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 $V = \nabla^{\mathcal{H}} h$.
Xin HUANG
. A SCHWARZ LEMMA FOR TRANSVERSALLY $V$-HARMONIC MAPS BETWEEN RIEMANNIAN FOLIATED MANIFOLDS[J]. Acta mathematica scientia, Series B, 2024
, 44(6)
: 2509
-2526
.
DOI: 10.1007/s10473-024-0625-x
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