scholarly journals General curvature estimates for stable H-surfaces in 3-manifolds applications

2010 ◽  
Vol 84 (3) ◽  
pp. 623-648 ◽  
Author(s):  
Harold Rosenberg ◽  
Rabah Souam ◽  
Eric Toubiana
Keyword(s):  
Curvature Estimates

scholarly journals On the mean curvature estimates for bounded submanifolds

1992 ◽  
Vol 114 (4) ◽  
pp. 1173-1173 ◽  
Author(s):  
Leslie Coghlan ◽  
Yoe Itokawa ◽  
Roman Kosecki
Keyword(s):  
Mean Curvature ◽  
Curvature Estimates ◽  
The Mean

scholarly journals Some curvature estimates of Kähler-Ricci flow

2019 ◽  
Vol 147 (6) ◽  
pp. 2641-2654
Author(s):  
Man-Chun Lee ◽  
Luen-Fai Tam
Keyword(s):  
Ricci Flow ◽  
Curvature Estimates

scholarly journals Optimal Curvature Estimates for Homogeneous Ricci Flows

2017 ◽  
Vol 2019 (14) ◽  
pp. 4431-4468 ◽  
Author(s):  
Christoph Böhm ◽  
Ramiro Lafuente ◽  
Miles Simon
Keyword(s):  
Homogeneous Space ◽  
Homogeneous Spaces ◽  
Convergence Result ◽  
Einstein Metric ◽  
Type I ◽  
Extinction Time ◽  
Ricci Flows ◽  
Gap Theorem ◽  
Ancient Solutions ◽  
Curvature Estimates

AbstractWe prove uniform curvature estimates for homogeneous Ricci flows: For a solution defined on $[0,t]$ the norm of the curvature tensor at time $t$ is bounded by the maximum of $C(n)/t$ and $C(n)({\mathrm{scal}}(g(t)) - {\mathrm{scal}}(g(0)) )$. This is used to show that solutions with finite extinction time are Type I, immortal solutions are Type III and ancient solutions are Type I, with constants depending only on the dimension $n$. A further consequence is that a non-collapsed homogeneous ancient solution on a compact homogeneous space emerges from a unique Einstein metric on that space. The above curvature estimates follow from a gap theorem for Ricci-flatness on homogeneous spaces. This theorem is proved by contradiction, using a local $W^{2,p}$ convergence result which holds without symmetry assumptions.

Statistics of surface curvature estimates

1995 ◽  
Vol 28 (8) ◽  
pp. 1201-1221 ◽  
Author(s):  
A. Hilton ◽  
J. Illingworth ◽  
T. Windeatt
Keyword(s):  
Surface Curvature ◽  
Curvature Estimates
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