Level surfaces of non-degenerate functions in \(\mathbb{R}^{n+1}\)

DOI10.1007/BF01265310zbMath0805.53007MaRDI QIDQ1332624

Jian Hua Hao, Hirohiko Shima

Publication date: 1 February 1995

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

zbMATH Keywords

level surfaceaffine normaltransversal vector field

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items

Harmonicity of gradient mappings of level surfaces in a real affine space ⋮ Geometry of Hessian manifolds ⋮ Equiaffine geometry of level sets and ruled hypersurfaces with equiaffine mean curvature zero ⋮ Randers metrics based on deformations by gradient winds ⋮ A Schwarz lemma for Kähler affine metrics and the canonical potential of a proper convex cone

Cites Work

• Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
• Domaines bornés homogènes et orbites de groupes de transformations affines
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