The degree of symmetry of certain compact smooth manifolds. II

DOI10.1007/s11401-005-0578-xzbMath1197.53050arXivmath/0505646OpenAlexW2762214949WikidataQ125128990 ScholiaQ125128990MaRDI QIDQ2641584

Bin Xu

Publication date: 20 August 2007

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505646

zbMATH Keywords

non-positive curvatureharmonic mapcobordismfiber bundlefirst cohomologydegree of symmetry

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Global Riemannian geometry, including pinching (53C20) Differential geometric aspects of harmonic maps (53C43)

Cites Work

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• Homogeneous Riemannian spaces of four dimensions
• Compact group actions and the topology of manifolds with non-positive curvature
• Minimal varieties and harmonic maps in tori
• The degree of symmetry of certain compact smooth manifolds.
• Compact manifolds of nonpositive curvature
• On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior
• On the semisimple degree of symmetry
• Some properties and applications of harmonic mappings
• Degree of Symmetry of a Product Manifold
• Harmonic Mappings of Riemannian Manifolds

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