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THE BACKWARD BEHAVIOR OF THE RICCI AND CROSS CURVATURE FLOWS ON SL(2,R)
THE RICCI CROSS CURVATURE FLOWS
2015/8/25
This paper is concerned with properties of maximal solutions of the
Ricci and cross curvature flows on locally homogeneous three-manifolds of type
SL2(R). We prove that, generically, a maximal solut...
THE BACKWARD BEHAVIOR OF THE RICCI AND CROSS CURVATURE FLOWS ON SL(2, R)
BACKWARD BEHAVIOR CROSS CURVATURE FLOWS
2015/8/17
This paper is concerned with properties of maximal solutions of the
Ricci and cross curvature flows on locally homogeneous three-manifolds of type
SL2(R). We prove that, generically, a maximal...
Mean curvature flows and isotopy problems
Mean curvature flows isotopy problems Differential Geometry
2012/4/23
In this note, we discuss the mean curvature flow of graphs of maps between Riemannian manifolds. Special emphasis will be placed on estimates of the flow as a non-linear parabolic system of differenti...
Fourth order curvature flows and geometric applications
Fourth order curvature flows geometric applications
2011/1/17
We study a class of fourth order curvature flows on a compact Riemannian manifold, which
includes the gradient flows of a number of quadratic geometric functionals, as for instance the
L2 norm of th...
On the singular set of mean curvature flows with Neumann free boundary conditions
singular set of mean curvature flows Neumann free boundary conditions
2011/1/17
We consider n-dimensional hypersurfaces flowing by mean curvature flow with Neumann free
boundary conditions supported on a smooth support surface. We show that the Hausdorff n-measure of the singula...
Harnack estimates for curvature flows depending on mean curvature
Harnack estimates curvature flows mean curvature
2018/4/20
We prove the Harnack estimates of curvature flows of hypersurfaces in Rn+1, where the normal velocity is given by a smooth function f depending only on the mean curvature.By use of the estimates, we g...