Local rigidity in quaternionic hyperbolic space
Journal of the European Mathematical Society, Tome 11 (2009) no. 6, pp. 1141-1164
Cet article a éte moissonné depuis la source EMS Press
We study deformations of quaternionic hyperbolic lattices in larger quaternionic hyperbolic spaces and prove local rigidity results. On the other hand, surface groups are shown to be more flexible in quaternionic hyperbolic plane than in complex hyperbolic plane.
Classification :
51-XX, 57-XX, 00-XX
Keywords: Quaternionic hyperbolic space, rank one symmetric space, quasifuchsian representation, bending, rigidity, group cohomology
Keywords: Quaternionic hyperbolic space, rank one symmetric space, quasifuchsian representation, bending, rigidity, group cohomology
@article{JEMS_2009_11_6_a0,
author = {Inkang Kim and Pierre Pansu},
title = {Local rigidity in quaternionic hyperbolic space},
journal = {Journal of the European Mathematical Society},
pages = {1141--1164},
year = {2009},
volume = {11},
number = {6},
doi = {10.4171/jems/177},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/177/}
}
TY - JOUR AU - Inkang Kim AU - Pierre Pansu TI - Local rigidity in quaternionic hyperbolic space JO - Journal of the European Mathematical Society PY - 2009 SP - 1141 EP - 1164 VL - 11 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/177/ DO - 10.4171/jems/177 ID - JEMS_2009_11_6_a0 ER -
Inkang Kim; Pierre Pansu. Local rigidity in quaternionic hyperbolic space. Journal of the European Mathematical Society, Tome 11 (2009) no. 6, pp. 1141-1164. doi: 10.4171/jems/177
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