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http://dx.doi.org/10.5666/KMJ.2019.59.3.525

Hopf Hypersurfaces in Complex Two-plane Grassmannians with Generalized Tanaka-Webster Reeb-parallel Structure Jacobi Operator  

Kim, Byung Hak (Department of Applied Mathematics and Institute of Natural Sciences, Kyung Hee University)
Lee, Hyunjin (The Research Institute of Real and Complex Manifolds, Kyungpook National University)
Pak, Eunmi (Department of Mathematics, Kyungpook National University)
Publication Information
Kyungpook Mathematical Journal / v.59, no.3, 2019 , pp. 525-535 More about this Journal
Abstract
In relation to the generalized Tanaka-Webster connection, we consider a new notion of parallel structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians and prove the non-existence of real hypersurfaces in $G_2({\mathbb{C}}^{m+2})$ with generalized Tanaka-Webster parallel structure Jacobi operator.
Keywords
real hypersurface; complex two-plane Grassmannian; Hopf hypersurface; generalized Tanaka-Webster connection; structure Jacobi operator;
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