On holomorphic mappings between almost Hermitian manifolds

2019/09/01 by Masood, Kirollos
#32Q60 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1909.00315

Abstract

Our goal is to combine the techniques of Xiaokui Yang, Valentino Tosatti, and others to establish a Liouville-type result for almost complex manifolds. The transition to the non-integrable setting is delicate, so we will devote a section to discuss the key differences, and another to introduce the tools we will be using. Afterwards, we present a proof of our main theorem.

Related

• Liouville Theorems for holomorphic maps on pseudo-Hermitian manifolds
• Holomorphic Riemannian maps
• Harmonic morphisms between almost Hermitian manifolds
• On pseudoholomorphic map between almost Hermitian manifolds
• Some haracterizations of almost Hermitian manifolds