User Robert Bryant

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What are first eigenfunctions of Laplacian for $CP^n$ with Fubini-Study metric?

answered Nov 22, 2012 at 14:38

17 votes

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Where did Sophus Lie write the group commutator for two one parameter groups

answered Jun 20, 2013 at 15:03

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Spin group as an automorphism group

answered Jul 29, 2013 at 16:00

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Geodesics on the twisted pseudosphere (Dini's surface)

answered Nov 25, 2013 at 14:09

17 votes

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Invariance of the l.h.s. of Euler-Lagrange equation

answered Apr 2, 2013 at 17:19

16 votes

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Questions on R. Bryant's paper "Calibrated embeddings in the special Lagrangian and coassociative cases"

answered Mar 19, 2013 at 12:25

16 votes

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Representing immersions from a surface into 3-space

answered Apr 23, 2013 at 22:52

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ANOTHER Exterior differential system on $SO(3;\mathbb R) \times \mathbb R$

answered Nov 8, 2012 at 14:51

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A Question on Exterior Forms

answered Nov 20, 2012 at 21:13

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Curvature of the Cayley projective plane

answered Sep 4, 2012 at 12:11

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On the determination of a quadratic form from its isotropy group

answered Feb 7, 2012 at 4:21

16 votes

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Exactness of 2nd-Order Differential Equations via Differential Forms

answered Jul 31, 2011 at 14:13

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How much can one say about this differential equation?

answered Sep 4, 2014 at 18:23

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Are there principal $G$-bundles whose holonomy group is $G$?

answered Jan 9, 2014 at 19:36

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Quotienting $SU(3)$ by $U(1)$?

answered Apr 18, 2014 at 16:22

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The surjectivity of the exponential map for the isometry group

answered Jul 14, 2014 at 18:11

16 votes

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Intuition for the Cartan connection and "rolling without slipping" in Cartan geometry

answered Jan 29, 2016 at 15:48

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Are there some intrinsic invariants of surfaces other than Gaussian curvature?

answered Jun 6, 2016 at 11:35

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Projective-invariant differential operator

answered Jan 10, 2019 at 22:09

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Higher order generalization of Cauchy-Schwarz?

answered Jul 31, 2020 at 20:08

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Moving frames method

answered Oct 11, 2022 at 10:00

15 votes

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Intuition for no isometric embedding of round projective plane into $\mathbb{R}^4 $

answered Jan 28, 2022 at 13:56

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Algebraic atlas on smooth manifolds

answered Dec 4, 2021 at 13:16

15 votes

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Why, conceptually, does the torus normalizer in $G_2$ split?

answered Jul 31 at 19:42

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Reference for the proof that Möbius transformations extend to isometries of hyperbolic 3-space

answered Aug 7 at 14:06

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Example of non homogenous manifold with a finitely generated algebra of natural functions

answered Dec 2 at 10:19

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Non-isomorphic compact Kähler manifolds that are biholomorphic, symplectomorphic and isometric

answered Sep 5, 2020 at 0:21

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Analysis of solutions to a nonlinear ODE

answered Apr 28, 2020 at 11:17

15 votes

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Locally Riemannian Connection

answered Jan 17, 2018 at 14:36

15 votes

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$2 \times 2$ matrix question

answered Dec 27, 2017 at 15:36

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998 Answers

What are first eigenfunctions of Laplacian for $CP^n$ with Fubini-Study metric?

Where did Sophus Lie write the group commutator for two one parameter groups

Spin group as an automorphism group

Geodesics on the twisted pseudosphere (Dini's surface)

Invariance of the l.h.s. of Euler-Lagrange equation

Questions on R. Bryant's paper "Calibrated embeddings in the special Lagrangian and coassociative cases"

Representing immersions from a surface into 3-space

ANOTHER Exterior differential system on $SO(3;\mathbb R) \times \mathbb R$

A Question on Exterior Forms

Curvature of the Cayley projective plane

On the determination of a quadratic form from its isotropy group

Exactness of 2nd-Order Differential Equations via Differential Forms

How much can one say about this differential equation?

Are there principal $G$-bundles whose holonomy group is $G$?

Quotienting $SU(3)$ by $U(1)$?

The surjectivity of the exponential map for the isometry group

Intuition for the Cartan connection and "rolling without slipping" in Cartan geometry

Are there some intrinsic invariants of surfaces other than Gaussian curvature?

Projective-invariant differential operator

Higher order generalization of Cauchy-Schwarz?

Moving frames method

Intuition for no isometric embedding of round projective plane into $\mathbb{R}^4 $

Algebraic atlas on smooth manifolds

Why, conceptually, does the torus normalizer in $G_2$ split?

Reference for the proof that Möbius transformations extend to isometries of hyperbolic 3-space

Example of non homogenous manifold with a finitely generated algebra of natural functions

Non-isomorphic compact Kähler manifolds that are biholomorphic, symplectomorphic and isometric

Analysis of solutions to a nonlinear ODE

Locally Riemannian Connection

$2 \times 2$ matrix question