• Real Hypersurfaces of a Complex Projective Space

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      https://www.ias.ac.in/article/fulltext/pmsc/121/02/0171-0179

    • Keywords

       

      Real hypersurfaces; mean curvature; Ricci curvature; shape operator; 𝜑-analytic vector fields; Jacobi-type vector fields.

    • Abstract

       

      In this paper, we classify real hypersurfaces in the complex projective space $CP\frac{n+1}{2}$ whose structure vector field is a 𝜑-analytic vector field (a notion similar to analytic vector fields on complex manifolds). We also define Jacobi-type vector fields on a Riemannian manifold and classify real hypersurfaces whose structure vector field is a Jacobi-type vector field.

    • Author Affiliations

       

      Sharief Deshmukh1

      1. Department of Mathematics, College of Science, King Saud University, P.O. Box #2455, Riyadh 11451, Saudi Arabia
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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