User Otis Chodosh

21 votes

Geometric picture of scalar curvature

answered Jan 28, 2013 at 0:06

20 votes

Accepted

A measure on the space of probability measures

answered Apr 21, 2015 at 19:10

16 votes

Intuition for mean curvature

answered Dec 29, 2012 at 5:20

15 votes

Accepted

A long-lasting conjecture of Pólya & Szegő

answered Apr 10, 2016 at 15:32

14 votes

Dimension of eigenspaces of Laplacian on a compact Riemannian manifold

answered Jun 21, 2013 at 17:02

13 votes

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

answered Nov 29, 2013 at 17:55

11 votes

Ricci flow and isometry group

answered Oct 29, 2015 at 11:03

10 votes

Compact surface with arbitrarily large eigenvalue

answered Nov 17, 2015 at 9:03

10 votes

Accepted

co-dimension one minimizing verifolds

answered Sep 21, 2014 at 16:45

10 votes

Accepted

Morse index in PDEs

answered Aug 16, 2022 at 15:11

9 votes

Accepted

Ricci flow negative curvature

answered Jan 5, 2023 at 14:42

9 votes

Accepted

Distance between two geodesics originating from separate but nearby points

answered May 12, 2023 at 13:59

9 votes

Accepted

minimal surfaces in $S^n$

answered Jun 6, 2016 at 15:10

8 votes

Accepted

A general theory for local moduli space of minimal surface?

answered Jun 6, 2014 at 17:47

8 votes

Accepted

Hausdorff measure on the sphere is well defined?

answered Jun 20, 2013 at 0:47

8 votes

A simple and good reference about solitons

answered May 3, 2013 at 1:39

8 votes

Accepted

the left hand side of the Ricci flow equation at the initial value

answered May 8, 2012 at 19:16

7 votes

fixed point arguments in PDE

answered Nov 24, 2012 at 16:44

7 votes

Can anyone give an example of Ricci flat Riemannian or Lorentzian Manifold that is not flat?

answered Apr 7, 2014 at 15:33

6 votes

Accepted

A Scalar Curvature Computation in Brendle Marques Neves' Min-Oo Conjecture paper

answered Apr 23, 2014 at 16:25

6 votes

metric has morse index 2

answered May 5, 2014 at 13:56

6 votes

Accepted

How does the inverse mean curvature flow start with minimal surface?

answered Mar 23, 2014 at 17:39

6 votes

Accepted

Singularities in minimal surfaces

answered Apr 23, 2015 at 18:45

6 votes

Variation of curvature with respect to immersion?

answered Oct 7, 2014 at 4:48

6 votes

Accepted

Main utility of the monotonicity formula for generalized surfaces

answered Jul 20, 2021 at 2:14

6 votes

Ricci flow descending from an universal cover

answered Nov 23, 2012 at 5:29

6 votes

Accepted

The negative gradient flow of a Morse-Bott function on a compact manifold converges to a critical point?

answered Aug 23, 2022 at 14:07

6 votes

Accepted

What is the current status on bad tangent cones at isolated singularities?

answered Sep 14, 2022 at 15:37

6 votes

Accepted

Given an eigenvalue equation (elliptic PDE) in a ball $B_R$, prove the convergence of the first nonzero $\lambda_R$ and its eigenfunction $\phi_R$

answered Sep 1, 2023 at 15:51

5 votes

Accepted

Taylor expansion of the square of the distance function on a Riemannian manifold

answered May 25, 2021 at 16:19

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89 Answers

Geometric picture of scalar curvature

A measure on the space of probability measures

Intuition for mean curvature

A long-lasting conjecture of Pólya & Szegő

Dimension of eigenspaces of Laplacian on a compact Riemannian manifold

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

Ricci flow and isometry group

Compact surface with arbitrarily large eigenvalue

co-dimension one minimizing verifolds

Morse index in PDEs

Ricci flow negative curvature

Distance between two geodesics originating from separate but nearby points

minimal surfaces in $S^n$

A general theory for local moduli space of minimal surface?

Hausdorff measure on the sphere is well defined?

A simple and good reference about solitons

the left hand side of the Ricci flow equation at the initial value

fixed point arguments in PDE

Can anyone give an example of Ricci flat Riemannian or Lorentzian Manifold that is not flat?

A Scalar Curvature Computation in Brendle Marques Neves' Min-Oo Conjecture paper

metric has morse index 2

How does the inverse mean curvature flow start with minimal surface?

Singularities in minimal surfaces

Variation of curvature with respect to immersion?

Main utility of the monotonicity formula for generalized surfaces

Ricci flow descending from an universal cover

The negative gradient flow of a Morse-Bott function on a compact manifold converges to a critical point?

What is the current status on bad tangent cones at isolated singularities?

Given an eigenvalue equation (elliptic PDE) in a ball $B_R$, prove the convergence of the first nonzero $\lambda_R$ and its eigenfunction $\phi_R$

Taylor expansion of the square of the distance function on a Riemannian manifold