Compact manifolds with a little negative curvature

DOI10.1090/S0273-0979-1989-15691-7zbMath0677.53050OpenAlexW1994495324MaRDI QIDQ3833199

Steven Rosenberg, K. David Elworthy

Publication date: 1989

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1989-15691-7

zbMATH Keywords

Ricci curvaturefundamental groupharmonic 1-formsvanishing theorem

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (4)

Anticipating differential equation on a manifold and approximations ⋮ Quelques théorèmes d'annulation et de majoration d'invariants géométriques ⋮ Manifolds with wells of negative curvature. With an appendix by Daniel Ruberman: Homology and bounded homology of universal covers ⋮ Number of bound states and estimates on some geometric invariants

Cites Work

• Volume and bounded cohomology
• On the parabolic kernel of the Schrödinger operator
• Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
• Generalized Bochner theorems and the spectrum of complete manifolds
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• A note on curvature and fundamental group
• Some isoperimetric inequalities and eigenvalue estimates
• On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold

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