Number of bound states and estimates on some geometric invariants

DOI10.1016/0022-1236(90)90019-HzbMath0723.53026OpenAlexW2051571226MaRDI QIDQ756716

Gérard Besson, Pierre H. Bérard

Publication date: 1990

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(90)90019-h

zbMATH Keywords

heat equationRicci curvaturebound statesminimal immersionfirst Betti numberharmonic sectionsintegral bound

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Related Items (8)

Schrödinger operators and index bounds for minimal submanifolds ⋮ Minimal hypersurfaces in \(\mathbb {H}^n \times \mathbb {R}\), total curvature and index ⋮ Quelques théorèmes d'annulation et de majoration d'invariants géométriques ⋮ On the stability operator of submanifolds with constant mean curvature in hyperbolic space ⋮ Mini-workshop: Variable curvature bounds, analysis and topology on Dirichlet spaces. Abstracts from the mini-workshop held December 5--11, 2021 (hybrid meeting) ⋮ 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 ⋮ Upper bounds for the index of minimal surfaces

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