Asian Journal of Mathematics

Volume 17 (2013)

Number 4

A topological approach to unifying compactifications of symmetric spaces

Pages: 597 – 608

DOI: https://dx.doi.org/10.4310/AJM.2013.v17.n4.a2

Author

Pedro J. Freitas (Center for Linear and Combinatorial Structures, Lisboa, Portugal; Departamento de Matemática da Faculdade de Ciências, Universidade de Lisboa, Portugal)

Abstract

In this paper we present a topological way of building a compactification of a symmetric space from a compactification of a Weyl Chamber. We also present a way to achieve compactifications by means of generalized Busemann functions.

Keywords

compactifications, symmetric spaces

2010 Mathematics Subject Classification

53C35, 54D35

Full Text (PDF format)

Published 27 December 2013