Euler characters and submanifolds of constant positive curvature

DOI10.1090/S0002-9947-02-03043-XzbMath1026.53029MaRDI QIDQ4537411

John Douglas Moore

Publication date: 30 June 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Euclidean spacecurvaturesubmanifoldChern-Simons invariantsumbilical directions

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Global submanifolds (53C40)

Related Items (3)

Topological obstructions for submanifolds in low codimension ⋮ Integral curvature and topological obstructions for submanifolds ⋮ Equivariant differential cohomology

Cites Work

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• A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
• On Automorphisms of A Kählerian Structure
• Codimension Two Submanifolds of Positive Curvature
• Differentiability of a Function and of its Compositions with Functions of One Variable.
• Existence of Universal Connections
• Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space

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