Abstract
A fundamental problem in geometry is to understand the automorphism group of a geometric structure. In this paper, we discuss the contribution that ergodic theory can make in this direction. We shall see that one can obtain new basic results, some quite definitive, that have not been obtained by purely geometric methods.
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Research partially supported by NSF Grant DMS-8301882
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© 1987 Springer-Verlag New York Inc.
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Zimmer, R.J. (1987). Ergodic Therory and the Automorphism Group of a G-Structure. In: Moore, C.C. (eds) Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics. Mathematical Sciences Research Institute Publications, vol 6. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4722-7_10
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DOI: https://doi.org/10.1007/978-1-4612-4722-7_10
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