Results 271 to 280 of about 3,233,557 (302)

Mean Curvature of Riemannian Foliations

Canadian Mathematical Bulletin, 1996
AbstractIt is shown that a suitable conformai change of the metric in the leaf direction of a transversally oriented Riemannian foliation on a closed manifold will make the basic component of the mean curvature harmonic. As a corollary, we deduce vanishing and finiteness theorems for Riemannian foliations without assuming the harmonicity of the basic ...
March, Peter, Min-Oo, Maung, Ruh, Ernst A.   +2 more
openaire   +2 more sources

Stochastic Motion by Mean Curvature

Archive for Rational Mechanics and Analysis, 1998
The author establishes the existence of a continuously time-varying random subset \(K(t)\) of Euclidean space such that its boundary, which is a hypersurface, has normal velocity formally equal to the mean curvature plus a random driving force. This random force is modelled by a stochastic flow of diffeomorphisms, and the sets \(K(t)\) are sets of ...
openaire   +1 more source

Computing Curvature, Mean Curvature and Weighted Mean Curvature

2022 IEEE International Conference on Image Processing (ICIP), 2022
openaire   +2 more sources

Hypersurfaces of Constant Mean Curvature

1989
I want to discuss some aspects of the theory of hypersurfaces of constant mean curvature H. The subject is intimately related to the theory of minimal hypersurfaces which corresponds to the case H = 0. There are, however, some striking differences between the two cases, and this can already be made clear in the simplest situation of surfaces in the ...
openaire   +1 more source

Interfaces of Prescribed Mean Curvature

1987
Several questions of mathematical and physical interest lead to the consideration of an “energy functional” of the following type: $$F[V] = \text{(weighted area of}\, S) + \int_{v}\, H dv,$$ (*) where S is the surface bounding the region V of n-space and H is a given summable function. In the following, we shall be concerned with a problem of
openaire   +2 more sources

Discrete Mean Curvature Flow

1999
In this paper, we introduce the linear scale-space theory for functions on finite graphs. This theory permits us to derive a discrete version of the mean curvature flow. This discrete version yields a deformation procedure for polyhedrons. The adjacent matrix and the degree matrix of a polyhedral graph describe the system equation of this polyhedral ...
Atsushi Imiya, Ulrich Eckhardt
openaire   +2 more sources

Nucleation and mean curvature flow

Communications in Partial Differential Equations, 1998
which is written in terms of the characteristic function of the evolving set. The argument is based on implicit time-discretization, derivation of uniform estimates, and passage to thIn this paper ...
openaire   +2 more sources

Remark on Mean Curvature

Journal of the London Mathematical Society, 1966
openaire   +2 more sources

On the scalar curvature of constant mean curvature hypersurfaces in space forms

Journal of Mathematical Analysis and Applications, 2010
Luis J Alias
exaly  

Image Denoising Using Mean Curvature of Image Surface

SIAM Journal on Imaging Sciences, 2012
, Tony F Chan
exaly