Marked length rigidity of rank one symmetric spaces and their product

Cited 24 time in webofscience Cited 24 time in scopus
  • Hit : 277
  • Download : 0
In this paper we show that if two Zariski dense representations, from a group G into Iso(X) where X is rank one symmetric space, have the proportional marked length spectrum, then they are conjugate. As a generalization we show that a Zariski dense representation into the isometry group of the product of rank one symmetric spaces is determined by the marked cross ratio. (C) 2001 Elsevier Science Ltd. All rights reserved.
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Issue Date
2001-11
Language
English
Article Type
Article
Keywords

CARNOT-CARATHEODORY METRICS; NEGATIVE CURVATURE; FLOWS

Citation

TOPOLOGY, v.40, no.6, pp.1295 - 1323

ISSN
0040-9383
DOI
10.1016/S0040-9383(00)00012-4
URI
http://hdl.handle.net/10203/81178
Appears in Collection
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 24 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0