On self-mapping degrees of \(S^{3}\)-geometry manifolds

DOI10.1007/s10114-009-8077-8zbMath1173.57300arXiv0811.4266OpenAlexW2140842573MaRDI QIDQ839751

Xiaoming Du

Publication date: 3 September 2009

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

Full work available at URL: https://arxiv.org/abs/0811.4266

zbMATH Keywords

mapping degree\(S^{3}\)-geometry

Mathematics Subject Classification ID

Degree, winding number (55M25) General geometric structures on low-dimensional manifolds (57M50) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (10)

Unnamed Item ⋮ Difference cochains and Reidemeister traces ⋮ Self-mapping degrees of 3-manifolds ⋮ Mapping degrees between spherical $ 3$-manifolds ⋮ The \(\alpha\)-geometric structures on manifold of positive definite Hermite matrices ⋮ Self-mapping degrees of torus bundles and torus semi-bundles ⋮ A Hopf type classification theorem for isovariant maps from free \(G\)-manifolds to representation spheres ⋮ Fixed point theory of spherical 3-manifolds ⋮ Erratum to: ``On self-mapping degrees of \(S^3\)-geometry manifolds ⋮ Self-homeomorphisms and degree \(\pm 1\) self-maps on lens spaces

Cites Work

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• On mapping degrees between 1-connected 5-manifolds
• Self-mapping degrees of torus bundles and torus semi-bundles
• Homotopy equivalences and free modules
• The \(\pi_ 1\)-injectivity of self-maps of nonzero degree on 3-manifolds
• The degrees of maps between manifolds
• Computing degree of maps between manifolds
• On mappings into spaces in which certain homotopy groups vanish
• Mappings of manifolds and the notion of degree
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• The Geometries of 3-Manifolds
• Minimal Seifert manifolds

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