Some properties of biwave maps (Q408237)

Biharmonic maps were first studied by \textit{G. Jiang} [Chin. Ann. Math., Ser. A 7, 389--402 (1986; Zbl 0628.58008) and ibid., 130--144 (1986; Zbl 0596.53046)]. Biwave maps are biharmonic maps from Minkowski spaces into Riemannian manifolds, they generalize wave maps and were first studied by \textit{Y.-J. Chiang} [Int. J. Math. Math. Sci. 2009, Article ID 104274, 14 p. (2009; Zbl 1169.53336)].NEWLINENEWLINEThis paper gives the formulations for equivariant biwave maps into various spaces by applying eigenmaps between spheres. Biwave fields of inclusions into warped product manifolds are computed. Some examples of biwave maps are constructed by using inclusions and submersions. The stress bi-energy tensors and the conservation laws of biwave maps are investigated and some applications are discussed.