Warped product and quasi-Einstein metrics

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چکیده مقاله:

Warped products provide a rich class of physically significant geometric objects. Warped product construction is an important method to produce a new metric with a base manifold and a fibre. We construct compact base manifolds with a positive scalar curvature which do not admit any non-trivial quasi-Einstein warped product, and non compact complete base manifolds which do not admit any non-trivial Ricci-flat quasi-Einstein warped product

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عنوان ژورنال

دوره 6  شماره 1

صفحات  1- 8

تاریخ انتشار 2017-01-01

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