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Tamed exhaustion functions and Schwarz type lemmas for almost Hermitian manifolds

Weike Yu
대한수학회 (The Korean Mathematical Society)|2022.11|대한수학회보 (Bulletin of the KMS)|제59권 제6호|pp. 1423-1438|DOI 10.4134/BKMS.b210799

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키워드

Almost Hermitian manifoldSchwarz lemmacanonical connectionHessian comparison theoremtamed exhaustion function
주제분류수학

초록

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.

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.

참고문헌 (28)

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