Derivatives of the shape operator of real hypersurfaces in the complex quadric

DOI10.1007/S00025-018-0888-4zbMath1400.53019OpenAlexW2889047004MaRDI QIDQ1990826

Juan de Dios Pérez, Young Jin Suh

Publication date: 25 October 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0888-4

zbMATH Keywords

real hypersurfaceshape operatorLie derivativecomplex quadric\(k\)-th generalized Tanaka-Webster connectionCho operators

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25)

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Cites Work

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• Comparing Lie derivatives on real hypersurfaces in complex projective spaces
• Generalized Tanaka-Webster and covariant derivatives on a real hypersurface in a complex projective space
• Levi-Civita and generalized Tanaka-Webster covariant derivatives for real hypersurfaces in complex two-plane Grassmannians
• Differential geometry of complex hypersurfaces
• REAL HYPERSURFACES WITH ISOMETRIC REEB FLOW IN COMPLEX QUADRICS
• Totally geodesic submanifolds of the complex and the quaternionic 2-Grassmannians
• Lie derivatives on a real hypersurface in complex two-plane Grassmannians

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