On locally conformal Kähler structures

  • Toyoko Kashiwada
Part of the Mathematics and Its Applications book series (MAIA, volume 350)


A locally conformal Kähler manifold is introduced in [7] as a Hermitian manifold whose metric is locally conformal to a Kähler metric. As a special case, a generalized Hopf manifold has been introduced, which is topologically different from a Kähler manifold if it is compact. In the first half of this paper, we will discuss the Riemannian curvature tensor of a generalized Hopf manifold in the case when holomorphic sectional curvature is constant except for a certain section. In the second half, we study a Riemannian manifold which admits more than one locally conformal Kähler structures with some relations.


Curvature Tensor Betti Number Ricci Tensor Null Vector Hermitian Manifold 
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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Toyoko Kashiwada
    • 1
  1. 1.Department of Information ScienceSaitama CollegeKazo-shi, Saitama 347Japan

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