A Generalization of the Schwarz Lemma for Transversally Harmonic Maps

被引：0
作者：
Xin Huang
Weike Yu
机构：
[1] Fudan University,School of Mathematical Sciences
[2] Nanjing University of Science and Technology,School of Mathematics and Statistics
来源：
The Journal of Geometric Analysis | 2024年 / 34卷
关键词：
Riemannian foliation; Schwarz lemma; Transversally harmonic map; Transversally holomorphic map; 53C12;
D O I：
暂无
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摘要：
In this paper, we consider transversally harmonic maps between Riemannian manifolds with Riemannian foliations. In terms of the Bochner techniques and sub-Laplacian comparison theorem, we are able to establish a generalization of the Schwarz lemma for transversally harmonic maps of bounded generalized transversal dilatation. In addition, we also obtain a Schwarz type lemma for transversally holomorphic maps between Kähler foliations.
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