Positively curved manifolds with maximal discrete symmetry rank

DOI10.1353/ajm.2004.0012zbMath1064.53019arXivmath/0308139OpenAlexW2064003234MaRDI QIDQ4826399

Xiaochun Rong, Fu-Quan Fang

Publication date: 11 November 2004

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308139

zbMATH Keywords

Riemannian manifolds

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Global Riemannian geometry, including pinching (53C20) Finite transformation groups (57S17) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (7)

Fundamental groups of positively curved manifolds with symmetry ⋮ Obstructions to positive curvature and symmetry ⋮ The Hopf conjecture for positively curved manifolds with discrete Abelian group actions ⋮ THE HOPF CONJECTURE FOR MANIFOLDS WITH ABELIAN GROUP ACTIONS ⋮ Homeomorphism classification of positively curved manifolds with almost maximal symmetry rank ⋮ On closed $\delta $-pinched manifolds with discrete abelian group actions ⋮ About topology of saddle submanifolds

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