Spectral geometry of compact Hermitian symmetric submanifolds
type: Item
instance of: scholarly article
title: Spectral geometry of compact Hermitian symmetric submanifolds
zbMATH Open document ID: 0592.53044
DOI: 10.1007/BF01162020
author: Seiichi Udagawa
published in: Mathematische Zeitschrift
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173715
review text: This paper is devoted to the proof of a theorem on a spectral inequality involving \(\lambda_ 3\leq n+3\) in spec(M) under certain assumptions on the first and the second eigenvalues of the Laplace-Beltrami operator on functions on M, where M is an n-dimensional compact (Einstein) Kaehler submanifold in \(CP^{n+m}\). The theorem is a partial generalization of another theorem by the same author stated in the paper.
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 53C35
zbMATH DE Number: 3951492
zbMATH Keywords: spectrum
zbMATH Keywords: complex projective space
zbMATH Keywords: spectral inequality
zbMATH Keywords: Laplace-Beltrami operator
zbMATH Keywords: Kaehler submanifold
MaRDI profile type: Publication
cites work: Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
cites work: Q5678153
cites work: On locally symmetric Kaehler submanifolds in a complex projective space
cites work: Differential geometry of Kaehler submanifolds
cites work: On spectral geometry of Kähler submanifolds
cites work: Degree of symmetric Kählerian submanifolds of a complex projective space
cites work: Einstein parallel Kaehler submanifolds in a complex projective space
cites work: Spectral geometry of Kaehler submanifolds of a complex projective space
description: scientific article; zbMATH DE number 3951492