Nonzero degree tangential maps between dual symmetric spaces

Details Nonzero degree tangential maps between dual symmetric spaces Nonzero degree tangential maps between dual symmetric spaces

2001-12-31

arxiv.org/abs/math/0112316v1

Algebr. Geom. Topol. 1 (2001) 709-718

Mathematics

Differential Geometry

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-35.abs.html

Scientific paper

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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