Convergence theorem for riemannian manifolds with boundary
Shigeru Kodani (1990)
Compositio Mathematica
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Displaying similar documents to “Metric properties of eigenfunctions of the Laplace operator on manifolds”
Convergence theorem for riemannian manifolds with boundary
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.
Eigenvalue estimates for the weighted laplacian on a riemannian manifold
Alberto G. Setti (1998)
Rendiconti del Seminario Matematico della Università di Padova
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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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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.
An inverse problem for the equation
Michael Vogelius (1994)
Annales de l'institut Fourier
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Let be a bounded, convex planar domain whose boundary has a not too degenerate curvature. In this paper we provide partial answers to an identification question associated with the boundary value problem We prove two results: 1) If is not a ball and if one considers only solutions with , then there exist at most finitely many pairs of coefficients so that the normal derivative equals a given . 2) If one imposes no sign condition on the...