Advanced Studies in Pure Mathematics

Horospherical geometry in the hyperbolic space

Shyuichi Izumiya

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Abstract

This is a survey article on the recent results of the “horospherical geometry” in the hyperbolic space. Detailed arguments for the results have been appeared or will appear in several different articles.

Article information

Source
Noncommutativity and Singularities: Proceedings of French–Japanese symposia held at IHÉS in 2006, J.-P. Bourguignon, M. Kotani, Y. Maeda and N. Tose, eds. (Tokyo: Mathematical Society of Japan, 2009), 31-49

Dates
Received: 2 August 2007
Revised: 31 March 2008
First available in Project Euclid: 28 November 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1543447900

Digital Object Identifier
doi:10.2969/aspm/05510031

Mathematical Reviews number (MathSciNet)
MR2463489

Zentralblatt MATH identifier
1181.53011

Subjects
Primary: 53A35: Non-Euclidean differential geometry 57R45: Singularities of differentiable mappings 58K40: Classification; finite determinacy of map germs

Keywords
The hyperbolic 3-space horosphere horospherical geometry horo-flat surfaces singularities

Citation

Izumiya, Shyuichi. Horospherical geometry in the hyperbolic space. Noncommutativity and Singularities: Proceedings of French–Japanese symposia held at IHÉS in 2006, 31--49, Mathematical Society of Japan, Tokyo, Japan, 2009. doi:10.2969/aspm/05510031. https://projecteuclid.org/euclid.aspm/1543447900


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