Spectral geometry of semi-algebraic sets

DOI10.5802/aif.1291zbMath0759.58048OpenAlexW2324427882MaRDI QIDQ1203368

Mikhael Gromov

Publication date: 8 February 1993

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1992__42_1-2_249_0

zbMATH Keywords

singularitieseigenvaluesLaplace operatoralgebraic setsemianalytic setisoperimetric profile

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Semialgebraic sets and related spaces (14P10) Semi-analytic sets, subanalytic sets, and generalizations (32B20)

Related Items

Isoperimetric inequalities for the fundamental groups of torus bundles over the circle, Characteristic exponents of semialgebraic singularities, Steiner and Schwarz symmetrization in warped products and fiber bundles with density, Degeneration of algebraic manifolds and the spectrum of Laplacian, Smooth parametrizations in dynamics, analysis, diophantine and computational geometry, Infinitesimal calculus in metric spaces, Uniform approximation of near-singular surfaces, Analytic reparametrization of semi-algebraic sets

Cites Work

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• Spectral geometry of singular Riemannian spaces
• Global bounds for the Betti numbers of regular fibers of differentiable mappings
• Curvature, diameter and Betti numbers
• Resolution of Singularities and Division of Distributions
• On the Betti Numbers of Real Varieties