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arXiv · 1602.08018

Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting structure Jacobi operators

Hyunjin Lee·Young Jin Suh·Changhwa Woo
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Abstract

In this paper, we introduce a new commuting condition between the structure Jacobi operator and symmetric (1,1)-type tensor field $T$, that is, $R_{\xi}\phi T=TR_{\xi}\phi$, where $T=A$ or $T=S$ for Hopf hypersurfaces in complex hyperbolic two-plane Grassmannians. By using simultaneous diagonalzation for commuting symmetric operators, we give a complete classification of real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting condition respectively.

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Hyunjin Lee, Young Jin Suh, Changhwa Woo. 2016-01-25. Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting structure Jacobi operators. https://arxiv.org/abs/1602.08018

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