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Multiply Warped Products with a Quarter-symmetric Connection

2014/10/01 by Quan Qu, Yong Wang, Qu, Quan +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1410.0170

41 pages. arXiv admin note: text overlap with arXiv:1207.5092

arxiv created 2014/10/01 · arxiv updated 2014/10/02

Abstract

In this paper, we study the Einstein warped products and multiply warped products with a quarter-symmetric connection. We also study warped products and multiply warped products with a quarter-symmetric connection with constant scalar curvature. Then apply our results to generalized Robertson-Walker spacetimes with a quarter-symmetric connection and generalized Kasner space-times with a quarter-symmetric connection.

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