Minimal Barriers for Geometric Evolutions
نویسندگان
چکیده
منابع مشابه
Smooth Geometric Evolutions of Hypersurfaces
We consider the gradient flow associated to the following functionals Fm(φ) = ∫ M 1 + |∇ν| dμ . The functionals are defined on hypersurfaces immersed in R via a map φ : M → R, where M is a smooth closed and connected n–dimensional manifold without boundary. Here μ and ∇ are respectively the canonical measure and the Levi–Civita connection on the Riemannian manifold (M, g), where the metric g is...
متن کاملGeometric phase for adiabatic evolutions of general quantum states.
The concept of a geometric phase (Berry's phase) is generalized to the case of noneigenstates, which is applicable to both linear and nonlinear quantum systems. This is particularly important to nonlinear quantum systems, where, due to the lack of the superposition principle, the adiabatic evolution of a general state cannot be described in terms of eigenstates. For linear quantum systems, our ...
متن کاملOn Completely Integrable Geometric Evolutions of Curves of Lagrangian Planes
In this paper we find a explicit moving frame along curves of Lagrangian planes invariant under the action of the symplectic group. We use the moving frame to find a family of independent and generating differential invariants. We then construct geometric Hamiltonian structures in the space of differential invariants and prove that, if we restrict them to a certain Poisson submanifold, they bec...
متن کاملBarriers to Topologically Minimal Surfaces
In earlier work we introduced topologically minimal surfaces as the analogue of geometrically minimal surfaces. Here we strengthen the analogy by showing that complicated amalgamations act as barriers to low genus, topologically minimal surfaces.
متن کاملInvariant Geometric Evolutions of Surfaces and Volumetric Smoothing
The study of geometric flows for smoothing, multiscale representation, and analysis of two and three dimensional objects has received much attention in the past few years. In this paper, we first present results mainly related to Euclidean invariant geometric smoothing of three dimensional surfaces. We describe results concerning the smoothing of graphs (images) via level sets of geometric heat...
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: Journal of Differential Equations
سال: 1997
ISSN: 0022-0396
DOI: 10.1006/jdeq.1997.3288