Algebraic & Geometric Topology 1 (2001) 709–718

DOI: 10.2140/agt.2001.1.709

arXiv: math.DG/0112316

Abstract

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.

Keywords

locally symmetric space, duality, degree, tangential map, Matsushima's map

Mathematical Subject Classification

Primary: 53C35

Secondary: 55R37, 57R99, 57T15

References

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Publication

Received: 8 November 2001
Revised: 27 November 2001
Accepted: 28 November 2001
Published: 30 November 2001

Authors