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Abstract
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We construct a tangential map from a locally symmetric space of noncompact type to
its dual compact type twin. By comparing the induced map in cohomology to a map
defined by Matsushima, we conclude that in the equal rank case the map has a
nonzero degree.
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Keywords
locally symmetric space, duality, degree, tangential map,
Matsushima's map
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Mathematical Subject Classification 2000
Primary: 53C35
Secondary: 57T15, 55R37, 57R99
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Publication
Received: 8 November 2001
Revised: 27 November 2001
Accepted: 28 November 2001
Published: 30 November 2001
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