#### Volume 12, issue 2 (2008)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement Author Index To Appear ISSN (electronic): 1364-0380 ISSN (print): 1465-3060 Other MSP Journals
Hyperbolic $2$–dimensional manifolds with $3$–dimensional automorphism group

### Alexander V Isaev

Geometry & Topology 12 (2008) 643–711
##### Bibliography
 1 D N Akhiezer, S G Gindikin, On Stein extensions of real symmetric spaces, Math. Ann. 286 (1990) 1 MR1032920 2 A V Alekseevsky, D V Alekseevsky, Riemannian $G$–manifold with one-dimensional orbit space, Ann. Global Anal. Geom. 11 (1993) 197 MR1237453 3 E Cartan, Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes II, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (2) 1 (1932) 333 MR1556687 4 E Cartan, Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes I, Ann. Mat. Pura Appl. 11 (1933) 17 MR1553196 5 D van Dantzig, B L van der Waerden, Über metrisch homogene Räume, Abh. Math. Sem. Hamburg 6 (1928) 367 6 G Fels, A Huckleberry, Characterization of cycle domains via Kobayashi hyperbolicity, Bull. Soc. Math. France 133 (2005) 121 MR2145022 7 J A Gifford, A V Isaev, S G Krantz, On the dimensions of the automorphism groups of hyperbolic Reinhardt domains, Illinois J. Math. 44 (2000) 602 MR1772432 8 A V Isaev, Hyperbolic manifolds of dimension $n$ with automorphism group of dimension $n^2-1$, J. Geom. Anal. 15 (2005) 239 MR2152482 9 A V Isaev, Analogues of Rossi's map and E Cartan's classification of homogeneous strongly pseudoconvex 3–dimensional hypersurfaces, J. Lie Theory 16 (2006) 407 MR2248138 10 A V Isaev, Hyperbolic $n$–dimensional manifolds with automorphism group of dimension $n^2$, Geom. Funct. Anal. 17 (2007) 192 MR2306656 11 A V Isaev, S G Krantz, On the automorphism groups of hyperbolic manifolds, J. Reine Angew. Math. 534 (2001) 187 MR1831637 12 A V Isaev, N G Kruzhilin, Effective actions of the unitary group on complex manifolds, Canad. J. Math. 54 (2002) 1254 MR1940238 13 A V Isaev, N G Kruzhilin, Effective actions of $\mathrm{SU}_n$ on complex $n$–dimensional manifolds, Illinois J. Math. 48 (2004) 37 MR2048213 14 W Kaup, Reelle Transformationsgruppen und invariante Metriken auf komplexen Räumen, Invent. Math. 3 (1967) 43 MR0216030 15 K T Kim, L Verdiani, Complex $n$–dimensional manifolds with a real $n^2$–dimensional automorphism group, J. Geom. Anal. 14 (2004) 701 MR2111425 16 S Kobayashi, Hyperbolic manifolds and holomorphic mappings, Pure and Applied Mathematics 2, Marcel Dekker (1970) MR0277770 17 S Kobayashi, Transformation groups in differential geometry, Springer (1972) MR0355886 18 S B Myers, N E Steenrod, The group of isometries of a Riemannian manifold, Ann. of Math. $(2)$ 40 (1939) 400 MR1503467 19 H Rossi, Attaching analytic spaces to an analytic space along a pseudoconcave boundary, from: "Proc. Conf. Complex Analysis (Minneapolis, 1964)", Springer (1965) 242 MR0176106 20 R Schoen, On the conformal and CR automorphism groups, Geom. Funct. Anal. 5 (1995) 464 MR1334876