Heat flow for horizontal harmonic maps into a class of Carnot-Caratheodory spaces

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

Heat flow for horizontal harmonic maps into a class of Carnot-Caratheodory spaces

Let X and B be two Riemannian manifolds with π : X → B being a Riemannian submersion. Let H be the corresponding horizontal distribution, which is perpendicular to the tangent bundle of the fibres of π : X → B. Then X (just considered as a differentiable manifold), together with the distribution H, forms a so-called Carnot-Caratheodory space [1], when the Riemannian metric of X is restricted to...

متن کامل

On the Subanalyticity of Carnot–caratheodory Distances

Let M be a C∞ Riemannian manifold, dimM = n. A distribution on M is a smooth linear subbundle of the tangent bundle TM . We denote by q the fiber of at q ∈M ; q ⊂ TqM . The number k = dim q is the rank of the distribution. We assume that 1 < k < n. The restriction of the Riemannian structure to is a sub-Riemannian structure. Lipschitz integral curves of the distribution are called admissible pa...

متن کامل

The Heat Flow and Harmonic Maps on a Class of Manifolds

We study the heat flow for harmonic maps from a complete noncompact manifold M which satisfies conditions (a) and (b) in §1. We show that if the target manifold N is complete, the C initial map has bounded image in N and has bounded energy density and bounded tension field, then the short-time solution of (1.1) in §1 exists and is unique. Additional, if the sectional curvature of N is bounded f...

متن کامل

On uniqueness of heat flow of harmonic maps

In this paper, we establish the uniqueness of heat flow of harmonic maps into (N,h) that have sufficiently small renormalized energies, provided that N is either a unit sphere Sk−1 or a Riemannian homogeneous manifold. For such a class of solutions, we also establish the convexity property of the Dirichlet energy for t ≥ t0 > 0 and the unique limit property at time infinity. As a corollary, the...

متن کامل

Heat transfer enhancement due to air bubble injection into a horizontal double pipe heat exchanger

If an air flow is injected into a liquid fluid, many ambulant air bubbles are formed inside the fluid. Air bubbles move inside the liquid fluid because of the buoyancy force, and the mobility of these air bubbles makes sizable commixture and turbulence inside the fluid. This mechanism was employed to enhance the heat transfer rate of a horizontal double pipe heat exchanger in this paper. Howeve...

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: Mathematical Research Letters

سال: 2005

ISSN: 1073-2780,1945-001X

DOI: 10.4310/mrl.2005.v12.n4.a6