Nonzero degree tangential maps between dual symmetric spaces

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 2000

Primary: 53C35

Secondary: 57T15, 55R37, 57R99

References

Forward citations

Publication

Received: 8 November 2001

Revised: 27 November 2001

Accepted: 28 November 2001

Published: 30 November 2001

Authors

Boris Okun
Department of Mathematical Sciences University of Wisconsin–Milwaukee Milwaukee WI 53201 USA

Volume 1, issue 2 (2001)

Boris Okun