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Geometry of Horosphere by Nishith Mandal is a document available to read on EtoBox.
What is Geometry of Horosphere about?
This article investigates the geometry of horospheres in Kobayashi hyperbolic domains, focusing on the conditions under which closed small and big horospheres intersect the boundary only at a specific point. The authors prove that any model-Gromov-hyperbolic domain possesses this property and provide examples of non-Gromov-hyperbolic domains that also satisfy it. Additionally, they discuss the implications of these findings on the homeomorphic extension of biholomorphisms.
- Author
- Nishith Mandal
- Language
- EN