Harmonic Spaces and Density Functions

We use the density function of a harmonic space to obtain estimates for the eigenvalues of the Jacobi operator; when these estimates are sharp, then the harmonic space is a symmetric Osserman space.

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Bibliographic Details
Published in:	Resultate der Mathematik Vol. 75; no. 3
Main Authors:	Gilkey, P. B., Park, J. H.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01-09-2020
Subjects:	Mathematics Mathematics and Statistics harmonic spaces Rank one symmetric spaces density function 53C21
Online Access:	Get full text
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Description
Summary:	We use the density function of a harmonic space to obtain estimates for the eigenvalues of the Jacobi operator; when these estimates are sharp, then the harmonic space is a symmetric Osserman space.
ISSN:	1422-6383 1420-9012
DOI:	10.1007/s00025-020-01248-7