In this paper,we prove a transversal V-Laplacian comparison theorem under a transversal Bakry-Emery Ricci condition.We establish a Schwarz type lemma for transversally V-harmonic maps of bounded generalized transversa...In this paper,we prove a transversal V-Laplacian comparison theorem under a transversal Bakry-Emery Ricci condition.We establish a Schwarz type lemma for transversally V-harmonic maps of bounded generalized transversal dilatation between Riemannian foliated manifolds by using this comparison theorem,including for the case of V=▽^(H)h.展开更多
文摘In this paper,we prove a transversal V-Laplacian comparison theorem under a transversal Bakry-Emery Ricci condition.We establish a Schwarz type lemma for transversally V-harmonic maps of bounded generalized transversal dilatation between Riemannian foliated manifolds by using this comparison theorem,including for the case of V=▽^(H)h.