Remarks on Transversally F-Biharmonic Maps
BSG Proceedings 21. The International Conference “Differential Geometry and Dynamical Systems
Transversally f-biharmonic maps are different from f-biharmonic maps, and they generalize transversally biharmonic maps . We show that if the transversal f-tension field of a map ψ of foliated Riemannian manifolds is a transversal Jacobi field and φ is a transversally totally geodesic map, then the transversal f-tension field of the composition φ◦ψ is a transversal Jacobi field. We also investigate the transversal stress f-bienergy of a map ψ of foliated Riemannian manifolds.
Copyright - Balkan Society of Geometers, Geometry Balkan Press 2014.
Chiang, Yuan-Jen, and Robert A. Wolak. “Remarks on Transversally F-Biharmonic Maps.” In BSG Proceedings 21. The International Conference “Differential Geometry and Dynamical Systems,” 38–49. Bucharest, Romania, 2013. http://www.mathem.pub.ro/proc/bsgp-21/K21-ch-695.pdf.