Total bending of flows with mean curvature correction
نویسندگان
چکیده
منابع مشابه
Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials
This article studies the mean curvature flow of Lagrangian submanifolds. In particular, we prove the following global existence and convergence theorem: if the potential function of a Lagrangian graph in T 2n is convex, then the flow exists for all time and converges smoothly to a flat Lagrangian submanifold.
متن کاملContour Parametrization via Anisotropic Mean Curvature Flows
We present a new implementation of anisotropic mean curvature flow for contour recognition. Our procedure couples the mean curvature flow of planar closed smooth curves, with an external field from a potential of point-wise charges. This coupling constrains the motion when the curve matches a picture placed as background. We include a stability criteria for our numerical approximation.
متن کاملNeckpinch Singularities in Fractional Mean Curvature Flows
In this paper we consider the evolution of sets by a fractional mean curvature flow. Our main result states that for any dimension n > 2, there exists an embedded surface in R evolving by fractional mean curvature flow, which developes a singularity before it can shrink to a point. When n > 3 this result generalizes the analogue result of Grayson [18] for the classical mean curvature flow. Inte...
متن کاملMean curvature flows and isotopy problems
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 differential equations. Several global existence theorems and applications to isotopy problems in geometry and topology will be presented. The results are based on joint works of the author with his collabor...
متن کاملGeneralized inverse mean curvature flows in spacetime
Motivated by the conjectured Penrose inequality and by the work of Hawking, Geroch, Huisken and Ilmanen in the null and the Riemannian case, we examine necessary conditions on flows of two-surfaces in spacetime under which the Hawking quasilocal mass is monotone. We focus on a subclass of such flows which we call uniformly expanding, which can be considered for null as well as for spacelike dir...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2000
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(00)00007-3