Hinges and geometric constructions of boundaries of symmetric spaces
Yurii A. Neretin (Moskow State Institute of electronics and, mathematics, Max-Plank-Institute-fur-Mathematik, Bonn)
TL;DR
This paper presents elementary methods to construct various boundaries of symmetric spaces, including Satake-Furstenberg, Martin, and Karpelevich, and introduces some novel boundary constructions.
Contribution
It provides new elementary constructions for key symmetric space boundaries and introduces some previously unconsidered boundary types.
Findings
Elementary constructions for classical boundaries
Introduction of new boundary types
Enhanced understanding of symmetric space boundaries
Abstract
We give elementary constructions for Satake-Furstenberg, Martin and Karpelevich boundaries of symmetric spaces. We also consruct some "new" boundaries
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Holomorphic and Operator Theory · Geometric and Algebraic Topology