Quelques théorèmes d'annulation et de majoration d'invariants géométriques

DOI10.24033/msmf.353zbMath0751.58038OpenAlexW2583345312MaRDI QIDQ4005227

Pierre H. Bérard

Publication date: 27 September 1992

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=MSMF_1991_2_46__19_0

zbMATH Keywords

Ricci curvatureBochner theoremLaplacianBetti numbers

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Number of bound states and estimates on some geometric invariants
• Sur une inégalité isopérimétrique qui généralise celle de Paul Lévy-Gromov. (On an isoperimetric inequality which generalizes that of Paul Lévy-Gromov)
• Spectral geometry: direct and inverse problems. With an appendix by G. Besson
• Vanishing theorems for square-integrable harmonic forms
• The spectral geometry of a Riemannian manifold
• Related aspects of positivity in Riemannian geometry
• Minimal varieties in Riemannian manifolds
• From vanishing theorems to estimating theorems: the Bochner technique revisited
• Compact manifolds with a little negative curvature
• Vector fields and Ricci curvature
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