A cylinder theorem for a (1, 1)-geodesic affine hypersurface with non-flat induced connection

DOI10.1007/S10711-009-9386-XzbMath1195.53008OpenAlexW2050633432MaRDI QIDQ849370

Sanae Kurosu

Publication date: 25 February 2010

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-009-9386-x

zbMATH Keywords

affine immersioncomplex manifoldnullity distributioninduced connectiongeodesic immersioncylinder theoremtransversal bundle

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Affine differential geometry (53A15)

Related Items (1)

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

Cites Work

• 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
• Isometric pluriharmonic immersions of Kähler manifolds into semi-Euclidean spaces
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