Conformally flat submanifolds of Euclidean space

DOI10.1007/BF01364894zbMath0322.53027MaRDI QIDQ1223836

John Douglas Moore

Publication date: 1977

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162922

Mathematics Subject Classification ID

General topology of complexes (57Q05) Global submanifolds (53C40)

Related Items (16)

Topological obstructions for submanifolds in low codimension ⋮ Euler characters and submanifolds of constant positive curvature ⋮ Quaternion Kaehlerian Manifolds Isometrically Immersed in Euclidean Space ⋮ Integral curvature and topological obstructions for submanifolds ⋮ Umbilics of conformally flat submanifolds in Euclidean space ⋮ Umbilics of conformally flat submanifolds ⋮ Conformally flat Lorentz hypersurfaces. ⋮ Conformally flat submanifolds ⋮ Low codimensional submanifolds of Euclidean space with nonnegative isotropic curvature ⋮ On extendability of isometric immersions of spheres ⋮ Almost conformally flat hypersurfaces ⋮ Conformally flat submanifolds with flat normal bundle ⋮ On a class of submanifolds carrying an extrinsic totally umbilical foliation. ⋮ A class of Einstein submanifolds of Euclidean space ⋮ On complete conformally flat submanifolds with nullity in Euclidean space ⋮ Embedding problems: Geometric and topological aspects

Cites Work

• Characteristic forms and geometric invariants
• Umbilics of constant curvature immersions
• Morse Theory. (AM-51)
• Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space
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