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

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.

preprint2014arXivOpen access
Avik DeTee-How Loo
math.DG
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Open access2 authors1 topic
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Avik DeTee-How Loo

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