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Causal compactification of compactly causal spaces

Author(s): Frank Betten
Journal: Trans. Amer. Math. Soc. 355 (2003), 4699-4721.
MSC (2000): Primary 53C35; Secondary 32M15
Posted: July 28, 2003
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Abstract: We give a classification of causal compactifications of compactly causal spaces. Introduced by Ólafsson and Ørsted, for a compactly causal space $G/H$, these compactifications are given by $G$-orbits in the Bergman-Silov boundary of $G_1/K_1$, with $G \subset G_1$ and $(G_1, K_1, \theta)$ a Hermitian symmetric space of tube type. For the classical spaces an explicit construction is presented.

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Additional Information:

Frank Betten
Affiliation: Mathematisches Institut, Universität Göttingen, Bunsenstraße 3--5, D--37073 Göttingen, Germany

DOI: 10.1090/S0002-9947-03-03010-1
PII: S 0002-9947(03)03010-1
Received by editor(s): October 7, 1996
Posted: July 28, 2003
Copyright of article: Copyright 2003, American Mathematical Society

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