Web15. júl 2024 · In 1982, Peter Buser [5] proved an upper bound for the first nonzero eigenvalue λ 1 of the Laplace-Beltrami operator in terms of the Cheeger constant h. Let M be an n-dimensional compact Riemannian manifold whose Ricci curvature is bounded from below by − (n − 1) a 2, where a ≥ 0. Then λ 1 ≤ c (a h + h 2), where c is a constant ... Jürg Peter Buser, known as Peter Buser, (born 27 February 1946 in Basel) is a Swiss mathematician, specializing in differential geometry and global analysis.

Jürg Peter Buser - Wikipedia

WebJürg Peter Buser, known as Peter Buser, (born 27 February 1946 in Basel) is a Swiss mathematician, specializing in differential geometry and ... (EPFL) since 1982. From 2004 to 2005 he was president of the Swiss Mathematical Society. In 2003 he was made an honorary doctor of the University of Helsinki. Selected publications "Über eine ... WebBY PETER BUSER 1. Introduction The isoperimetric inequality for the standard sphere S" implies that the volume ratio vol ^A/vol A for open subsets A with vol A ^ 1 /2 vol S" and sufficiently regular boundary 8A is minimized for A equal a hemisphere. Similarly one defines an isoperimetric constant: /^M^inf^, vol A foowire

Geometry and Spectra of Compact Riemann Surfaces - Peter …

WebAdvancing research. Creating connections. Publications — Over 100 years of publishing excellence Web[7] P. Buser, Beispiele für λ1 auf kompakten Mannigfaltigkeiten Math. Z., Vol. 165, 1977, pp. 107-133. MR Zbl [8] P. Buser, On Cheeger's Inequality λ1 ≧ h²/4, in Geometry of the Laplace Operator (Proceedings of Symposia in Pure Mathematics, Vol. 36, 1980 pp. 29-77). MR Zbl [9] I. Chavel, A Note on Manifolds with Thin Handles (Preprint). WebPeter Buser, Hugo Parlier∗ Abstract. The goal of the article is to provide di erent explicit quanti cations of the non density of simple closed geodesics on hyperbolic surfaces. In … foowin heater