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

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

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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