Robert Bryant's user avatar
Robert Bryant's user avatar
Robert Bryant's user avatar
Robert Bryant
  • Member for 13 years
  • Last seen this week
162 votes
Accepted

Is it possible to express $\int\sqrt{x+\sqrt{x+\sqrt{x+1}}}dx$ in elementary functions?

107 votes

Is it possible to express $\int\sqrt{x+\sqrt{x+\sqrt{x+1}}}dx$ in elementary functions?

81 votes
Accepted

When can a connection Induce a Riemannian metric for which it is the Levi-Civita connection?

79 votes

Beautiful descriptions of exceptional groups

63 votes
Accepted

"The complex version of Nash's theorem is not true"

61 votes

Theorem of Bryant in higher dimensions

53 votes

Does the curvature determine the metric?

53 votes
Accepted

When is a singular point of a variety ($\mathcal{C}^\infty$-) smooth?

49 votes

What is the Levi-Civita connection trying to describe?

48 votes
Accepted

Finding a 1-form adapted to a smooth flow

48 votes
Accepted

Hsiung on the Complex Structure of $S^6$

45 votes
Accepted

Are there some other notions of "curvature" which measure how space curves?

45 votes

Riemann's formula for the metric in a normal neighborhood

43 votes
Accepted

Does the Pfaffian have a geometric meaning?

41 votes
Accepted

Vector bundles vs principal $G$-bundles

41 votes
Accepted

Is $O_n({\bf Q})$ dense in $O_n({\bf R})$?

40 votes
Accepted

Isometry group of a homogeneous space

40 votes

deRham cohomology of $S^n$ without Mayer-Vietoris

38 votes

Is SO(4) a subgroup of SU(3)?

37 votes
Accepted

Surfaces filled densely by a geodesic

37 votes
Accepted

decompositions for exceptional Lie algebras $E_6$, $E_7$ and $E_8$

36 votes
Accepted

Interesting integral

35 votes
Accepted

A result on Lie group actions on 15-dimensional spheres?

34 votes
Accepted

Why there is a relation among the second-order minors of a symmetric $4\times 4$ matrix?

34 votes
Accepted

Is there an integrable complex structure on $\mathrm{SU}(3)$?

34 votes

Riemannian surfaces with an explicit distance function?

32 votes
Accepted

On the generalized Gauss-Bonnet theorem

31 votes
Accepted

Can a manifold have a curvature-free connection that is not torsion-free?

30 votes
Accepted

Matrix equation $XAXBXC=I$

30 votes

Is there a general solution for the differential equation $f''(x) = f(f(x))$?

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