Complex-Analyticity of Harmonic Maps and Vanishing Theorems

Siu, Yum-Tong

doi:10.1007/978-1-4612-5296-2_9

Yum-Tong Siu⁵

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Abstract

The purpose of this talk is to point out the similarity between the methods used in investigating the rigidity of compact complex manifolds and those employed in studying their strong rigidity. We hope that in understanding more fully this similarity we can obtain strong rigidity results for Einstein manifolds by using the techniques used in obtaining known results on the rigidity of Einstein manifolds.

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Authors and Affiliations

Department of Mathematics, Stanford University, 94305, Stanford, California, USA
Yum-Tong Siu

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Yum-Tong Siu
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Editors and Affiliations

Department of Mathematics, Princeton University, 08544, Princeton, NJ, USA
J. J. Kohn
Mathematisches Institüt der Universität, Einstein-strasse 64, D-4400, Münster, Germany
R. Remmert
Acadima Sinica, Beijing, China
Q.-K. Lu
Department of Mathematics, Harvard University, 02138, Cambridge, MA, USA
Y.-T. Siu

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Siu, YT. (1984). Complex-Analyticity of Harmonic Maps and Vanishing Theorems. In: Kohn, J.J., Remmert, R., Lu, QK., Siu, YT. (eds) Several Complex Variables. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-5296-2_9

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DOI: https://doi.org/10.1007/978-1-4612-5296-2_9
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3189-5
Online ISBN: 978-1-4612-5296-2
eBook Packages: Springer Book Archive

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