Abstract
We study homogeneous almost complex manifolds with strongly pseudoconvex boundaries. A strongly pseudoconvex homogeneous domain in a complex manifold is biholomorphic to the complex Euclidean ball. But this characterization of the complex Euclidean ball fails in the almost complex manifolds. We will show this exhibiting concrete examples. Main aim of this article is the classification of strongly pseudoconvex homogeneous domains in almost complex manifolds. We also give the explicit description of their automorphism groups.
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