User Robert Bryant

162 votes

Accepted

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

answered Jun 15, 2014 at 4:14

108 votes

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

answered Jun 17, 2014 at 18:24

82 votes

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

answered Apr 17, 2011 at 15:21

81 votes

Beautiful descriptions of exceptional groups

answered Jun 16, 2012 at 15:54

63 votes

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

answered Mar 31, 2011 at 17:08

61 votes

Theorem of Bryant in higher dimensions

answered Nov 20, 2011 at 19:23

54 votes

Does the curvature determine the metric?

answered Jun 22, 2012 at 16:07

53 votes

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

answered May 30, 2012 at 17:46

50 votes

What is the Levi-Civita connection trying to describe?

answered Nov 15, 2020 at 13:52

48 votes

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Finding a 1-form adapted to a smooth flow

answered Jul 4, 2017 at 21:34

48 votes

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Hsiung on the Complex Structure of $S^6$

answered Jul 12, 2012 at 0:51

45 votes

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Vector bundles vs principal $G$-bundles

answered Apr 1, 2012 at 15:05

45 votes

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

answered Dec 2, 2013 at 12:40

45 votes

Riemann's formula for the metric in a normal neighborhood

answered Oct 27, 2014 at 23:11

43 votes

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Does the Pfaffian have a geometric meaning?

answered Sep 22, 2014 at 12:34

41 votes

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

answered Jan 16, 2021 at 11:16

40 votes

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

answered Apr 29, 2013 at 21:45

40 votes

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Isometry group of a homogeneous space

answered Sep 19, 2011 at 20:58

38 votes

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

answered Nov 16, 2021 at 18:25

37 votes

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Surfaces filled densely by a geodesic

answered Apr 14, 2013 at 13:39

37 votes

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

answered Jan 17, 2013 at 22:56

36 votes

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Interesting integral

answered Feb 19, 2015 at 16:35

35 votes

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

answered Aug 25, 2020 at 10:10

34 votes

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

answered Jun 13, 2015 at 15:11

34 votes

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

answered Oct 6, 2015 at 21:48

34 votes

Riemannian surfaces with an explicit distance function?

answered Apr 15, 2011 at 17:48

34 votes

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On the generalized Gauss-Bonnet theorem

answered Jan 5, 2012 at 13:35

32 votes

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

answered Nov 21, 2013 at 4:02

30 votes

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Matrix equation $XAXBXC=I$

answered Aug 23, 2015 at 12:15

30 votes

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

answered Feb 17, 2021 at 21:45

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998 Answers

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

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

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

Beautiful descriptions of exceptional groups

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

Theorem of Bryant in higher dimensions

Does the curvature determine the metric?

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

What is the Levi-Civita connection trying to describe?

Finding a 1-form adapted to a smooth flow

Hsiung on the Complex Structure of $S^6$

Vector bundles vs principal $G$-bundles

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

Riemann's formula for the metric in a normal neighborhood

Does the Pfaffian have a geometric meaning?

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

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

Isometry group of a homogeneous space

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

Surfaces filled densely by a geodesic

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

Interesting integral

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

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

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

Riemannian surfaces with an explicit distance function?

On the generalized Gauss-Bonnet theorem

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

Matrix equation $XAXBXC=I$

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