Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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TAMED EXHAUSTION FUNCTIONS AND SCHWARZ TYPE LEMMAS FOR ALMOST HERMITIAN MANIFOLDS

  • Weike, Yu (School of Mathematics and Statistics Nanjing University of Science and Technology)
  • Received : 2021.11.02
  • Accepted : 2022.04.22
  • Published : 2022.11.30
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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

Acknowledgement

The author thanks the anonymous referee of this paper for careful reading and helpful comments.

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