Warped products admitting a curvature bound

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Warped Products Admitting a Curvature Bound

Warped products provide perhaps the major source of examples and counterexamples in metric and Riemannian geometry. Sufficient conditions for a warped product B×f F to have a curvature bound in the sense of Alexandrov, either above or below, are found in [AB 04]. Given the importance of warped products, we want to know if all the known sufficient conditions are needed. Here we prove their neces...

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2016

ISSN: 0001-8708

DOI: 10.1016/j.aim.2016.07.005