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arXiv · 1402.5705

Real hypersurfaces with pseudo-parallel normal Jacobi operator in complex two-plane Grassmannians

Avik De·Tee-How Loo
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Abstract

The objective of the present paper is to prove the non-existence of real hypersurface with pseudo-parallel normal Jacobi operator in complex two-plane Grassmannians. As a corollary, we show that there does not exist any real hypersurface with semi-parallel or recurrent normal Jacobi operator in complex two-plane Grassmannians. This answers a question considered in [Monatsh Math, 172 (2013), 167-178] in negative.

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Avik De, Tee-How Loo. 2014-02-24. Real hypersurfaces with pseudo-parallel normal Jacobi operator in complex two-plane Grassmannians. https://arxiv.org/abs/1402.5705

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