Biharmonic maps from a complete Riemannian manifold into a non-positively curved manifold
نویسندگان
چکیده
منابع مشابه
Biharmonic maps from R into a Riemannian manifold
For a domain R and a Riemannian manifold N R. If u 2 W ( ; N) is an extrinsic (or intrinsic, respectively) biharmonic map. Then u 2 C( ; N). x
متن کاملStationary biharmonic maps from R into a Riemannian manifold
We prove that a stationary extrinsic (or intrinsic, respectively) biharmonic map u 2 W ( ; N) from R into a Riemnanian manifold N is smooth away from a closed set of (m 4)-dimensional Hausdor measure zero. x
متن کاملA Positively Curved Manifold Homeomorphic
Spaces of positive curvature play a special role in geometry. Although the class of manifolds with positive (sectional) curvature is expected to be relatively small, so far there are only a few known obstructions. Moreover, for closed simply connected manifolds these coincide with the known obstructions to nonnegative curvature which are: (1) the Betti number theorem of Gromov which asserts tha...
متن کاملBiharmonic Green domains in a Riemannian manifold
Let R be a Riemannian manifold without a biharmonic Green function defined on it and Ω a domain in R. A necessary and sufficient condition is given for the existence of a biharmonic Green function on Ω.
متن کاملOptimal Regularity of Harmonic Maps from a Riemannian Manifold into a Static Lorentzian Manifold
positive function. In such a case, we write N = N0 ×β R. In this paper we consider the case where N0 is compact. We may assume, by Nash-Moser theorem, N0 is a submanifold of R for some k > 1. By the compactness of N0, there exist constants βmin, βmax > 0 such that βmin ≤ β(x) ≤ βmax for all x ∈ N0. Let M be a Riemannian manifold with non-empty boundary ∂M . For a map w = (u, t) : M → N0 ×β R, w...
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: Annals of Global Analysis and Geometry
سال: 2014
ISSN: 0232-704X,1572-9060
DOI: 10.1007/s10455-014-9410-8