Bounds for the first Dirichlet eigenvalue attained at an infinite family of Riemannian manifolds
type: Item
instance of: scholarly article
title: Bounds for the first Dirichlet eigenvalue attained at an infinite family of Riemannian manifolds
zbMATH Open document ID: 0869.53024
DOI: 10.1007/BF00149419
author: Ana Lluch
author: Vicente Miquel
published in: Geometriae Dedicata
publication date: 1997-09-11T00:00:00Z
review text: Let \(M\) be a compact Riemannian manifold with smooth boundary \(\partial M\). The authors get bounds for the first eigenvalue of the Dirichlet eigenvalue problem on \(M\) in terms of bounds of the sectional curvature of \(M\) and the normal curvature of \(\partial M\). Similar results hold for Kähler manifolds.
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 58C40
Mathematics Subject Classification ID: 53C21
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 883876
zbMATH Keywords: Riemannian manifold
zbMATH Keywords: Dirichlet eigenvalue problem
zbMATH Keywords: sectional curvature
reviewed by: Mircea Puta
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00149419
OpenAlex ID: W2088210900
description: scientific article; zbMATH DE number 883876