Quasi-Einstein and Generalized Quasi-Einstein Warped Products with an Affine Connection

13 May 2015  ·  Qu Quan ·

In this paper, we study the quasi-Einstein and generalized quasi-Einstein warped products with a semi-symmetric non-metric connection. We give the expressions of the Ricci tensors and scalar curvatures for the bases and fibres. In some cases we give some obstructions to the existence of the quasi-Einstein and generalized quasi-Einstein warped products with a semi-symmetric non-metric connection.

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Differential Geometry