Chern-Simons invariant and conformal embedding of a 3-manifold

DOI10.1007/s10114-010-8559-8zbMath1189.53060OpenAlexW1974711082MaRDI QIDQ2266866

Zizhou Tang, Chia-kuei Peng

Publication date: 26 February 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-8559-8

zbMATH Keywords

conformal embeddingBerger sphereChern-Simons invariantquaternionic frame

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Exterior differential systems (Cartan theory) (58A15) Eta-invariants, Chern-Simons invariants (58J28)

Related Items (1)

Isometric immersions of generalized Berger spheres in \(\mathbb{S}^4(1)\) and \(\mathbb{C}P^2(4)\)

Cites Work

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• Degree-one maps onto lens spaces
• Characteristic forms and geometric invariants
• Spectral asymmetry and Riemannian geometry. II

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