Rigidity of symmetric spaces

Inkang Kim

Séminaire de théorie spectrale et géométrie (1998-1999)

  • Volume: 17, page 129-138
  • ISSN: 1624-5458

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Kim, Inkang. "Rigidity of symmetric spaces." Séminaire de théorie spectrale et géométrie 17 (1998-1999): 129-138. <http://eudml.org/doc/114429>.

@article{Kim1998-1999,
author = {Kim, Inkang},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {Hadamard manifold; symmetric spaces; marked length rigidity; geometric flow; quaternionic space},
language = {eng},
pages = {129-138},
publisher = {Institut Fourier},
title = {Rigidity of symmetric spaces},
url = {http://eudml.org/doc/114429},
volume = {17},
year = {1998-1999},
}

TY - JOUR
AU - Kim, Inkang
TI - Rigidity of symmetric spaces
JO - Séminaire de théorie spectrale et géométrie
PY - 1998-1999
PB - Institut Fourier
VL - 17
SP - 129
EP - 138
LA - eng
KW - Hadamard manifold; symmetric spaces; marked length rigidity; geometric flow; quaternionic space
UR - http://eudml.org/doc/114429
ER -

References

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  1. [1] P. ALBUQUERQUE, Patterson-Sullivan theory in higher rank symmetric spaces, GAFA, vol. 9 ( 1999) 1-28. Zbl0954.53031MR1675889
  2. [2] B. APANASOV and I. KIM, Numerical invariants and deformations in quaternionic and octonionic hyperbolic spaces, submitted. 
  3. [3] Y. BENOIST, Propriété asymptotiques des groupes linéaires, GAFA.vol 7 ( 1997), 1-47. Zbl0947.22003MR1437472
  4. [4] M. BOURDON, Sur le birapport au bord des CAT(-1)-espaces, Publications Mathématiques IHES, n 83 ( 1996), 95-104. Zbl0883.53047MR1423021
  5. [5] B. BOWDITCH, Geometrical finiteness with variable negative curvature, Duke J. Math. 77 ( 1995), 229-274. Zbl0877.57018MR1317633
  6. [6] M. BURGER, Intersection, the Manhattan curve, and Patterson-Sullivan theory in rank 2, Internation Mathematics Research Notices, No. 7 ( 1993), 217-225. Zbl0829.57023MR1230298
  7. [7] K. CORLETTE, Flat G-bundles with canonical metrics. J. Differential Geometry, 28 ( 1988) 361-382. Zbl0676.58007MR965220
  8. [8] W. GOLDMAN, J. MILSON, Local rigidity of discrete groups acting on complex hyperbolic space, Inv. Math., 88, ( 1987), 495-520. Zbl0627.22012MR884798
  9. [9] M. GROMOV, Volume and bounded cohomology, Publ. Math. IHES vol. 56 ( 1982), 5-99. Zbl0516.53046MR686042
  10. [10] Y. KAMISHIMA, Geometric Flows on Compact Manifolds and Global Rigidity, Topology, v. 35, No. 2 ( 1996), 439-450. Zbl0981.53060MR1380509
  11. [11] Y. KAMISHIMA and I. KIM, The Seiberg-Witten theory on quaternionic Kähler manifolds, preprint. 
  12. [12] F. DAL'BO and I. KIM, Marked length rigidity of higher rank symmetric spaces, in preparation. 
  13. [13] F. DAL'BO and I. KIM, Length spectrum of rank one symmetric spaces are not arithmetic, in preparation. 
  14. [14] F. DAL'BO and I. KIM, Geometry on the product of Hadamard manifolds, in preparation. 
  15. [15] I. KIM, Marked length rigidity of symmetric spaces of rank one and their product, submitted. Zbl0997.53034
  16. [16] I. KIM, Ergodic theory and Rigidity on the symmetric space of non-compact type, submitted. Zbl0978.37016
  17. [17] I. KIM, Geometric Flow and Rigidity on Symmetric Spaces of Non-compact Type, to appear in the Trans, of the AMS. Zbl0969.53036
  18. [18] I. KIM, Geometrical finiteness of symmetric spaces of non-compact type, to appear in Forum Math. Zbl1006.53048MR1736092
  19. [19] S. SALAMON, Quaternionic Kähler manifolds, Invent. Math. 67 ( 1982), 143-171. Zbl0486.53048MR664330
  20. [20] J. TITS, Buildings of spherical type and finite BN-pairs, Springer LNM, vol. 386 ( 1974). Zbl0295.20047MR470099
  21. [21] D. TOLEDO, Representations of surface groups in complex hyperbolic space, J. Differential Geometry, 29 ( 1989), 125-133. Zbl0676.57012MR978081
  22. [22] W. THURSTON, Minimal stretch maps between hyperbolic surfaces, preprint. 
  23. [23] W. THURSTON, Three Dimensional Geometry and Topology, The Geometry Center, unpublished manuscript. 
  24. [24] W. THURSTON, Three Dimensional Geometry and Topology, Princeton lecture Notes, 1983. Zbl0873.57001

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