Complete real Kähler Euclidean hypersurfaces are cylinders

DOI10.5802/aif.2254zbMath1119.53005OpenAlexW2313292177MaRDI QIDQ2372791

Luis A. Florit, Fang Yang Zheng

Publication date: 1 August 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2007__57_1_155_0

zbMATH Keywords

splittingcylindersKähler submanifolds

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (7)

An extension theorem for real Kähler submanifolds in codimension 4 ⋮ Complete minimal submanifolds with nullity in Euclidean space ⋮ Conformal Kaehler Euclidean submanifolds ⋮ Kaehler submanifolds of hyperbolic space ⋮ Complete real Kähler submanifolds in codimension two ⋮ On real Kähler Euclidean submanifolds with non-negative Ricci curvature ⋮ Real Kähler submanifolds in codimension 6

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• On real Kähler Euclidean submanifolds with non-negative Ricci curvature
• A complex analogue of Hartman-Nirenberg cylinder theorem
• Complete real Kähler submanifolds in codimension two
• Kähler manifolds as real hypersurfaces
• On Spherical Image Maps Whose Jacobians Do Not Change Sign
• On the Isometric Immersions in Euclidean Space of Manifolds with Nonnegative Sectional Curvatures. II

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