Real Hypersurfaces in Complex Two-plane Grassmannians with F-parallel Normal Jacobi Operator

DOI10.5666/KMJ.2011.51.4.395zbMath1243.53099OpenAlexW2009435897MaRDI QIDQ5390024

Imsoon Jeong, Young Jin Suh

Publication date: 24 April 2012

Published in: Kyungpook mathematical journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5666/kmj.2011.51.4.395

zbMATH Keywords

normal Jacobi operatorHopf hypersurfacesreal hypersurfacescomplex two-plane Grassmanians

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Global submanifolds (53C40) Local submanifolds (53B25) Local Riemannian geometry (53B20)

Related Items (7)

\(\mathfrak{D}^\bot\)-parallel normal Jacobi operators for Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster connection ⋮ Semi-parallelism of normal Jacobi operator for Hopf hypersurfaces in complex two-plane Grassmannians ⋮ Generalized Tanaka-Webster and Levi-Civita connections for normal Jacobi operator in complex two-plane Grassmannians ⋮ Commuting structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians ⋮ Nonexistence of Hopf hypersurfaces in complex two-plane Grassmannians with GTW parallel normal Jacobi operator ⋮ Real hypersurfaces with pseudo-parallel normal Jacobi operator in complex two-plane Grassmannians ⋮ Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel normal Jacobi operator

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