南京师大学报（自然科学版）2025，Vol.48Issue(6)：1-10,110,11.DOI:10.3969/j.issn.1001-4616.2025.06.001
黎曼流形间的两类广义调和映照的Liouville定理
Liouville Type Theorem for Two Kinds of Generalized Harmonic Maps Between Riemannian Manifold
摘要
Abstract
In this paper,we mainly derive monotonicity formula of generalized map from metric measure space via conservation law,including φ-F-harmonic map coupled with φ-F-symphonic map with m-form and potential.We also get Liouville theorem for φ-F-V-harmonic maps from metric measure space in terms of the upper bound of Ricci curvature and the bound about sectional curvature.关键词
Liouville定理/φ-F-交响映照/带有m形式和位势函数的φ-F-调和映照Key words
Liouville theorem/φ-F-V-symphonic map/φ-F-symphonic map with m-form and potential分类
数理科学引用本文复制引用
Cao Xiangzhi..黎曼流形间的两类广义调和映照的Liouville定理[J].南京师大学报（自然科学版）,2025,48(6):1-10,110,11.基金项目
江苏省高等学校自然科学研究(基础科学)面上资助项目(22KJD110004). （基础科学）
