Real hypersurfaces in Kähler manifolds

DOI10.4310/AJM.2001.v5.n1.a1zbMath1015.32030MaRDI QIDQ700479

Wilhelm jun. Klingenberg

Publication date: 22 October 2002

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

maximum principleembeddingKähler manifoldlocal invariantsCR manifoldsLevi-Civita connectionKähler metricHermitianGauss equationsadapted framesadapted Laplace operatorambient manifoldCodazzi equationscommutator relationscompact strictly pseudoconvex hypersurfacecompatibility relationsdoubly covariant tensorembedded real hypersurfacesholomorphic isometric isomorphismshorizontal mean curvaturehorizontal tangent bundleRiemannian second fundamental formsecond covariant derivatives

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Real submanifolds in complex manifolds (32V40) Global submanifolds (53C40) Embeddings of CR manifolds (32V30)

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