Inverse Mean Curvature Flows in Warped Product Manifolds
نویسندگان
چکیده
منابع مشابه
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 کاملWarped Product Submanifolds of Riemannian Product Manifolds
and Applied Analysis 3 where TX and NX are the tangential and normal components of FX, respectively, and for V ∈ T⊥M,
متن کاملCharacterizations of Twisted Product Manifolds to Be Warped Product Manifolds
In this paper, we give characterizations of a twisted product manifold to be a warped product manifold by imposing certain conditions on the Weyl conformal curvature tensor and the Weyl projective tensor. We also find similar results for multiply twisted product manifolds.
متن کاملClosed Weingarten Hypersurfaces in Warped Product Manifolds
Given a compact Riemannian manifold M , we consider a warped product M̄ = I ×h M where I is an open interval in R. We suppose that the mean curvature of the fibers do not change sign. Given a positive differentiable function ψ in M̄ , we find a closed hypersurface Σ which is solution of an equation of the form F (B) = ψ, where B is the second fundamental form of Σ and F is a function satisfying c...
متن کاملBiharmonic Maps between Doubly Warped Product Manifolds
In this paper biharmonic maps between doubly warped product manifolds are studied. We show that the inclusion maps of Riemannian manifolds B and F into the doubly warped product f B ×b F can not be proper biharmonic maps. Also we analyze the conditions for the biharmonicity of projections f B ×b F → B and f B ×b F → F , respectively. Some characterizations for non-harmonic biharmonic maps are g...
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: The Journal of Geometric Analysis
سال: 2017
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-017-9887-z