3 papers
math.DG2009
Mean curvature flow of graphs in warped products
Alexander A. Borisenko, Vicente Miquel
Let be a complete Riemannian manifold which either is compact or has a pole, and let be a positive smooth function on . In the warped product , we st…
math.DG2007
Volume-preserving mean curvature flow of revolution hypersurfaces in a Rotationally Symmetric Space
Esther Cabezas-Rivas, Vicente Miquel
In an ambient space with rotational symmetry around an axis (which include the Hyperbolic and Euclidean spaces), we study the evolution under the volume-preserving mean curvature f…
math.DG2006
Volume preserving mean curvature flow in the Hyperbolic space
Esther Cabezas-Rivas, Vicente Miquel
We prove: "If is a compact hypersurface of the hyperbolic space, convex by horospheres and evolving by the volume preserving mean curvature flow, then it flows for all time, co…