Open AccessLocal rigidity in quaternionic hyperbolic space
Author(s) -
Инканг Ким,
Pierre Pansu
Publication year - 2009
Publication title -
journal of the european mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.549
H-Index - 64
eISSN - 1435-9863
pISSN - 1435-9855
DOI - 10.4171/jems/177
Subject(s) - mathematics , rigidity (electromagnetism) , hyperbolic space , pure mathematics , space (punctuation) , mathematical analysis , linguistics , philosophy , structural engineering , engineering
In this note, we study deformations of quaternionic hyperbolic lattices inlarger quaternionic hyperbolic spaces and prove local rigidity results. On theother hand, surface groups are shown to be more flexible in quaternionichyperbolic plane than in complex hyperbolic plane.
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