Complex-doubly periodic function in two variables?

answered Jan 31, 2021 at 20:00

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Existence of complex function?

answered Feb 3, 2021 at 20:33

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Smoothness of conformal transformations

answered Jan 28, 2021 at 11:31

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Groups that act transitively on $\mathrm{Gr}(k,\Bbb R^n)$ but not transitively on $\mathrm{Gr}(k+1,\Bbb R^n)$

answered Oct 8, 2020 at 20:14

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almost complex $\mathbb{Z}^{6}$-action

answered Nov 22, 2020 at 19:02

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Existence of divergence-free unit vector field in conformally rescaled euclidean metric

answered Apr 24, 2021 at 21:25

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On the equation $[U, V] - V_x = C(x)$

answered May 17, 2021 at 10:37

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Do eigenfunctions determine the geometry of a manifold? If so, do finitely many suffice?

answered Jul 2, 2021 at 15:59

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Volume of submanifold as integral of delta-function

answered Sep 22, 2022 at 9:46

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Mappings between 2-manifolds with symmetries with fixed singular values

answered Jan 23, 2022 at 14:28

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Example of usual Laplacian does not respect bidegree for general hermitian manifolds

answered Dec 3, 2021 at 20:06

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Laplace-Beltrami of the mean curvature

answered Aug 10, 2021 at 15:23

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Existence of solution to a system of linear PDEs with boundary conditions

answered Sep 21, 2021 at 9:38

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Origin of Laguerre geometry?

answered Jul 10, 2021 at 10:52

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Linear hyperbolic PDE on compact two dimensional domain

answered Jul 20, 2021 at 10:34

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Does Hermite-Einstein imply Kähler-Einstein?

answered Nov 5, 2023 at 17:39

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Are there always flat connections?

answered Sep 28, 2023 at 0:13

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Unitary transformations of Vandermonde matrices forms a smooth manifold?

answered Jun 2 at 21:35

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Smooth isometric immersions of the a hemisphere in $\mathbb R^3$

answered Aug 15 at 9:03

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Inverse problem of the calculus of variations for autonomous second-order ODEs

answered Aug 31 at 19:23

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Show $\langle \log(R), \log(R^{-1}S) \rangle \geq \langle \log(R), \log(S) - \log(R) \rangle $ for all $R,S \in \mathrm{SO}(3)$

answered May 14, 2023 at 16:58

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Upper bound on volume growth of area minimizers

answered Nov 21, 2022 at 14:09

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

answered Nov 28, 2022 at 11:56

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998 Answers

Equivalence generated by Jacobian minors

Totally geodesic submanifolds of complex Grassmannians

When are principal bundles supporting Cartan connections isomorphic?

Orientation-preserving isometric involution on compact Kähler manifold

Transformation from the PDE problem with a source to the PDE problem without it and viceversa

Every homotopy class contains at least a harmonic representative

Homotopicity of two certain sections of frame bundle of $GL(n,\mathbb{R})$

Complex-doubly periodic function in two variables?

Existence of complex function?

Smoothness of conformal transformations

Groups that act transitively on $\mathrm{Gr}(k,\Bbb R^n)$ but not transitively on $\mathrm{Gr}(k+1,\Bbb R^n)$

almost complex $\mathbb{Z}^{6}$-action

Existence of divergence-free unit vector field in conformally rescaled euclidean metric

On the equation $[U, V] - V_x = C(x)$

Do eigenfunctions determine the geometry of a manifold? If so, do finitely many suffice?

Volume of submanifold as integral of delta-function

Mappings between 2-manifolds with symmetries with fixed singular values

Example of usual Laplacian does not respect bidegree for general hermitian manifolds

Laplace-Beltrami of the mean curvature

Existence of solution to a system of linear PDEs with boundary conditions

Origin of Laguerre geometry?

Linear hyperbolic PDE on compact two dimensional domain

Does Hermite-Einstein imply Kähler-Einstein?

Are there always flat connections?

Unitary transformations of Vandermonde matrices forms a smooth manifold?

Smooth isometric immersions of the a hemisphere in $\mathbb R^3$

Inverse problem of the calculus of variations for autonomous second-order ODEs

Show $\langle \log(R), \log(R^{-1}S) \rangle \geq \langle \log(R), \log(S) - \log(R) \rangle $ for all $R,S \in \mathrm{SO}(3)$

Upper bound on volume growth of area minimizers

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