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Mathematics

Prairie View A&M University

2018

Complex quadric

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Non-Existence Of Hopf Real Hypersurfaces In Complex Quadric With Recurrent Ricci Tensor, Pooja Bansal, Mohammad H. Shahid Dec 2018

Non-Existence Of Hopf Real Hypersurfaces In Complex Quadric With Recurrent Ricci Tensor, Pooja Bansal, Mohammad H. Shahid

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we first introduce the notion of recurrent Ricci tensor which is the generalization of parallel Ricci tensor in the complex quadric Qm = SOm+2 /SOm SO2. After then, we investigate real hypersurfaces of the complex quadric Qm with the condition of recurrent Ricci tensor and give the glimpse of full classification with this condition.