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  • Séminaire de théorie spectrale et géométrie
  • Tome 17 (1998-1999)
  • p. 129-138
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Rigidity of symmetric spaces
Inkang Kim
Séminaire de théorie spectrale et géométrie, Tome 17 (1998-1999), pp. 129-138.
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DOI : 10.5802/tsg.211
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@article{TSG_1998-1999__17__129_0,
     author = {Inkang Kim},
     title = {Rigidity of symmetric spaces},
     journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
     pages = {129--138},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {17},
     year = {1998-1999},
     doi = {10.5802/tsg.211},
     zbl = {0959.53019},
     mrnumber = {1752702},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.211/}
}
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AU  - Inkang Kim
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JO  - Séminaire de théorie spectrale et géométrie
PY  - 1998-1999
SP  - 129
EP  - 138
VL  - 17
PB  - Institut Fourier
PP  - Grenoble
UR  - https://proceedings.centre-mersenne.org/articles/10.5802/tsg.211/
DO  - 10.5802/tsg.211
LA  - en
ID  - TSG_1998-1999__17__129_0
ER  - 
%0 Journal Article
%A Inkang Kim
%T Rigidity of symmetric spaces
%J Séminaire de théorie spectrale et géométrie
%D 1998-1999
%P 129-138
%V 17
%I Institut Fourier
%C Grenoble
%U https://proceedings.centre-mersenne.org/articles/10.5802/tsg.211/
%R 10.5802/tsg.211
%G en
%F TSG_1998-1999__17__129_0
Inkang Kim. Rigidity of symmetric spaces. Séminaire de théorie spectrale et géométrie, Tome 17 (1998-1999), pp. 129-138. doi : 10.5802/tsg.211. https://proceedings.centre-mersenne.org/articles/10.5802/tsg.211/
  • Bibliographie
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[1] P. Albuquerque, Patterson-Sullivan theory in higher rank symmetric spaces, GAFA, vol. 9 ( 1999) 1-28. | MR | Zbl

[2] B. Apanasov and I. Kim, Numerical invariants and deformations in quaternionic and octonionic hyperbolic spaces, submitted.

[3] Y. Benoist, Propriété asymptotiques des groupes linéaires, GAFA.vol 7 ( 1997), 1-47. | MR | Zbl

[4] M. Bourdon, Sur le birapport au bord des CAT(-1)-espaces, Publications Mathématiques IHES, n 83 ( 1996), 95-104. | Numdam | MR | Zbl

[5] B. Bowditch, Geometrical finiteness with variable negative curvature, Duke J. Math. 77 ( 1995), 229-274. | MR | Zbl

[6] M. Burger, Intersection, the Manhattan curve, and Patterson-Sullivan theory in rank 2, Internation Mathematics Research Notices, No. 7 ( 1993), 217-225. | MR | Zbl

[7] K. Corlette, Flat G-bundles with canonical metrics. J. Differential Geometry, 28 ( 1988) 361-382. | MR | Zbl

[8] W. Goldman, J. Milson, Local rigidity of discrete groups acting on complex hyperbolic space, Inv. Math., 88, ( 1987), 495-520. | MR | Zbl

[9] M. Gromov, Volume and bounded cohomology, Publ. Math. IHES vol. 56 ( 1982), 5-99. | Numdam | MR | Zbl

[10] Y. Kamishima, Geometric Flows on Compact Manifolds and Global Rigidity, Topology, v. 35, No. 2 ( 1996), 439-450. | MR | Zbl

[11] Y. Kamishima and I. Kim, The Seiberg-Witten theory on quaternionic Kähler manifolds, preprint.

[12] F. Dal'Bo and I. Kim, Marked length rigidity of higher rank symmetric spaces, in preparation.

[13] F. Dal'Bo and I. Kim, Length spectrum of rank one symmetric spaces are not arithmetic, in preparation.

[14] F. Dal'Bo and I. Kim, Geometry on the product of Hadamard manifolds, in preparation.

[15] I. Kim, Marked length rigidity of symmetric spaces of rank one and their product, submitted.

[16] I. Kim, Ergodic theory and Rigidity on the symmetric space of non-compact type, submitted. | Zbl

[17] I. Kim, Geometric Flow and Rigidity on Symmetric Spaces of Non-compact Type, to appear in the Trans, of the AMS. | Zbl

[18] I. Kim, Geometrical finiteness of symmetric spaces of non-compact type, to appear in Forum Math. | MR | Zbl

[19] S. Salamon, Quaternionic Kähler manifolds, Invent. Math. 67 ( 1982), 143-171. | MR | Zbl

[20] J. Tits, Buildings of spherical type and finite BN-pairs, Springer LNM, vol. 386 ( 1974). | MR | Zbl

[21] D. Toledo, Representations of surface groups in complex hyperbolic space, J. Differential Geometry, 29 ( 1989), 125-133. | MR | Zbl

[22] W. Thurston, Minimal stretch maps between hyperbolic surfaces, preprint.

[23] W. Thurston, Three Dimensional Geometry and Topology, The Geometry Center, unpublished manuscript.

[24] W. Thurston, Three Dimensional Geometry and Topology, Princeton lecture Notes, 1983. | Zbl

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