• Sharief Deshmukh

      Articles written in Proceedings – Mathematical Sciences

    • Real Hypersurfaces of a Complex Projective Space

      Sharief Deshmukh

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      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.

    • Real Hypersurfaces of a Complex Space Form

      Sharief Deshmukh

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      In this paper we are interested in obtaining a condition under which a compact real hypersurface of a complex projective space $CP^n$ is a geodesic sphere. We also study the question as to whether the characteristic vector field of a real hypersurface of the complex projective space $CP^n$ is harmonic, and show that the answer is in negative.

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