User Matthias Ludewig

23 votes

Why differential forms are important?

answered Jun 17, 2014 at 11:20

16 votes

How to write popular mathematics well?

answered Dec 22, 2011 at 18:52

16 votes

Accepted

Formal adjoint of the covariant derivative

answered Sep 23, 2013 at 5:38

14 votes

How does the work of a pure mathematician impact society?

answered Jul 19, 2013 at 7:45

11 votes

How to prove Liouville measure is invariant under geodesic flow?

answered Dec 9, 2015 at 9:18

10 votes

Accepted

Relationship between Laplacian and Hessian on compact Lie groups

answered Nov 20, 2014 at 23:10

8 votes

What are "good" examples of spin manifolds?

answered Nov 4, 2011 at 19:40

6 votes

Accepted

Making the identification $\tau M\approx TM\oplus (TM\odot TM)$

answered Apr 13, 2015 at 6:54

5 votes

Accepted

Stochastic interpretation of heat kernel on fiber bundle

answered May 4, 2015 at 11:13

5 votes

Accepted

What are all invariant polynomials on the space of algebraic curvature tensors?

answered Jul 25, 2020 at 18:37

5 votes

Is Riemannian integration sufficient in physics?

answered Jun 7, 2013 at 11:03

5 votes

Why are there so many smooth functions?

answered Jan 4, 2012 at 22:14

4 votes

Take contraction wrt a vector field twice and define kernel mod image. Does that give anything interesting?

answered Oct 18, 2014 at 11:47

4 votes

Generalized Hodge Decomposition on Manifolds with Boundary

answered Apr 24, 2019 at 4:17

4 votes

Accepted

heat kernel on closed manifolds - error in Chavel's book?

answered Nov 23, 2016 at 23:11

3 votes

Dual connections for Information Geometry

answered Dec 22, 2014 at 9:34

3 votes

Calculation of the top Chern class of spinor bundle over $S^{2n}$

answered Nov 8, 2023 at 15:34

3 votes

The complex heat kernel on a Riemann manifold

answered Oct 19, 2014 at 21:11

3 votes

de Rahm Laplace operator on forms bounded

answered May 26, 2014 at 13:19

3 votes

Spectrum of Mathieu equation

answered May 26, 2014 at 19:58

3 votes

Approximation with continuous functions

answered Nov 3, 2013 at 3:31

3 votes

When does heat kernel have both Gaussian upper and lower bounds?

answered Nov 5, 2013 at 5:39

3 votes

Accepted

Existence of Geodesics in continuous metrics

answered Jun 14, 2013 at 12:13

3 votes

Accepted

The first eigenvalue of the Schrödinger operator is simple.

answered May 20, 2013 at 12:26

3 votes

Does every vector bundle allow a finite trivialization cover?

answered Aug 6, 2013 at 19:54

2 votes

Difference between spaces of integrable functions w.r.t Lebesgue measure and Borel measure

answered Jan 11, 2012 at 20:31

2 votes

is f a polynomial provided that it is "partially" smooth?

answered Apr 14, 2012 at 18:36

2 votes

Accepted

When do curves exist in infinite-dimensional submanifolds?

answered Jun 19, 2014 at 14:57

2 votes

Accepted

How to evaluate the wiener measure of sets?

answered Jul 13, 2014 at 13:05

2 votes

Can one hear the shape of a drum for operators?

answered Nov 22, 2015 at 23:03

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49 Answers

Why differential forms are important?

How to write popular mathematics well?

Formal adjoint of the covariant derivative

How does the work of a pure mathematician impact society?

How to prove Liouville measure is invariant under geodesic flow?

Relationship between Laplacian and Hessian on compact Lie groups

What are "good" examples of spin manifolds?

Making the identification $\tau M\approx TM\oplus (TM\odot TM)$

Stochastic interpretation of heat kernel on fiber bundle

What are all invariant polynomials on the space of algebraic curvature tensors?

Is Riemannian integration sufficient in physics?

Why are there so many smooth functions?

Take contraction wrt a vector field twice and define kernel mod image. Does that give anything interesting?

Generalized Hodge Decomposition on Manifolds with Boundary

heat kernel on closed manifolds - error in Chavel's book?

Dual connections for Information Geometry

Calculation of the top Chern class of spinor bundle over $S^{2n}$

The complex heat kernel on a Riemann manifold

de Rahm Laplace operator on forms bounded

Spectrum of Mathieu equation

Approximation with continuous functions

When does heat kernel have both Gaussian upper and lower bounds?

Existence of Geodesics in continuous metrics

The first eigenvalue of the Schrödinger operator is simple.

Does every vector bundle allow a finite trivialization cover?

Difference between spaces of integrable functions w.r.t Lebesgue measure and Borel measure

is f a polynomial provided that it is "partially" smooth?

When do curves exist in infinite-dimensional submanifolds?

How to evaluate the wiener measure of sets?

Can one hear the shape of a drum for operators?