Marked length rigidity for symmetric spaces |
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| Authors: | F Dal‚Bo I Kim |
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| Institution: | 1.Université de Rennes 1, Institut de Recherche Mathématique de Rennes, Campus de Beaulieu, 35042 Rennes cedex, France, e-mail: dalbo@univ-rennes1.fr ,FR;2.Department of Mathematics, Seoul National University, 151-741 Seoul, Korea,? e-mail: inkang@math.snu.ac.kr ,KR |
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| Abstract: | We give conditions under which a homomorphism between two Zariski dense subgroups of connected semisimple Lie groups G and G' without compact factors and with trivial center can be extended to a continuous isomorphism between G and G'. In particular we prove the marked length rigidity and the marked translation vector rigidity. This last result was motivated
by a Margulis‚s question.
Received: September 18, 2001 |
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| Keywords: | , Symmetric spaces, length spectrum, |
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