Centroaffine immersions of codimension two and projective hypersurface theory

DOI10.1017/S0027763000004645zbMath0791.53011OpenAlexW1962273697MaRDI QIDQ4278765

Takeshi Sasaki, Katsumi Nomizu

Publication date: 18 July 1994

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000004645

zbMATH Keywords

projective hypersurfaceprojective invariantsaffine immersionscentroaffine immersions

Mathematics Subject Classification ID

Projective differential geometry (53A20) Affine differential geometry (53A15)

Related Items (13)

Flat centroaffine surfaces with parallel second fundamental form in \(\mathbb{R}^4\) ⋮ Centroaffine first order invariants of surfaces in \(\mathbb{R}^ 4\) ⋮ Holomorphic centroaffine immersions and the Lelieuvre correspondence ⋮ Immersions into statistical manifolds ⋮ Cubic form geometry for immersions in centro-affine and graph hypersurfaces ⋮ A generalization of Lelieuvre's formula to equiaffine immersions of general codimension ⋮ Centroaffine surfaces in ℝ⁴ with planar ∇-geodesics ⋮ Equiaffine immersions of general codimension and its transversal volume element map ⋮ An affine submersion with horizontal distribution and its applications ⋮ Flat centroaffine surfaces with the degenerate second fundamental form and vanishing Pick invariant in \(\mathbb R^{4}\) ⋮ The Gauss maps of Demoulin surfaces with conformal coordinates ⋮ Unnamed Item ⋮ Centroaffine duality for spatial polygons

Cites Work

• Conjugate connections and Radon's theorem in affine differential geometry
• On the geometry of affine immersions
• Centroaffine differential geometry: Submanifolds of codimension 2
• Cubic form theorem for affine immersions
• On the geometry of projective immersions
• On the classification of projectively homogeneous surfaces

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