User Renato G. Bettiol

10 votes

Banach Manifold

answered Feb 7, 2013 at 21:05

19 votes

Accepted

Geometric picture of scalar curvature

answered Jan 27, 2013 at 22:57

5 votes

volume of exceptional group orbits

answered Nov 24, 2012 at 17:10

9 votes

Accepted

Examples of manifolds with effective circle actions?

answered Sep 4, 2012 at 19:13

13 votes

Positive sectional curvature does not imply positive definite curvature operator?

answered Mar 17, 2017 at 22:23

10 votes

Prescribing the Lie derivative of the metric?

answered Apr 18, 2013 at 20:06

7 votes

Geodesic sphere in the octonion projective plane

answered Dec 12, 2019 at 15:27

4 votes

Accepted

Homogeneous Riemann Surfaces

answered Feb 25, 2019 at 3:50

3 votes

Bieberbach theorem for compact, flat Riemannian orbifolds

answered Feb 25, 2019 at 3:36

1 vote

Generalization of Bieberbach's second theorem

answered Nov 13, 2018 at 15:01

6 votes

Riemannian metric on the sphere with at least one negative sectional curvature at every point

answered Jun 29, 2018 at 3:24

3 votes

Where can I find a full proof of the Chern-Gauss-Bonnet theorem ?

answered Mar 21, 2012 at 0:57

18 votes

The first eigenvalue of the laplacian for complex projective space

answered Jan 13, 2012 at 18:05

5 votes

Curvature blow up along Ricci flow

answered Mar 1, 2017 at 5:02

5 votes

Conformally flat manifold with zero scalar

answered Jan 18, 2016 at 5:25

7 votes

On the positive isotropic curvature in higher dimensions

answered Jan 5, 2016 at 23:34

0 votes

3-sphere bundles over 4-sphere bound smooth disc bundles

answered Dec 8, 2015 at 3:50

6 votes

Lower bound on the first eigenvalue of the Laplace-Beltrami on a closed Riemannian manifold

answered May 28, 2015 at 20:41

6 votes

Equations satisfied by the Riemann curvature tensor

answered Apr 11, 2015 at 17:37

5 votes

Canonical Metric on Grassmann Manifold

answered Aug 30, 2014 at 3:50

3 votes

Is the group of isometries of a homogeneous Riemannian manifold maximal?

answered Jun 26, 2014 at 22:35

19 votes

Accepted

Avoiding integers in the spectrum of the Laplacian of a Riemann surface

answered Jun 7, 2014 at 17:04

3 votes

Accepted

Difference between $S^2$-bundles over $S^2$ and $CP^2\sharp CP^2$

answered May 5, 2012 at 16:08

6 votes

Monograph or rich survey on infinite-dimensional Riemann manifolds

answered Feb 5, 2014 at 23:33

5 votes

4-dim compact positively curved manifolds with a nontrivial Killing vector field.

answered Nov 15, 2013 at 2:45

12 votes

Constant scalar curvature metrics in a conformal class

answered Jun 23, 2012 at 0:36

4 votes

Positive scalar curvature Yamabe metrics near a zero scalar curvature Yamabe metric

answered Sep 1, 2013 at 23:35

5 votes

Accepted

Regularity of metric of the double of a Riemannian manifold

answered Aug 25, 2013 at 21:32

1 vote

A version of Lusternik–Schnirelmann category for good open covers

answered Aug 14, 2013 at 2:36

2 votes

examples where some point of the Gromov-Hausdorff limit space has non-unique tangent cones

answered Jun 28, 2013 at 20:22

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50 Answers

Banach Manifold

Geometric picture of scalar curvature

volume of exceptional group orbits

Examples of manifolds with effective circle actions?

Positive sectional curvature does not imply positive definite curvature operator?

Prescribing the Lie derivative of the metric?

Geodesic sphere in the octonion projective plane

Homogeneous Riemann Surfaces

Bieberbach theorem for compact, flat Riemannian orbifolds

Generalization of Bieberbach's second theorem

Riemannian metric on the sphere with at least one negative sectional curvature at every point

Where can I find a full proof of the Chern-Gauss-Bonnet theorem ?

The first eigenvalue of the laplacian for complex projective space

Curvature blow up along Ricci flow

Conformally flat manifold with zero scalar

On the positive isotropic curvature in higher dimensions

3-sphere bundles over 4-sphere bound smooth disc bundles

Lower bound on the first eigenvalue of the Laplace-Beltrami on a closed Riemannian manifold

Equations satisfied by the Riemann curvature tensor

Canonical Metric on Grassmann Manifold

Is the group of isometries of a homogeneous Riemannian manifold maximal?

Avoiding integers in the spectrum of the Laplacian of a Riemann surface

Difference between $S^2$-bundles over $S^2$ and $CP^2\sharp CP^2$

Monograph or rich survey on infinite-dimensional Riemann manifolds

4-dim compact positively curved manifolds with a nontrivial Killing vector field.

Constant scalar curvature metrics in a conformal class

Positive scalar curvature Yamabe metrics near a zero scalar curvature Yamabe metric

Regularity of metric of the double of a Riemannian manifold

A version of Lusternik–Schnirelmann category for good open covers

examples where some point of the Gromov-Hausdorff limit space has non-unique tangent cones