Killing normal Jacobi operator on real hypersurfaces in the complex hyperbolic quadric

Hyunjin Lee                <meta name=

2022/101/1-2 (2) — DOI: 10.5486/PMD.2022.9124 — pp. 15-32

Killing normal Jacobi operator on real hypersurfaces in the complex hyperbolic quadric

Authors: Hyunjin Lee, Imsoon Jeong and Young Jin Suh

Abstract:

In this paper, we introduce the notion of Killing normal Jacobi operator for real hypersurfaces in the complex hyperbolic quadric ${Q^m}^*$, and we prove a non-existence theorem of Hopf real hypersurfaces with Killing normal Jacobi operator in ${Q^m}^*$.

Keywords: Killing normal Jacobi operator, singular vector field, $\mathfrak A$-isotropic, $\mathfrak A$-principal, Kähler structure, complex hyperbolic quadric

Mathematics Subject Classification: 53C40, 53C55