Non-existence of Hopf real hypersurfaces in complex quadric with recurrent Ricci tensor

Authors

Pooja Bansal, Jamia Millia Islamia
Mohammad H. Shahid, Jamia Millia Islamia

Abstract

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

Recommended Citation

Bansal, Pooja and Shahid, Mohammad H. (2018). Non-existence of Hopf real hypersurfaces in complex quadric with recurrent Ricci tensor, Applications and Applied Mathematics: An International Journal (AAM), Vol. 13, Iss. 2, Article 35.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss2/35