5 citations · 10 across the 14 of their papers we have counts for
17 papers
Isoparametric Hypersurfaces in Products of Simply Connected Space Forms
Ronaldo F. de Lima, Giuseppe Pipoli
For let denote the simply connected space form of dimension and constant sectional curvature , $(ε_1,ε_2)\ne (0,…
On the geometry of the asymptotic boundary of translators in
Giuseppe Pipoli, Joao Paulo dos Santos, Giuseppe Tinaglia
In this work, we study complete properly immersed translators in the product space , focusing on their asymptotic behavior at infinity. We classify the…
-harmonic forms and spinors on stable minimal hypersurfaces
Francesco Bei, Giuseppe Pipoli
Let be an oriented (or spin), complete, stable, minimal, immersed hypersurface. In this paper we establish various vanishing theorems for the space of -…
Special Weingarten surfaces with planar convex boundary
Barbara Nelli, Giuseppe Pipoli, Marcos Paulo Tassi
We prove a Ros-Rosenberg theorem in the setting of Special Weingarten surfaces. We show that a compact, connected, embedded, Special Weingarten surface in $\mathhb{R}^3$ with plana…
On constant higher order mean curvature hypersurfaces in
Barbara Nelli, Giuseppe Pipoli, Giovanni Russo
We classify hypersurfaces with rotational symmetry and positive constant -th mean curvature in . Specific constant higher order mean curvature hype…
Translators to Higher Order Mean Curvature Flows in and
Ronaldo F. de Lima, Giuseppe Pipoli
We consider translators to the extrinsic flows in and (called -mean curvature flows or -MCF, for short) whose veloci…
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…
Inverse mean curvature flow in quaternionic hyperbolic space
Giuseppe Pipoli
In this paper we complete the study started in [Pi2] of evolution by inverse mean curvature flow of star-shaped hypersurface in non-compact rank one symmetric spaces. We consider t…
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…
Inverse mean curvature flow in complex hyperbolic space
Giuseppe Pipoli
We consider the evolution by inverse mean curvature flow of a closed, mean convex and star-shaped hypersurface in the complex hyperbolic space. We prove that the flow is defined fo…
Cylindrical estimates for mean curvature flow of hypersurfaces in CROSSes
Giuseppe Pipoli, Carlo Sinestrari
We consider the mean curvature flow of a closed hypersurface in the complex or quaternionic projective space. Under a suitable pinching assumption on the initial data, we prove apr…
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…
Mean curvature flow of pinched submanifolds of
Giuseppe Pipoli, Carlo Sinestrari
We consider the evolution by mean curvature flow of a closed submanifold of the complex projective space. We show that, if the submanifold has small codimension and satisfies a sui…
Lagrangian mean curvature flow of pinched submanifolds of CP^n
Giuseppe Pipoli, Carlo Sinestrari
We consider the evolution by mean curvature flow of Lagrangian submanifolds of the complex projective space CP^n. We prove that, if the initial value satisfies a suitable pinching…