Address:
Department of Mathematics, University of Mary Washington, Fredericksburg, VA 22401
Instytut Matematyki, Uniwersytet Jagiellonski, ul. Lojasiewicza 6, 30-348 Krakow, Poland
E-mail:
ychiang@umw.edu
robert.wolak@im.uj.edu.pl
Abstract: 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.
AMSclassification: primary 58E20; secondary 58G11, 53C12.
Keywords: transversal bi-energy, transversal biwave field, transversal biwave map.