Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 1997; 12(2): 373-382

Printed June 1, 1997

Copyright © The Korean Mathematical Society.

On the spectral geometry for the jacobi opertors of harmonic maps into a sasakian or cosympletic space form

Tae Ho Kang, Hyun Suk Kim

University of Ulsan, Kanazawa University

Abstract

When the target manifold is a Sasakian or cosympletic space form, we characterize invariant immersions, tangential anti-invariant immersions and normal anti-invariant immersions by the spectra of the Jacobi operator.

Keywords: spectral geometry, Jacobi operators, harmonic maps, Sasakian space forms, cosympletic space forms

MSC numbers: 58G25