A SCHWARZ LEMMA FOR TRANSVERSALLY V-HARMONIC MAPS BETWEEN RIEMANNIAN FOLIATED MANIFOLDS  

作　　者：Xin HUANG 黄昕(School of Mathematical Sciences,Fudan University,Shanghai 200433,China;School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China)

机构地区：[1]School of Mathematical Sciences,Fudan University,Shanghai 200433,China [2]School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China

出　　处：《Acta Mathematica Scientia》2024年第6期2509-2526,共18页数学物理学报（B辑英文版）

基　　金：supported by the NSFC(11771087,12171091)。

摘　　要：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.

关 键 词：Schwarz lemma transversal V-Laplacian comparison theorem transversally V-harmonic map 

分 类 号：O186.12[理学—数学]