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http://dx.doi.org/10.4134/JKMS.j200614

GENERALIZED KILLING STRUCTURE JACOBI OPERATOR FOR REAL HYPERSURFACES IN COMPLEX HYPERBOLIC TWO-PLANE GRASSMANNIANS  

Lee, Hyunjin (Research Institute of Real and Complex Manifold (RIRCM) Kyungpook National University)
Suh, Young Jin (Department of Mathematics & RIRCM Kyungpook National University)
Woo, Changhwa (Department of Applied Mathematics Pukyong National University)
Publication Information
Journal of the Korean Mathematical Society / v.59, no.2, 2022 , pp. 255-278 More about this Journal
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 SU2,m/S (U2·Um). Next we prove that there does not exist a Hopf real hypersurface in complex hyperbolic two-plane Grassmannians SU2,m/S (U2·Um) with generalized Killing structure Jacobi operator.
Keywords
Generalized Killing structure Jacobi operator; cyclic parallel structure Jacobi operator; geodesic Reeb flow; Hopf hypersurface;
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