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Search: MSC category 32M17 ( Automorphism groups of ${\bf C}^n$ and affine manifolds )

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1. CJM 2016 (vol 69 pp. 220)

Zheng, Tao
 The Chern-Ricci Flow on Oeljeklaus-Toma Manifolds We study the Chern-Ricci flow, an evolution equation of Hermitian metrics, on a family of Oeljeklaus-Toma (OT-) manifolds which are non-KÃ¤hler compact complex manifolds with negative Kodaira dimension. We prove that, after an initial conformal change, the flow converges, in the Gromov-Hausdorff sense, to a torus with a flat Riemannian metric determined by the OT-manifolds themselves. Keywords:Chern-Ricci flow, Oeljeklaus-Toma manifold, Calabi-type estimate, Gromov-Hausdorff convergenceCategories:53C44, 53C55, 32W20, 32J18, 32M17

2. CJM 2002 (vol 54 pp. 1254)

Isaev, A. V.; Kruzhilin, N. G.
 Effective Actions of the Unitary Group on Complex Manifolds We classify all connected $n$-dimensional complex manifolds admitting effective actions of the unitary group $U_n$ by biholomorphic transformations. One consequence of this classification is a characterization of $\CC^n$ by its automorphism group. Keywords:complex manifolds, group actionsCategories:32Q57, 32M17
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