FIXED POINT FREE CIRCLE ACTIONS AND FINITENESS THEOREMS

DOI10.1142/S0219199700000062zbMath1010.53032OpenAlexW2026739464MaRDI QIDQ4514933

Xiaochun Rong, Fu-Quan Fang

Publication date: 14 November 2000

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199700000062

zbMATH Keywords

symplectic manifoldscohomology classesfundamental groupsectional curvaturesvanishing theoremfiniteness theoremsdiffeomorphism types

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Differential topological aspects of diffeomorphisms (57R50)

Related Items (6)

Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR manifolds with \(S^1\)-action ⋮ Finiteness and realization theorems for Alexandrov spaces with bounded curvature ⋮ Circle action, lower bound of fixed points and characteristic numbers ⋮ A note on Kähler manifolds with almost nonnegative bisectional curvature ⋮ Topological obstructions to certain Lie group actions on manifolds ⋮ Curvature, diameter, homotopy groups, and cohomology rings

Cites Work

• On the structure of 5-manifolds
• Bounding homotopy types by geometry
• New examples of manifolds with strictly positive curvature
• Bounding homotopy and homology groups by curvature and diameter
• Simply connected five-manifolds
• An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
• Finiteness Theorems for Riemannian Manifolds

This page was built for publication: FIXED POINT FREE CIRCLE ACTIONS AND FINITENESS THEOREMS