Results 11 to 20 of about 31 (26)

Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension

, 2017
We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension $n\ge 2$ whose holomorphic automorphism group has dimension $n^2-3$. This result complements existing classifications for automorphism group dimension $n^2-2$ (which is in
Isaev, Alexander
core  

Homogeneous Kobayashi-hyperbolic manifolds with high-dimensional group of holomorphic automorphisms

, 2017
We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension $n\ge 2$ whose holomorphic automorphism group has dimension $n^2-2$.
Isaev, Alexander
core  

Hyperbolic manifolds of dimension $n$ with automorphism group of dimension $n^2-1$

, 2005
We consider complex Kobayashi-hyperbolic manifolds of dimension $n\ge 2$ for which the dimension of the group of holomorphic automorphisms is equal to $n^2-1$.
Isaev, A. V.
core   +6 more sources

Hyperbolic $n$-dimensional manifolds with automorphism group of dimension $n^2$

, 2005
We obtain a complete classification of complex Kobayashi-hyperbolic manifolds of dimension $n\ge 2$, for which the dimension of the group of holomorphic automorphisms is equal to $n^2$.Comment: 32 pages, to appear in ...
Isaev, A. V.
core   +5 more sources

Further steps towards classifying homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group

, 2018
We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension $n\ge 4$ whose group of holomorphic automorphisms has dimension either $n^2-4$, or $n^2-5$, or $n^2-6$.
Isaev, Alexander
core  

On a certain class of homogeneous projectively flat manifolds

Tohoku Mathematical Journal, 1987
Katsumi Nomizu, Ulrich Pinkall
exaly  

Complex parallelisable manifolds and their small deformations

Journal of Differential Geometry, 1975
exaly  

Homogeneous Koszul manifolds in ${\bf C}\sp n$

Journal of Differential Geometry, 1992
Richard Penney
exaly  

On some series of regular irreducible prehomogeneous vector spaces

Proceedings of the Japan Academy Series A: Mathematical Sciences, 1979
Masakazu Muro
exaly  

Curvature operator of the Bergman metric on a homogeneous bounded domain

Tohoku Mathematical Journal, 1985
Kazuo Azukawa
exaly