On rank one symmetric space

Inkang Kim

Séminaire de théorie spectrale et géométrie (2004-2005)

  • Volume: 23, page 125-130
  • ISSN: 1624-5458

Abstract

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In this paper we survey some recent results on rank one symmetric space.

How to cite

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Kim, Inkang. "On rank one symmetric space." Séminaire de théorie spectrale et géométrie 23 (2004-2005): 125-130. <http://eudml.org/doc/11207>.

@article{Kim2004-2005,
abstract = {In this paper we survey some recent results on rank one symmetric space.},
author = {Kim, Inkang},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {rank one symmetric space; hyperbolic three manifold; rigidity},
language = {eng},
pages = {125-130},
publisher = {Institut Fourier},
title = {On rank one symmetric space},
url = {http://eudml.org/doc/11207},
volume = {23},
year = {2004-2005},
}

TY - JOUR
AU - Kim, Inkang
TI - On rank one symmetric space
JO - Séminaire de théorie spectrale et géométrie
PY - 2004-2005
PB - Institut Fourier
VL - 23
SP - 125
EP - 130
AB - In this paper we survey some recent results on rank one symmetric space.
LA - eng
KW - rank one symmetric space; hyperbolic three manifold; rigidity
UR - http://eudml.org/doc/11207
ER -

References

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  1. I. Belegradek, On Mostow rigidity for variable negative curvature, Topology, 41 (2) (2002), 341-361. Zbl1039.53047MR1876894
  2. G. Besson, G. Courtois, S. Gallot, Entropies et Rigidités des Espaces localement symétriques de courbure strictement négative, GAFA. 5 (5) (1995), 731-799. Zbl0851.53032MR1354289
  3. R. Brooks, P. Perry and P. Petersen, Spectral geometry in dimension 3, Acta Math., vol 173 (2) (1994), 283-305. Zbl0814.53030MR1301395
  4. K. Corlette, Flat G -bundles with canonical metrics, J. Diff. Geom. vol 28 (1988), no. 3, 361-382. Zbl0676.58007MR965220
  5. G. Courtois and I. Kim, Isospectral finiteness on rank one manifolds, in preparation. 
  6. F. Dal’Bo and I. Kim, Marked length rigidity of symmetric spaces, Comm. Math. Helvetici, vol 77 (2) (2002), 399-407. Zbl1002.22005
  7. T. Gelander, Homotopy type and volume of locally symmetric manifolds, Duke Math. J. vol 124 (2004), no. 3, 459-515. Zbl1076.53040MR2084613
  8. I. Kim, C. Lecuire and K. Ohshika, Convergence of freely decomposable Kleinian groups, to appear. Zbl06581676
  9. I. Kim, Rigidity on symmetric spaces, Topology, vol 43 (2) (2004), 393-405. Zbl1049.53031MR2052969
  10. I. Kim, Isospectral finiteness on hyperbolic 3-manifolds, to appear in Comm. Pure. Appl. Math. Zbl1102.53028MR2172803
  11. I. Kim and P. Pansu, Local rigidity of quaternionic hyperbolic lattices, in preparation. Zbl1203.53046
  12. H.P. McKean, Selberg’s trace formula as applied to a compact Riemann surface, Comm. Pure. Appl. Math., 25 (1972), 225-246. 
  13. B. Osgood, R. Phillips and P. Sarnak, Compact isospectral sets of surfaces, J. Funct. Anal, vol 80 (1) (1988), 212-234. Zbl0653.53021MR960229
  14. D. Sullivan,On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions, in Riemann surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference. Annals of Math. Studies 97. Princeton, 1981. Zbl0567.58015MR624833

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