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Locally conformally Kahler metrics obtained from pseudoconvex shells
Liviu Ornea, Misha Verbitsky
A locally conformally Kahler (LCK) manifold is a complex manifold admitting a Kahler covering M, such that its monodromy acts on this covering by homotheties. A compact LCK manifol…
Spin(9) geometry of the octonionic Hopf fibration
Liviu Ornea, Maurizio Parton, Paolo Piccinni +1
We deal with Riemannian properties of the octonionic Hopf fibration S^{15}-->S^8, in terms of the structure given by its symmetry group Spin(9). In particular, we show that any ver…
Holomorphic submersions of locally conformally Kähler manifolds
Liviu Ornea, Maurizio Parton, Victor Vuletescu
A locally conformally Kähler (LCK) manifold is a complex manifold covered by a Kähler manifold, with the covering group acting by homotheties. We show that if such a compact manifo…