A characterization for a \((2, 0)\)-geodesic affine immersion

DOI10.1007/s00025-011-0165-2zbMath1258.53013OpenAlexW2069175282MaRDI QIDQ1936913

Sanae Kurosu

Publication date: 8 February 2013

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

Full work available at URL: https://doi.org/10.1007/s00025-011-0165-2

zbMATH Keywords

anti-Kähler manifoldrelative nullity distributioncylinder theorem\((2,0)\)-geodesic affine immersioncomplex manifold with Norden metric

Mathematics Subject Classification ID

Global submanifolds (53C40) Affine differential geometry (53A15)

Cites Work

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• A cylinder theorem for a (1, 1)-geodesic affine hypersurface with non-flat induced connection
• Real Kaehler submanifolds and uniqueness of the Gauss map
• Relative nullity foliations and indefinite isometric immersions
• On the geometry of affine immersions
• On a class of hypersurfaces of \(R^{2n+1}\)
• A cylinder theorem for isometric pluriharmonic immersions
• Equivalence theorems for complex affine hypersurfaces
• Pluriharmonic maps in affine differential geometry and \((1, 1)\)-geodesic affine immersions
• Relative nullity distributions and \((1,1)\)-geodesic affine immersions

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