Transversal biwave maps

Chiang, Yuan-Jen   ; Wolak, Robert A.

Archivum mathematicum, Tome 46 (2010) no. 3, pp. 211-226

Abstract (VO)

In this paper, we prove that the composition of a transversal biwave map and a transversally totally geodesic map is a transversal biwave map. We show that there are biwave maps which are not transversal biwave maps, and there are transversal biwave maps which are not biwave maps either. We prove that if $f$ is a transversal biwave map satisfying certain condition, then $f$ is a transversal wave map. We finally study the transversal conservation laws of transversal biwave maps.

Détail

Classification : 53C12, 58E20, 58G11
Keywords: transversal bi-energy; transversal biwave field; transversal biwave map

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