Sur une hypothèse de transversalité d'Arnold. (About a transversality hypothesis of Arnold)
type: Item
instance of: scholarly article
title: Sur une hypothèse de transversalité d'Arnold. (About a transversality hypothesis of Arnold)
zbMATH Open document ID: 0672.58046
DOI: 10.1007/BF02566761
author: Yves Colin de Verdière
published in: Commentarii Mathematici Helvetici
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/140116
review text: The paper handles with certain hypotheses due to \textit{V. I. Arnol'd} [Funct. Anal. Appl. 6, 94-101 (1972); translation from Funkts. Anal. Prilozh. 6, No.2, 12-20 (1972; Zbl 0251.70012)] concerning the transversality with respect to the eigenvalues of a family of selfadjoint operators. The author proves that in some situations the hypotheses are true, but they do not hold in general which is shown by some counterexamples.
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 4100249
zbMATH Keywords: spectral geometry
zbMATH Keywords: transversality
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4100249