Conformal Rigidity

DOI10.2307/2374496zbMath0631.53043OpenAlexW4231232471MaRDI QIDQ3767979

Marcos Dajczer, Manfredo Perdigão do Carmo

Publication date: 1987

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374496

zbMATH Keywords

rigidity theoremflat bilinear formsisometric rigidityconformal rigidityconformal s-nullity

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (18)

Isometric rigidity in codimension 2 ⋮ Integral curvature and topological obstructions for submanifolds ⋮ Real Kaehler submanifolds in low codimension ⋮ Holomorphicity of real Kaehler submanifolds ⋮ A class of superconformal surfaces ⋮ Kaehler submanifolds of the real hyperbolic space ⋮ Euclidean hypersurfaces with genuine conformal deformations in codimension two ⋮ Deformation of hypersurfaces preserving the Möbius metric and a reduction theorem ⋮ A conformal differential invariant and the conformal rigidity of hypersurfaces ⋮ Bending of surfaces. III ⋮ On Compositions of Conformal Immersions ⋮ Local rigidity of hypersurfaces in real Euclidean spaces. ⋮ Conformal Hypersurfaces with the Same Gauss Map ⋮ Conformal infinitesimal variations of submanifolds ⋮ Finiteness of infinitesimal deformations and infinitesimal rigidity of hypersurfaces in real Euclidean spaces ⋮ Infinitesimal rigidity of Euclidean submanifolds ⋮ A rigidity theorem for higher codimensions ⋮ On submanifolds of two manifolds

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