3 papers
math.DG2017
Volume preserving flow by powers of symmetric polynomials in the principal curvatures
Maria Chiara Bertini, Carlo Sinestrari
We study a volume preserving curvature flow of convex hypersurfaces, driven by a power of the -th elementary symmetric polynomial in the principal curvatures. Unlike most of the…
math.DG2017
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…
math.DG2016
Volume preserving non homogeneous mean curvature flow of convex hypersurfaces
Maria Chiara Bertini, Carlo Sinestrari
We consider a convex Euclidean hypersurface that evolves by a volume or area preserving flow with speed given by a general nonhomogeneous function of the mean curvature. For a broa…