Translator Disclaimer
VOL. 34 | 2002 Discrete Spectrum and Weyl's Asymptotic Formula for Incomplete Manifolds
Jun Masamune, Wayne Rossman

Editor(s) Kenji Fukaya, Seiki Nishikawa, Joel Spruck

Abstract

Motivated by recent interest in the spectrum of the Laplacian of incomplete surfaces with isolated conical singularities, we consider more general incomplete $m$-dimensional manifolds with singularities on sets of codimension at least 2. With certain restrictions on the metric, we establish that the spectrum is discrete and satisfies Weyl's asymptotic formula.

Information

Published: 1 January 2002
First available in Project Euclid: 31 December 2018

zbMATH: 1024.58015
MathSciNet: MR1925741

Digital Object Identifier: 10.2969/aspm/03410219

Subjects:
Primary: 58J50
Secondary: 35J05, 35P10, 35P20, 53C20

Rights: Copyright © 2002 Mathematical Society of Japan

PROCEEDINGS ARTICLE
11 PAGES


SHARE
Back to Top