Some results and examples of the biharmonic maps with potential

Abstract

In this paper, we will study the class of biharmonic maps with potential, in the particular case represented by conformal maps between equidimensional manifolds. Some examples are constructed in particular cases (Euclidean space and sphere). Keywords: Harmonic map with potential, Biharmonic map with potential, Conformal maps, Mathematics Subject Classification: 31B30, 53C25, 58E20, 58E30