Closed Weingarten hypersurfaces in warped product manifolds
نویسندگان
چکیده
منابع مشابه
Closed 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 کاملClosed Weingarten Hypersurfaces in Semi-riemannian Manifolds
The existence of closed hypersurfaces of prescribed curvature in semi-riemannian manifolds is proved provided there are barriers.
متن کاملCurvature Estimates for Weingarten Hypersurfaces in Riemannian Manifolds
We prove curvature estimates for general curvature functions. As an application we show the existence of closed, strictly convex hypersurfaces with prescribed curvature F , where the defining cone of F is Γ+. F is only assumed to be monotone, symmetric, homogeneous of degree 1, concave and of class C, m ≥ 4.
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 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: Indiana University Mathematics Journal
سال: 2009
ISSN: 0022-2518
DOI: 10.1512/iumj.2009.58.3631