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http://dx.doi.org/10.4134/BKMS.b210799

TAMED EXHAUSTION FUNCTIONS AND SCHWARZ TYPE LEMMAS FOR ALMOST HERMITIAN MANIFOLDS  

Weike, Yu (School of Mathematics and Statistics Nanjing University of Science and Technology)
Publication Information
Bulletin of the Korean Mathematical Society / v.59, no.6, 2022 , pp. 1423-1438 More about this Journal
Abstract
In this paper, we study a special exhaustion function on almost Hermitian manifolds and establish the existence result by using the Hessian comparison theorem. From the viewpoint of the exhaustion function, we establish a related Schwarz type lemma for almost holomorphic maps between two almost Hermitian manifolds. As corollaries, we deduce several versions of Schwarz and Liouville type theorems for almost holomorphic maps.
Keywords
Almost Hermitian manifold; canonical connection; Hessian comparison theorem; tamed exhaustion function; Schwarz lemma;
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Times Cited By KSCI : 1  (Citation Analysis)
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