Finite energy and totally geodesic maps from locally symmetric spaces of finite volume |
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| Authors: | Jürgen Jost Jiayu Li |
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| Affiliation: | (1) Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstrasse 22-26, D-04103 Leipzig, Germany;(2) Institute of Mathematics, Academia Sinica, 100080 Beijing, People's Republic of China |
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| Abstract: | LetM= G/K be a locally symmetric space of finite volume and rank  2. We show that any map fromM of weighted finite energy in the sense of Saper can be deformed into a finite energy map. As a consequence such maps can be deformed into totally geodesic ones, and a geometric generalization of Margulis' superrigidity theorem is obtained. |
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