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.

**Keywords**

**Main Subjects**

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November and December 2017

Pages 1657-1669

**Receive Date:**21 January 2016**Revise Date:**29 August 2016**Accept Date:**30 August 2016