User Robert Bryant

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The Lefschetz operator

answered Nov 29, 2018 at 23:25

29 votes

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How should you explain parallel transport to undergraduates?

answered Mar 26, 2021 at 19:43

29 votes

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Is it possible to realize the Moebius strip as a linear group orbit?

answered Jan 22, 2022 at 11:56

29 votes

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Pseudo-holomorphic curves in the six-sphere

answered Sep 24, 2015 at 20:05

29 votes

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Torsion and parallel transport

answered Jun 12, 2013 at 23:45

28 votes

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A concrete realization of the nontrivial 2-sphere bundle over the 5-sphere?

answered Aug 21, 2013 at 9:17

28 votes

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When is curvature given by a connection?

answered Oct 16, 2015 at 17:28

28 votes

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Does $(\nabla \times F) \cdot F= (\nabla \times F) \cdot \nabla f$ have a solution?

answered Nov 30, 2016 at 11:31

28 votes

Is the linear span of special orthogonal matrices equal to the whole space of $N\times N$ matrices?

answered Sep 11, 2018 at 9:42

28 votes

Do minimal submanifolds minimize area locally?

answered Jul 23, 2017 at 9:26

27 votes

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Why is the automorphism group of the octonions $G_2$ instead of $SO(7)$

answered Mar 18, 2021 at 18:02

27 votes

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Alternate and symmetric matrices

answered Jan 8, 2012 at 0:14

26 votes

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Complex manifolds in which the exponential map is holomorphic

answered Jun 24, 2011 at 21:13

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Algebraic surface of constant width?

answered Oct 29, 2015 at 18:24

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Square root of doubly positive symmetric matrices

answered Oct 18, 2020 at 10:01

25 votes

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Approximation of smooth diffeomorphisms by polynomial diffeomorphisms?

answered Jun 25, 2020 at 11:52

25 votes

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Manifolds with polynomial transition maps

answered Jul 17, 2017 at 12:32

25 votes

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Is the "equidistant curve" to an algebraic curve algebraic?

answered May 30, 2022 at 13:11

25 votes

irreducibility of discriminant

answered Oct 25, 2015 at 10:32

25 votes

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What is the homomorphism between the third exterior and third symmetric power of the adjoint representation of a simple Lie algebra?

answered Aug 6, 2015 at 11:11

25 votes

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When is a given matrix of two forms a curvature form?

answered Aug 23, 2011 at 0:08

25 votes

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``Nice'' metrics for a Morse gradient field: counterexample request

answered Oct 2, 2011 at 14:14

25 votes

Left invariant metric on ${\rm SL}_n(\mathbb{R})$

answered Oct 17, 2012 at 21:18

24 votes

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What is the analog of the "Fundamental Theorem of Space Curves," for surfaces, and beyond?

answered Jan 26, 2014 at 12:39

24 votes

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Proofs that the conformal group in dimension $\ge 3$ is a Lie group

answered Jan 21, 2018 at 13:16

23 votes

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Existence of double eigenvalue

answered Jan 1, 2018 at 17:29

23 votes

Which edition of Philosophiae Naturalis Principia Mathematica of Isaac Newton would you recommend to me?

answered Mar 28, 2018 at 18:52

23 votes

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Eigenfunctions of the laplacian on $\mathbb{CP}^n$

answered Apr 7, 2020 at 10:30

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Example of ODE not equivalent to Euler-Lagrange equation

answered Dec 29, 2020 at 10:22

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What is the "complex third derivative"?

answered Apr 14, 2014 at 23:37

Stack Exchange Network

998 Answers

The Lefschetz operator

How should you explain parallel transport to undergraduates?

Is it possible to realize the Moebius strip as a linear group orbit?

Pseudo-holomorphic curves in the six-sphere

Torsion and parallel transport

A concrete realization of the nontrivial 2-sphere bundle over the 5-sphere?

When is curvature given by a connection?

Does $(\nabla \times F) \cdot F= (\nabla \times F) \cdot \nabla f$ have a solution?

Is the linear span of special orthogonal matrices equal to the whole space of $N\times N$ matrices?

Do minimal submanifolds minimize area locally?

Why is the automorphism group of the octonions $G_2$ instead of $SO(7)$

Alternate and symmetric matrices

Complex manifolds in which the exponential map is holomorphic

Algebraic surface of constant width?

Square root of doubly positive symmetric matrices

Approximation of smooth diffeomorphisms by polynomial diffeomorphisms?

Manifolds with polynomial transition maps

Is the "equidistant curve" to an algebraic curve algebraic?

irreducibility of discriminant

What is the homomorphism between the third exterior and third symmetric power of the adjoint representation of a simple Lie algebra?

When is a given matrix of two forms a curvature form?

``Nice'' metrics for a Morse gradient field: counterexample request

Left invariant metric on ${\rm SL}_n(\mathbb{R})$

What is the analog of the "Fundamental Theorem of Space Curves," for surfaces, and beyond?

Proofs that the conformal group in dimension $\ge 3$ is a Lie group

Existence of double eigenvalue

Which edition of Philosophiae Naturalis Principia Mathematica of Isaac Newton would you recommend to me?

Eigenfunctions of the laplacian on $\mathbb{CP}^n$

Example of ODE not equivalent to Euler-Lagrange equation

What is the "complex third derivative"?