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The Log-Convex Density Conjecture and vertical surface area in warped products
The Log-Convex Density Conjecture vertical surface area warped products Differential Geometry
2011/9/19
Abstract: We examine the vertical component of surface area in the warped product of a Euclidean interval and a fiber manifold with product density. We determine general conditions under which vertica...
Abstract: This is a survey on the geometry of warped products, without, or essentially with only soft, calculation. Somewhere in the paper, the goal was to give a synthetic account since existing appr...
Some triviality results for quasi-Einstein manifolds and Einstein warped products
quasi-Einstein manifolds Einstein warped products
2010/11/9
In this paper we prove a number of triviality results for Einstein warped products and quasi-Einstein manifolds using different techniques and under assumptions of various nature. In particular we ob...
Curvature estimates for submanifolds in warped products
Warped product manifolds Omori-Yau maximum principle weak Omori-Yau maximum principle
2010/12/8
We give estimates on the intrinsic and the extrinsic cur-vature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the...