Rigidity of hypersurfaces in complex projective space

DOI10.24033/asens.1694zbMath0829.57021OpenAlexW185284286MaRDI QIDQ4292089

Gary R. Jensen, Emilio Musso

Publication date: 10 July 1994

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1994_4_27_2_227_0

zbMATH Keywords

hypersurfacebilinear formcongruencecomplex manifoldframe fieldholomorphic immersionsFubini holomorphic symmetric quadratic formholomorphic symmetric cubic formprojectively congruent

Mathematics Subject Classification ID

Differential topology (57R99) Hypersurfaces and algebraic geometry (14J70) Projective differential geometry (53A20)

Related Items (6)

Cartan-Fubini type extension theorems ⋮ Conformal geometry of isotropic curves in the complex quadric ⋮ \(G\)-deformations of maps into projective space ⋮ The Cauchy-Riemann strain functional for Legendrian curves in the 3-sphere ⋮ A conformal differential invariant and the conformal rigidity of hypersurfaces ⋮ Cartan-Fubini type extension of holomorphic maps for Fano manifolds of Picard number 1.

Cites Work

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• Deformation of submanifolds of homogeneous spaces
• On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
• Higher order contact of submanifolds of homogeneous spaces
• ℋ -Space with a cosmological constant
• Algebraic geometry and local differential geometry

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