THE EXISTENCE OF SOME METRICS ON RIEMANNIAN WARPED PRODUCT MANIFOLDS WITH FIBER MANIFOLD OF CLASS (B)

Authors :: Soo-Young Lee
Yoon-Tae Jung
Song-Hwa Chae
Source :: Korean Journal of Mathematics. 23:733-740
Publication Year :: 2015
Publisher :: The Kangwon-Kyungki Mathematical Society, 2015.
Abstract: In this paper, we prove the existence of warping functions on Riemannian warped product manifolds with some prescribed scalar curvatures according to the fiber manifolds of class (B).

Subjects :: Pure mathematics
Curvature of Riemannian manifolds
Prescribed scalar curvature problem
Mathematical analysis
Riemannian geometry
Mathematics::Geometric Topology
Manifold
symbols.namesake
Computer Science::Sound
Ricci-flat manifold
symbols
Hermitian manifold
Mathematics::Differential Geometry
Sectional curvature
Mathematics::Symplectic Geometry
Mathematics
Scalar curvature

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