Question

Why is it important to stay positive Ricci curvature during Ricci flow?

score 124 · Answer 1 · 2026-05-05 03:45:18

124

Views

Why is it important to stay positive Ricci curvature during Ricci flow?

Published on 05 May 2026 - 3:45

score 125 · Answer 2 · 2026-05-05 03:45:17

125

Views

Norm of the covariant derivative of the Einstein tensor

Published on 05 May 2026 - 3:45

score 120 · Answer 3 · 2026-05-05 03:45:18

120

Views

Argument on Hamilton's first Ricci flow paper

Published on 05 May 2026 - 3:45

score 65 · Answer 4 · 2026-05-05 03:45:16

65

Views

Getting solutions to Ricci-DeTurck flow from solutions to Ricci flow

Published on 05 May 2026 - 3:45

score 80 · Answer 5 · 2026-05-05 03:43:51

80

Views

Null eigenvector assumption: is it always true that for this non positive matrix $A$, there exists $v$ such that $A_{ij} v^{j} = 0$?

Published on 05 May 2026 - 3:43

score 284 · Answer 6 · 2026-05-05 03:45:17

284

Views

If Ricci tensor has a null eigenvector in dimension $3$, then it has at most two nonzero eigenvalues and $|\text{Ric}|^2 \geq \dfrac{R^2}{2}$

Published on 05 May 2026 - 3:45

score 114 · Answer 7 · 2026-05-05 03:45:18

114

Views

relation between volume of the universal cover and fundamental group?

Published on 05 May 2026 - 3:45

score 149 · Answer 8 · 2026-05-05 03:45:16

149

Views

Showing positive Ricci curvature is preserved under the Ricci flow, why is this operator locally Lipschitz?

Published on 05 May 2026 - 3:45

score 54 · Answer 9 · 2026-05-05 03:45:16

54

Views

Mistake in computing the evolution of $\frac{\partial}{\partial t} R_{ik}$ - where did the term $-2g^{jp}g^{lq}R_{pq}R_{ijkl}$ go? Why did it vanish?

Published on 05 May 2026 - 3:45

score 77 · Answer 10 · 2026-05-05 03:45:18

77

Views

Symmetric tensor of two different vector spaces

Published on 05 May 2026 - 3:45

score 269 · Answer 11 · 2026-05-05 03:43:50

269

Views

Perelman's entropy functional computation problem.

Published on 05 May 2026 - 3:43

score 559 · Answer 12 · 2026-05-05 03:45:17

559

Views

Whether there is a Riemannian metric on $S^2\times S^2$ with positive scalar curvature?

Published on 05 May 2026 - 3:45

score 435 · Answer 13 · 2026-05-05 03:45:17

435

Views

Whether Ricci flow keep the diagonal of metric and Ricci tensor?

Published on 05 May 2026 - 3:45

score 59 · Answer 14 · 2026-05-05 03:43:56

59

Views

How does Ricci flow distinguish $S^n$ and other manifolds?

Published on 05 May 2026 - 3:43

score 68 · Answer 15 · 2026-05-05 03:45:17

68

Views

What will happen when $T^3$ evolves under Ricci flow?

Published on 05 May 2026 - 3:45

List Question

Why is it important to stay positive Ricci curvature during Ricci flow?

Norm of the covariant derivative of the Einstein tensor

Argument on Hamilton's first Ricci flow paper

Getting solutions to Ricci-DeTurck flow from solutions to Ricci flow

Null eigenvector assumption: is it always true that for this non positive matrix $A$, there exists $v$ such that $A_{ij} v^{j} = 0$?

If Ricci tensor has a null eigenvector in dimension $3$, then it has at most two nonzero eigenvalues and $|\text{Ric}|^2 \geq \dfrac{R^2}{2}$

relation between volume of the universal cover and fundamental group?

Showing positive Ricci curvature is preserved under the Ricci flow, why is this operator locally Lipschitz?

Mistake in computing the evolution of $\frac{\partial}{\partial t} R_{ik}$ - where did the term $-2g^{jp}g^{lq}R_{pq}R_{ijkl}$ go? Why did it vanish?

Symmetric tensor of two different vector spaces

Perelman's entropy functional computation problem.

Whether there is a Riemannian metric on $S^2\times S^2$ with positive scalar curvature?

Whether Ricci flow keep the diagonal of metric and Ricci tensor?

How does Ricci flow distinguish $S^n$ and other manifolds?

What will happen when $T^3$ evolves under Ricci flow?

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