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Bull. Korean Math. Soc. 2021; 58(3): 721-727

Online first article November 5, 2020      Printed May 31, 2021

https://doi.org/10.4134/BKMS.b200492

Copyright © The Korean Mathematical Society.

The convex hull of three boundary points in complex hyperbolic space

Youngju Kim

Konkuk University

Abstract

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The convex hull of a generic triple of boundary points has non-zero finite volume in complex hyperbolic $2$-space.

Keywords: Complex hyperbolic geometry, convex hull, Cartan angular invariant, Bergman metric

MSC numbers: Primary 30C65, 20H10; Secondary 51M10, 22E40, 32G07

Supported by: This paper was supported by Konkuk University in 2018

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