2017•arXiv (Cornell University)Open access

Real hypersurfaces in complex Grassmannians of rank two with semi-parallel structure Jacobi operator

Avik De, Tee‐How Loo, Changhwa Woo

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Abstract

We prove that there does not exist any real hypersurface in complex Grassmannians of rank two with semi-parallel structure Jacobi operator. With this result, the nonexistence of real hypersurface in complex Grassmannians of rank two with recurrent structure Jacobi operator is proved.

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What this paper is about

We prove that there does not exist any real hypersurface in complex Grassmannians of rank two with semi-parallel structure Jacobi operator. With this result, the nonexistence of real hypersurface in complex Grassmannians of rank two with recurrent structure Jacobi operator is proved.

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Available abstract

We prove that there does not exist any real hypersurface in complex Grassmannians of rank two with semi-parallel structure Jacobi operator. With this result, the nonexistence of real hypersurface in complex Grassmannians of rank two with recurrent structure Jacobi operator is proved.

Key concepts: Hypersurface, Rank (graph theory), Jacobi operator, Operator (biology), Mathematics, Pure mathematics, Jacobi method, Mathematical analysis

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