Question

On the $S^n$, whether smooth Riemannian metric $g$ will become constant (sectional) curvature metric under Ricci flow?

score 100 · Answer 1 · 2023-03-12 09:21:04

100

Views

On the $S^n$, whether smooth Riemannian metric $g$ will become constant (sectional) curvature metric under Ricci flow?

Published on 12 Mar 2023 - 9:21

score 101 · Answer 2 · 2023-04-03 09:34:37

101

Views

How to show $\frac{dL}{dr}=\int k ds$ (in An isoperimetric estimate for the Ricci Flow on the Two-Sphere)?

Published on 03 Apr 2023 - 9:34

score 63 · Answer 3 · 2023-04-10 01:38:50

63

Views

Explicit expression for $R^\#$ in Hamilton's paper

Published on 10 Apr 2023 - 1:38

score 48 · Answer 4 · 2023-04-15 12:11:25

48

Views

To show Perelman $\mathcal{F}$ Energy in Ricci flow is invariant under diffeomorphisms

Published on 15 Apr 2023 - 12:11

score 45 · Answer 5 · 2023-04-20 07:29:18

45

Views

Exercise on higher order Bernstein type estimates

Published on 20 Apr 2023 - 7:29

score 51 · Answer 6 · 2023-04-20 16:08:24

51

Views

Bochner's theorem for positive Ricci curvature

Published on 20 Apr 2023 - 16:08

score 385 · Answer 7 · 2023-05-04 09:23:22

385

Views

Ricci Curvature under uniform scaling

Published on 04 May 2023 - 9:23

score 23 · Answer 8 · 2023-05-05 13:40:10

23

Views

Rosenau solutions or Rosenau Metrics in Ricci flow

Published on 05 May 2023 - 13:40

score 47 · Answer 9 · 2023-05-13 22:40:43

47

Views

Why Ricci Flow Always Defines a Riemannian Metric As Long as it Exists

Published on 13 May 2023 - 22:40

score 23 · Answer 10 · 2023-05-18 11:01:19

23

Views

Isoperimetric ratio and the boundary of curvature under curve shortening (shrinking) flow

Published on 18 May 2023 - 11:01

score 49 · Answer 11 · 2023-05-24 09:14:02

49

Views

Has it been proven that the Cheeger constant is attainable on surface?

Published on 24 May 2023 - 9:14

score 30 · Answer 12 · 2023-06-12 12:39:50

Blowing up of Ricci flow on surfaces, the low bound of scalar curvature means the nonnegative of scalar curvature of limit

score 62 · Answer 13 · 2023-07-06 18:54:51

62

Views

Reference request: Lorentzian Ricci flow

Published on 06 Jul 2023 - 18:54

score 77 · Answer 14 · 2023-07-13 01:21:11

77

Views

Help Understanding Perelman's $\mathcal{L}$-geodesic Equation

Published on 13 Jul 2023 - 1:21

score 115 · Answer 15 · 2023-09-28 14:42:10

115

Views

Time derivative of squared distance function under evolving metric

Published on 28 Sep 2023 - 14:42

List Question

On the $S^n$, whether smooth Riemannian metric $g$ will become constant (sectional) curvature metric under Ricci flow?

How to show $\frac{dL}{dr}=\int k ds$ (in An isoperimetric estimate for the Ricci Flow on the Two-Sphere)?

Explicit expression for $R^\#$ in Hamilton's paper

To show Perelman $\mathcal{F}$ Energy in Ricci flow is invariant under diffeomorphisms

Exercise on higher order Bernstein type estimates

Bochner's theorem for positive Ricci curvature

Ricci Curvature under uniform scaling

Rosenau solutions or Rosenau Metrics in Ricci flow

Why Ricci Flow Always Defines a Riemannian Metric As Long as it Exists

Isoperimetric ratio and the boundary of curvature under curve shortening (shrinking) flow

Has it been proven that the Cheeger constant is attainable on surface?

Blowing up of Ricci flow on surfaces, the low bound of scalar curvature means the nonnegative of scalar curvature of limit

Reference request: Lorentzian Ricci flow

Help Understanding Perelman's $\mathcal{L}$-geodesic Equation

Time derivative of squared distance function under evolving metric

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