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The eigenforms of the complex Laplacian for a Hermitian submersion

Published online by Cambridge University Press:  22 January 2016

Peter B. Gilkey ,
John V. Leahy  and
JeongHyeong Park
Peter B. Gilkey
Affiliation:
Mathematics Department, University of Oregon Eugene, OR 97403, USA, gilkey@darkwing.uoregon.edu
John V. Leahy
Affiliation:
Mathematics Department, University of Oregon Eugene, OR 97403, USA, leahy@darkwing.uoregon.edu
JeongHyeong Park
Affiliation:
Department of Mathematics, Honam University, Seobongdong 59, Kwangsanku, Kwangju, 506-090, South Korea, jhpark@honam.honam.ac.kr
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Abstract

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Let π : Z → Y be a Hermitian submersion. We study when the pull-back of an eigenform of the complex Laplacian on Y is an eigenform of the complex Laplacian on Z.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 156 , 1999 , pp. 1 - 23
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1999

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