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arXiv · 1411.2379

Semi-parallel symmetric operators for Hopf hypersurfaces in complex two-plane Grassmannians

Doo Hyun Hwang·Hyunjin Lee·Changhwa Woo
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Abstract

In this paper, we introduce new notions of semi-parallel shape operators and structure Jacobi operators in complex two-plane Grassmannians $G_2({\mathbb C}^{m+2})$. By using such a semi-parallel condition, we give a complete classification of Hopf hypersurfaces in $G_2({\mathbb C}^{m+2})$.

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Doo Hyun Hwang, Hyunjin Lee, Changhwa Woo. 2014-11-10. Semi-parallel symmetric operators for Hopf hypersurfaces in complex two-plane Grassmannians. https://arxiv.org/abs/1411.2379

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