Stability of Sacks-Uhlenbeck Biharmonic Maps

Document Type : Research Articles

Authors

1 Department of Mathematics, Faculty of basic Sciences, University of Bojnord, Bojnord, Iran

2 Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., Tehran 15914, Iran.

Abstract

In this paper, the first and second variation formulas of the Sacks-Uhlenbeck bienergy functional is obtained. As an application, instability and non-existence theorems for Sacks-Uhlenbeck biharmonic maps are given.

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