Some nonsemisymmetric Ricci-semisymmetric warped product hypersurfaces
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 کاملHarnack Estimates for Ricci Flow on a Warped Product
In this paper, we study the Ricci flow on closed manifolds equipped with warped product metric (N × F, gN + fgF ) with (F, gF ) Ricci flat. Using the framework of monotone formulas, we derive several estimates for the adapted heat conjugate fundamental solution which include an analog of G. Perelman’s differential Harnack inequality in [18].
متن کاملOn Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product
By applying Omori-Yau maximal principal theory and supposing an appropriate restriction on the norm of gradient of height function, we obtain some new Bernstein-type theorems for complete spacelike hypersurfaces with nonpositive constant mean curvature immersed in a semi-Riemannian warped product. Furthermore, some applications of our main theorems for entire vertical graphs in Robertson-Walker...
متن کاملClassification of ξ-Ricci-semisymmetric (κ, μ)- manifolds
It is proved that for a non-Sasakian η-Einstein (κ, μ)-manifold M the following three conditions are equivalent: (a) M is flat and 3-dimensional, (b) M is Ricci-semisymmetric, and (c) M is ξ-Riccisemisymmetric. Then it is proved that an ξ-Ricci-semisymmetric (κ, μ)manifold M is either flat and 3-dimensional, or locally isometric to E × S(4), or an Einstein-Sasakian manifold. Mathematics Subject...
متن کاملWarped product and quasi-Einstein metrics
Warped products provide a rich class of physically significant geometric objects. Warped product construction is an important method to produce a new metric with a base manifold and a fibre. We construct compact base manifolds with a positive scalar curvature which do not admit any non-trivial quasi-Einstein warped product, and non compact complete base manifolds which do not admit any non-triv...
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: Publications de l'Institut Mathematique
سال: 2002
ISSN: 0350-1302
DOI: 10.2298/pim0272081d