Geodesic
Nonzero degree tangential maps between dual symmetric spaces
Okun, Boris1
1Department of Mathematical Sciences, University of Wisconsin–Milwaukee, Milwaukee WI 53201, USA
Algebraic and Geometric Topology, Tome 1 (2001) no. 2, pp. 709-718
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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.

DOI : 10.2140/agt.2001.1.709
Keywords: locally symmetric space, duality, degree, tangential map, Matsushima's map

Okun, Boris  1

1 Department of Mathematical Sciences, University of Wisconsin–Milwaukee, Milwaukee WI 53201, USA 
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Okun, Boris. Nonzero degree tangential maps between dual symmetric spaces. Algebraic and Geometric Topology, Tome 1 (2001) no. 2, pp. 709-718. doi: 10.2140/agt.2001.1.709

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