Stability of F-biharmonic maps

Document Type: Research Paper

Authors

Department of Mathematics and Computer Science‎, ‎Amirkabir University of Technology‎, ‎Tehran‎, ‎Iran.

Abstract

This paper studies some properties of F-biharmonic maps between Riemannian manifolds. By considering the first variation formula of the F-bienergy functional, F-biharmonicity of conformal maps are investigated. Moreover, the second variation formula for F-biharmonic maps is obtained. As an application, instability and nonexistence theorems for F-biharmonic maps are given.

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Main Subjects


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Volume 43, Issue 6
November and December 2017
Pages 1657-1669
  • Receive Date: 21 January 2016
  • Revise Date: 29 August 2016
  • Accept Date: 30 August 2016