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On Einstein warped products with a quarter-symmetric connection

    https://doi.org/10.1142/S0219887817500505Cited by:8 (Source: Crossref)

    This paper characterizes the warping functions for a multiply generalized Robertson–Walker space-time to get an Einstein space M with a quarter-symmetric connection for different dimensions of M (i.e. (1). dim M=2, (2). dim M3) when all the fibers are Ricci flat. Then we have also computed the warping functions for a Ricci flat Einstein multiply warped product spaces M with a quarter-symmetric connection for different dimensions of M (i.e. (1). dim M=2, (2). dim M=3, (3). dim M4) and all the fibers are Ricci flat. In the last section, we have given two examples of multiply generalized Robertson–Walker space-time with respect to quarter-symmetric connection.

    AMSC: 53C25, 53C50