arXiv:1309.5722 Abstract | arXiv Analytics

arXiv:1309.5722 [math.DG]Abstract References Reviews Resources

Warped products in Riemannian manifolds

Published 2013-09-23, updated 2014-06-17Version 2

In this paper we prove two inequalities relating the warping function to various curvature terms, for warped products isometrically immersed in Riemannian manifolds. This extends work of B. Y. Chen for the case of immersions into space forms. Finally we give an application where the target manifold is the Clifford torus.

Comments: 10 pages, to appear in the Bulletin of the Australian Mathematical Society

Categories: math.DG

Subjects: 53C40, 53C42, 53C50

Keywords: riemannian manifolds, warped products, curvature terms, space forms, target manifold

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