A generalization of the Schwarz lemma for transversally harmonic maps
Differential Geometry
2022-05-25 v1
Abstract
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 K\"ahler foliations.
Keywords
Cite
@article{arxiv.2205.11774,
title = {A generalization of the Schwarz lemma for transversally harmonic maps},
author = {Xin Huang and Weike Yu},
journal= {arXiv preprint arXiv:2205.11774},
year = {2022}
}