Mean curvature flows and isotopy problems

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Mean 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 کامل

Image Processing: Flows under Min/Max Curvature and Mean Curvature

part, based on a local decision. This approach has several We present a class of PDE-based algorithms suitable for key virtues. First, it contains only one enhancement paramimage denoising and enhancement. The techniques are applicaeter, which in most cases is automatically chosen. Second, ble to both salt-and-pepper gray-scale noise and full-image the scheme automatically picks the stopping cr...

متن کامل

Contour 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 کامل

Neckpinch 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 کامل

Generalized 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 کامل

ذخیره 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: Surveys in Differential Geometry

سال: 2013

ISSN: 1052-9233,2164-4713

DOI: 10.4310/sdg.2013.v18.n1.a6