User Vladimir S Matveev

23 votes

Manifolds admitting flat connections

answered Oct 11, 2014 at 14:27

21 votes

Accepted

Does list of distances define points uniquely?

answered Jul 14, 2012 at 13:04

18 votes

Is there a global obstruction for a diffeomorphism to be an isometry?

answered Apr 19, 2015 at 17:44

15 votes

Accepted

Is there a way to define a Lie derivative of a connection?

answered Mar 20, 2015 at 12:46

15 votes

Accepted

Alternative Almost Complex Structures

answered Mar 26, 2013 at 8:21

12 votes

Does positively curved sphere admit an isometric embedding as hypersurface in Euclidean space?

answered Oct 4, 2013 at 11:50

11 votes

Can one recover a metric from geodesics?

answered Dec 27, 2013 at 17:27

11 votes

Accepted

Perimeter of ellipse: Combination of two geometries

answered Mar 17, 2015 at 11:50

10 votes

Accepted

Riemannian metrics preserved by diffeomorphisms

answered Aug 23, 2015 at 19:05

10 votes

Accepted

Smoothing of the distance function on a Riemannian manifold

answered Nov 26, 2013 at 16:46

10 votes

A series of articles should be published all in the same journal, or in different journals?

answered May 17, 2011 at 7:47

10 votes

is $\nabla \cdot ( c^2 \nabla)$ a Laplace-Beltrami operator?

answered May 21, 2011 at 21:30

8 votes

Questions on smoothness of Riemann metrics

answered Apr 20, 2011 at 16:18

8 votes

Do sufficiently regular distances on manifolds come from riemannian metrics?

answered Nov 15, 2012 at 15:53

8 votes

Accepted

Projectively equivalent connections

answered Feb 19, 2013 at 18:07

8 votes

Are compact, complex, affinely flat manifolds geodesically complete?

answered Sep 13, 2015 at 8:05

8 votes

Accepted

What does it mean that the Hessian is proportional to the metric?

answered Jul 31, 2015 at 8:20

8 votes

Vector Fields in a Riemannian Manifold

answered Aug 21, 2015 at 7:50

7 votes

Accepted

Can the exponential map be used to define geodesics (and hence, generalisations of geodesics)?

answered Dec 4, 2022 at 16:00

7 votes

Accepted

Conformal maps between two given domains

answered Jul 24, 2023 at 14:26

6 votes

Which surfaces admit unbounded-length simple geodesics?

answered Nov 12, 2015 at 16:01

6 votes

Accepted

Determining geodesics between two points in curved space

answered Nov 3, 2015 at 14:23

6 votes

How to draw a Zoll surface?

answered Dec 2, 2013 at 15:39

6 votes

family of metrics with same geodsics

answered Dec 27, 2013 at 13:15

6 votes

Accepted

Existence of connections making a bundle endomorphism parallel

answered Sep 1, 2013 at 10:54

5 votes

Accepted

Length spectrum for Riemannian metrics in the projective plane

answered Sep 3, 2013 at 8:52

5 votes

Accepted

Geodesic transformations of the complex projective plane

answered Aug 2, 2013 at 7:43

5 votes

"Famous" 2d Riemannian manifolds with non-constant curvature

answered May 3, 2011 at 10:53

5 votes

The necessary and sufficient condition for $\textbf{global}$ conformal flatness of a n-dim (pseudo-)Riemannian manifold

answered Sep 7, 2014 at 7:05

5 votes

Is the identification between symmetric tensors and homogeneous polynomials useful?

answered Oct 1, 2014 at 6:46

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66 Answers

Manifolds admitting flat connections

Does list of distances define points uniquely?

Is there a global obstruction for a diffeomorphism to be an isometry?

Is there a way to define a Lie derivative of a connection?

Alternative Almost Complex Structures

Does positively curved sphere admit an isometric embedding as hypersurface in Euclidean space?

Can one recover a metric from geodesics?

Perimeter of ellipse: Combination of two geometries

Riemannian metrics preserved by diffeomorphisms

Smoothing of the distance function on a Riemannian manifold

A series of articles should be published all in the same journal, or in different journals?

is $\nabla \cdot ( c^2 \nabla)$ a Laplace-Beltrami operator?

Questions on smoothness of Riemann metrics

Do sufficiently regular distances on manifolds come from riemannian metrics?

Projectively equivalent connections

Are compact, complex, affinely flat manifolds geodesically complete?

What does it mean that the Hessian is proportional to the metric?

Vector Fields in a Riemannian Manifold

Can the exponential map be used to define geodesics (and hence, generalisations of geodesics)?

Conformal maps between two given domains

Which surfaces admit unbounded-length simple geodesics?

Determining geodesics between two points in curved space

How to draw a Zoll surface?

family of metrics with same geodsics

Existence of connections making a bundle endomorphism parallel

Length spectrum for Riemannian metrics in the projective plane

Geodesic transformations of the complex projective plane

"Famous" 2d Riemannian manifolds with non-constant curvature

The necessary and sufficient condition for $\textbf{global}$ conformal flatness of a n-dim (pseudo-)Riemannian manifold

Is the identification between symmetric tensors and homogeneous polynomials useful?