Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
Shing-Tung Yau (1975)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Eigenvalue estimates for the weighted laplacian on a riemannian manifold”
Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
Harnack inequalities on a manifold with positive or negative Ricci curvature.
Dominique Bakry, Zhongmin M. Qian (1999)
Revista Matemática Iberoamericana
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Several new Harnack estimates for positive solutions of the heat equation on a complete Riemannian manifold with Ricci curvature bounded below by a positive (or a negative) constant are established. These estimates are sharp both for small time, for large time and for large distance, and lead to new estimates for the heat kernel of a manifold with Ricci curvature bounded below.
The third Betti number of a positively pinched riemannian six manifold
Walter Seaman (1986)
Annales de l'institut Fourier
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We prove that if the sectional curvature, , of a compact 6-manifold without boundary satisfies then its third (real) Betti number is zero.
Convergence theorem for riemannian manifolds with boundary
Shigeru Kodani (1990)
Compositio Mathematica
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Mean curvature comparison for tubular hypersurfaces in Kähler manifolds and some applications
Vicente Miquel, Vicente Palmer (1993)
Compositio Mathematica
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Ferromagnetic integrals, correlations and maximum principles
Johannes Sjöstrand (1994)
Annales de l'institut Fourier
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For correlations of the form (0.2) we consider a critical case and prove power decay upper bounds in terms of the fundamental solution of a certain elliptic operator. This is achieved by improving the use of a maximum principle. We also formulate a general maximum principle and give two applications.
Bounds for capacities in terms of asymmetry.
Tilak Bhattacharya, Allen Weitsman (1996)
Revista Matemática Iberoamericana
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