6 papers
Constant mean curvature hypersurfaces in with small planar boundary
Barbara Nelli, Giuseppe Pipoli
We show that constant mean curvature hypersurfaces in , with small and pinched boundary contained in a horizontal slice are topological disks, provi…
Nonhomogeneous expanding flows in hyperbolic spaces
Giuseppe Pipoli
A recent paper [CGT] studies the evolution of star-shaped mean convex hypersurfaces of the Euclidean space by a class of nonhomogeneous expanding curvature flows. In the present pa…
Invariant translators of the Solvable group
Giuseppe Pipoli
We classify the translators to the mean curvature flow in the three-dimensional solvable group that are invariant under the action of a one-parameter group of isometries of…
Invariant translators of the Heisenberg group
Giuseppe Pipoli
We classify all the translating solitons to the mean curvature flow in the three-dimensional Heisenberg group that are invariant under the action of some one-parameter group of iso…
Volume preserving non homogeneous mean curvature flow in hyperbolic space
Maria Chiara Bertini, Giuseppe Pipoli
We study a volume/area preserving curvature flow of hypersurfaces that are convex by horospheres in the hyperbolic space, with velocity given by a generic positive, increasing func…
Mean curvature flow and Riemannian submersions
Giuseppe Pipoli
We give a sufficient condition ensuring that the mean curvature flow commutes with a Riemannian submersion and we use this result to create new examples of evolution by mean curvat…