Robert Bryant

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Name	Robert Bryant
Member for	2 years
Seen	39 mins ago
Website	math.berkeley.edu/people/faculty/robert-bryant
Location	Berkeley, CA
Age	59

I'm a differential geometer by training, and most of my work has been on the applications of differential geometric ideas to the study of systems of PDE. I've also done some work in algebraic geometry, symplectic geometry, complex analysis, and Lie groups, among other things.

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73

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What is torsion in differential geometry intuitively?

dg.differential-geometry intuition torsion

dec 16 at 6:48 Peter Michor 5,577●11●18

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34

votes

1

answer

2k

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Circles and rational functions

cv.complex-variables

dec 11 at 9:43 Peter Mueller 3,780●1●9●18

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16

votes

4

answers

731

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diagonalizability of the curvature operator

dg.differential-geometry gt.geometric-topology

nov 29 at 13:10 Robert Bryant 21.8k●3●75●97

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16

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8

answers

1k

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Determining a surface in $\mathbb{R}^3$ by its Gaussian curvature

dg.differential-geometry mg.metric-geometry riemannian-geometry reference-request

oct 28 11 at 21:48 AO 673●1●7●9

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14

votes

4

answers

907

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Why is it important that partial derivatives commute?

dg.differential-geometry connections riemannian-geometry torsion

feb 25 at 9:45 Liviu Nicolaescu 11.4k●1●20●33

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11

votes

1

answer

933

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Alternate and symmetric matrices

matrices symplectic-group classical-groups

jan 24 12 at 16:25 Robert Bryant 21.8k●3●75●97

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11

votes

2

answers

250

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Effective vanishing of the Schwarzian Derivative

ca.analysis-and-odes cv.complex-variables

dec 29 at 23:57 Robert Bryant 21.8k●3●75●97

3

10

votes

1

answer

246

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Most degenerate Weyl tensors in Riemannian and Lorentzian signature

rt.representation-theory dg.differential-geometry

aug 31 at 14:42 Robert Bryant 21.8k●3●75●97

5

10

votes

0

answers

360

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Are the only local minima of $\angle(v, Av)$ the eigenvectors?

linear-algebra ca.analysis-and-odes dg.differential-geometry

nov 13 at 18:24 Mark Meckes 5,982●8●31

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9

votes

1

answer

345

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Surfaces in a 3-manifold with the same Gaussian curvature with respect to two ambient conformal metrics

dg.differential-geometry conformal-geometry gaussian curvature

oct 7 at 22:41 Robert Bryant 21.8k●3●75●97

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8

votes

4

answers

581

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Convex curves with many inscribed triangles maximizing perimeter

calculus-of-variations plane-geometry

dec 6 at 15:50 Yoav Kallus 1,466●7●14

4

8

votes

2

answers

288

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Is there a parameterization of a neighbourhood of $x\in\mathbb{R}^n$ into two mutually orthogonal sets of variables, with one set parameterizing a pre-defined (n-k)-dimensional submanifold containing $x$?

dg.differential-geometry mg.metric-geometry

jan 25 at 14:13 Robert Bryant 21.8k●3●75●97

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8

votes

2

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486

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PDE with the Jacobian Determinant

ap.analysis-of-pdes ap.analysis-of-pdes dg.differential-geometry

2d ago Tarek 11●1

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8

votes

3

answers

325

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twisted Poisson structures, degenerate metrics and integrability properties of (2,0)-tensors

dg.differential-geometry riemannian-geometry poisson-geometry foliations tangent-distributions

dec 30 at 15:45 Robert Bryant 21.8k●3●75●97

3

7

votes

4

answers

674

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Existence of triply orthogonal coordinates

dg.differential-geometry

jul 22 at 19:08 Robert Bryant 21.8k●3●75●97