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arXiv · 2205.11774

A generalization of the Schwarz lemma for transversally harmonic maps

Xin Huang·Weike Yu
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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.

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Xin Huang, Weike Yu. 2022-05-24. A generalization of the Schwarz lemma for transversally harmonic maps. https://arxiv.org/abs/2205.11774

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