Geodesic
Hyperbolic Manifolds with High-Dimensional Automorphism Group
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and applications, Tome 253 (2006), pp. 245-266

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We survey our recent classification results for Kobayashi-hyperbolic $n$-dimensional manifolds with holomorphic automorphism group of dimension at least $n^2-1$ for $n\ge 2$. 
@article{TM_2006_253_a18,
     author = {A. V. Isaev},
     title = {Hyperbolic {Manifolds} with {High-Dimensional} {Automorphism} {Group}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {245--266},
     publisher = {mathdoc},
     volume = {253},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2006_253_a18/}
}
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A. V. Isaev. Hyperbolic Manifolds with High-Dimensional Automorphism Group. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and applications, Tome 253 (2006), pp. 245-266. http://geodesic.mathdoc.fr/item/TM_2006_253_a18/