Harmonic morphisms of warped product type from Einstein manifolds

H. Azad; M. T. Mustafa

doi:10.1007/s00013-006-1941-1

Harmonic morphisms of warped product type from Einstein manifolds

H. Azad^*, M. T. Mustafa

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Weitzenböck type identities for harmonic morphisms of warped product type are developed which lead to some necessary conditions for their existence. These necessary conditions are further studied to obtain many nonexistence results for harmonic morphisms of warped product type from Einstein manifolds.

Original language	English
Pages (from-to)	368-377
Number of pages	10
Journal	Archiv der Mathematik
Volume	88
Issue number	4
DOIs	https://doi.org/10.1007/s00013-006-1941-1
State	Published - Apr 2007
Externally published	Yes

Bibliographical note

Funding Information:
Acknowledgements. The authors would like to acknowledge the support and research facilities provided by King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia. This work is based on project FT2004(14) at the University. The authors are thankful to John C. Wood and Martin Svensson for useful comments.

Keywords

Bochner technique
Einstein manifolds
Harmonic morphisms
Warped products

ASJC Scopus subject areas

General Mathematics

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10.1007/s00013-006-1941-1

Cite this

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title = "Harmonic morphisms of warped product type from Einstein manifolds",

abstract = "Weitzenb{\"o}ck type identities for harmonic morphisms of warped product type are developed which lead to some necessary conditions for their existence. These necessary conditions are further studied to obtain many nonexistence results for harmonic morphisms of warped product type from Einstein manifolds.",

keywords = "Bochner technique, Einstein manifolds, Harmonic morphisms, Warped products",

author = "H. Azad and Mustafa, {M. T.}",

note = "Funding Information: Acknowledgements. The authors would like to acknowledge the support and research facilities provided by King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia. This work is based on project FT2004(14) at the University. The authors are thankful to John C. Wood and Martin Svensson for useful comments.",

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AB - Weitzenböck type identities for harmonic morphisms of warped product type are developed which lead to some necessary conditions for their existence. These necessary conditions are further studied to obtain many nonexistence results for harmonic morphisms of warped product type from Einstein manifolds.

KW - Bochner technique

KW - Einstein manifolds

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KW - Warped products

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Harmonic morphisms of warped product type from Einstein manifolds

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this