참고문헌
- L. Ahlfors, Finitely generated Kleinian groups, Amer. J. Math. 86 (1964), 413-429 https://doi.org/10.2307/2373173
- W. Ballmann, M. Gromov, and V. Schroeder, Manifolds of nonpositive curvature, Progress in Mathematics, 61. Birkhauser Boston, Inc., Boston, MA, 1985
- G. Besson, G. Courtois, and S. Gllot, Entropies et rigidites des espaces localement symetriques de courbure strictement negative, Geom. Funct. Anal. 5 (1995), no. 5, 731-799 https://doi.org/10.1007/BF01897050
- F. Bonahon, Cobordism of automorphisms of surfaces, Ann. Sci. Ecole Norm. Sup. (4) 16 (1983), no. 2, 237-270
- R. Brooks, P. Perry, and P. Petersen, Spectral geometry in dimension 3, Acta Math. 173 (1994), no. 2, 283-305 https://doi.org/10.1007/BF02398437
- K. Corlette, Archimedean superrigidity and hyperbolic geometry, Ann. of Math. (2) 135 (1992), no. 1, 165-182 https://doi.org/10.2307/2946567
- G. Courtois and Inkang Kim, Isospectral finiteness on geometrically finite hyperbolic :3-manifolds, preprint https://doi.org/10.1002/cpa.20095
- C. Croke and V. Sharafutdinov, Spectral rigidity of a compact negatively curved manifold, Topology 37 (1998), no. 6, 1265-1273 https://doi.org/10.1016/S0040-9383(97)00086-4
- F. Dal'Bo and Inkang Kim, Marked length rigidity for symmetric spaces, Comment. Math. Relv. 77 (2002), no. 2,399-407 https://doi.org/10.1007/s00014-002-8346-y
- D. DeTurck and C. Gordon, Isospectral deformations. II. Trace formulas, metrics, and potentials, Comm. Pure Appl. Math. 42 (1989), no. 8, 1067-1095 https://doi.org/10.1002/cpa.3160420803
- T. Gelander, Homotopy type and volume of locally symmetric manifolds, Duke Math. J. 124 (2004), no. 3, 459-515 https://doi.org/10.1215/S0012-7094-04-12432-7
- C. Gordon and E. Wilson, Isospectral deformations of compact solvmanifolds, J. Differential Geom. 19 (1984), no. 1, 241-256
- U. Hamenstadt, Cocycles, Cocycles, symplectic structures and intersection, Geom. Funct. Anal. 9 (1999), no. 1,90-140 https://doi.org/10.1007/s000390050082
- I. Kim, Marked length rigidity of rank one symmetric spaces and their product, Topology 40 (2001), no. 6, 1295-1323 https://doi.org/10.1016/S0040-9383(00)00012-4
- I. Kim , Ergodic theory and rigidity on the symmetric space of non-compact type, Ergodic Theory Dynam. Systems 21 (2001), no. 1,93-114
- I. Kim, Rigidity and deformation spaces of strictly convex real projective structures on compact manifolds, J. Differential Geom. 58 (2001), no. 2, 189-218
- I. Kim, Rigidity on symmetric spaces, Topology 43 (2004), no. 2, 393-405 https://doi.org/10.1016/S0040-9383(03)00047-8
- I. Kim, Affine action and Margulis invariant, J. Funct. Anal. 219 (2005), no. 1, 205-225 https://doi.org/10.1016/j.jfa.2004.04.011
- I. Kim, Isospectral finiteness on hyperbolic 3-manifolds, Comm. Pure Appl. Math. 59 (2006), no. 5, 617-625 https://doi.org/10.1002/cpa.20095
- I. Kim, C. Lecuire, and K. Ohshika, Convergence of freely decomposable Kleinian groups, submitted
- I. Kim and P. Pansu, Local rigidity of quaternionic hyperbolic lattices, to appear in Journal of European Math Soc
- G. A. Margulis, Discrete subgroups of semisimple Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), Springer-Verlag, Berlin, 1991
- K. Matsuzaki and M. Taniguchi, Hyperbolic manifolds and Kleinian groups, Oxford Mathematical Monographs. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1998
- D. McCullough and A. Miller, Homeomorphisms of 3-manifolds with compressible boundary, Mern, Amer. Math. Soc. 61 (1986), no. 344
- H. P. McKean, Selberg's trace formula as applied to a compact Riemann surface, Comm. Pure Appl. Math. 25 (1972), 225-246 https://doi.org/10.1002/cpa.3160250302
- G. D. Mostow, Strong rigidity of locally symmetric spaces, Annals of Mathematics Studies, No. 78. Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1973
- B. Osgood, R. Phillips, and P. Sarnak, Compact isospectral sets of surfaces, J. Funct. Anal. 80 (1988), no. 1, 212-234 https://doi.org/10.1016/0022-1236(88)90071-7
- J. P. Otal, Le spectre marque des longueurs des surfaces a courbure negative, Ann. of Math. (2) 131 (1990), no. 1, 151-162
- T. Sunada, Riemannian coverings and isospectral manifolds, Ann. of Math. (2) 121 (1985), no. 1, 169-186 https://doi.org/10.2307/1971195
- W. P. Thurston, The geometry and topology of 3-manifolds, lecture notes
- W. P. Thurston, Hyperbolic structures on 3-manifolds, III: Deformations of 3-manifolds with incompressible boundary, prepublication arXiv:math.GT /9801058, 1998
- Y. Colin-de- Verdiere, Spectre du laplacien et longueurs des geodesiques periodiques. I, II, Compositio Math. 27 (1973), 83-106; Compositio Math. 27 (1973), 159-184
- Y. Colin-de- Verdiere, Spectre du laplacien et longueurs des geodesiques periodiques. I, II, Compositio Math. 27 (1973), 159-184
- M. F. Vineras, Varietes riemanniennes isospectrales et non isomeiriques, Ann. of Math. (2) 112 (1980), no. 1, 21-32 https://doi.org/10.2307/1971319
피인용 문헌
- Fundus Examination Rate in Diabetics and the Public Health Factors Associated With Fundus Examination Rate vol.50, pp.9, 2009, https://doi.org/10.3341/jkos.2009.50.9.1319