Question

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

score 103 · Answer 1 · 2026-04-18 03:39:36

103

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

Published on 18 Apr 2026 - 3:39

score 104 · Answer 2 · 2026-04-15 12:57:13

104

Views

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

Published on 15 Apr 2026 - 12:57

score 66 · Answer 3 · 2026-04-09 22:24:22

66

Views

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

Published on 09 Apr 2026 - 22:24

score 51 · Answer 4 · 2026-04-15 01:02:11

51

Views

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

Published on 15 Apr 2026 - 1:02

score 48 · Answer 5 · 2026-04-12 18:45:14

48

Views

Exercise on higher order Bernstein type estimates

Published on 12 Apr 2026 - 18:45

score 54 · Answer 6 · 2026-04-15 23:29:47

54

Views

Bochner's theorem for positive Ricci curvature

Published on 15 Apr 2026 - 23:29

score 388 · Answer 7 · 2026-04-16 14:53:31

388

Views

Ricci Curvature under uniform scaling

Published on 16 Apr 2026 - 14:53

score 26 · Answer 8 · 2026-04-14 21:16:10

26

Views

Rosenau solutions or Rosenau Metrics in Ricci flow

Published on 14 Apr 2026 - 21:16

score 50 · Answer 9 · 2026-04-15 06:13:22

50

Views

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

Published on 15 Apr 2026 - 6:13

score 25 · Answer 10 · 2026-05-11 02:04:44

25

Views

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

Published on 11 May 2026 - 2:04

score 52 · Answer 11 · 2026-04-11 00:41:28

52

Views

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

Published on 11 Apr 2026 - 0:41

score 33 · Answer 12 · 2026-04-13 23:17:08

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

score 65 · Answer 13 · 2026-04-14 15:40:22

65

Views

Reference request: Lorentzian Ricci flow

Published on 14 Apr 2026 - 15:40

score 80 · Answer 14 · 2026-04-11 15:53:37

80

Views

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

Published on 11 Apr 2026 - 15:53

score 118 · Answer 15 · 2026-04-16 13:12:54

118

Views

Time derivative of squared distance function under evolving metric

Published on 16 Apr 2026 - 13:12

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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