A remark on Einstein warped products
Copyright policy )A remark on Einstein warped products
We prove triviality results for Einstein warped products with non-compact bases. These extend previous work by D.-S. Kim and Y.-H. Kim. The proof, from the viewpoint of "quasi-Einstein manifolds" introduced by J. Case, Y.-S. Shu and G. Wei, rely on maximum principles at infinity and Liouville-type theorems.
12 pages. Corrected typos. Final version: to appear on Pacific J. Math
Mathematics - Differential Geometry, triviality, Einstein warped products; Quasi-Einstein manifolds; Scalar curvature; Triviality; Mathematics (all), Einstein warped products; Quasi-Einstein manifolds; Scalar curvature; Triviality;, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, 53C21, Einstein warped products, Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential Geometry (math.DG), quasi-Einstein manifolds, FOS: Mathematics, scalar curvature
Mathematics - Differential Geometry, triviality, Einstein warped products; Quasi-Einstein manifolds; Scalar curvature; Triviality; Mathematics (all), Einstein warped products; Quasi-Einstein manifolds; Scalar curvature; Triviality;, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, 53C21, Einstein warped products, Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential Geometry (math.DG), quasi-Einstein manifolds, FOS: Mathematics, scalar curvature
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