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Generalized Killing structure Jacobi operator for real hypersurfaces in complex hyperbolic two-plane Grassmannians

서영진|이현진|우창화
대한수학회 (The Korean Mathematical Society)|2022.03|대한수학회지 (Journal of the KMS)|제59권 제2호|pp. 255-278|DOI 10.4134/JKMS.j200614

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참고문헌

키워드

Hopf hypersurfacecyclic parallel structure Jacobi operatorGeneralized Killing structure Jacobi operatorgeodesic Reeb flow
주제분류수학

초록

In this paper, first we introduce a new notion of generalized Killing structure Jacobi operator for a real hypersurface $M$ in complex hyperbolic two-plane Grassmannians $S U_{2, m} / S\left(U_{2} \cdot U_{m}\right)$. Next we prove that there does not exist a Hopf real hypersurface in complex hyperbolic two-plane Grassmannians $S U_{2, m} / S\left(U_{2} \cdot U_{m}\right)$ with generalized Killing structure Jacobi operator.

Abstract

In this paper, first we introduce a new notion of generalized Killing structure Jacobi operator for a real hypersurface $M$ in complex hyperbolic two-plane Grassmannians $S U_{2, m} / S\left(U_{2} \cdot U_{m}\right)$. Next we prove that there does not exist a Hopf real hypersurface in complex hyperbolic two-plane Grassmannians $S U_{2, m} / S\left(U_{2} \cdot U_{m}\right)$ with generalized Killing structure Jacobi operator.

참고문헌 (34)

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