scholarly journals Metrics of constant positive curvature with four conic singularities on the sphere

2020 ◽  
Vol 148 (9) ◽  
pp. 3957-3965 ◽  
Author(s):  
Alexandre Eremenko

2001 ◽  
Vol 25 (3) ◽  
pp. 183-195 ◽  
Author(s):  
Vasile Oproiu

We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant. Similar results are obtained for a tube around zero section in the tangent bundle, in the case of the Riemannian manifolds of constant positive curvature.











2007 ◽  
Vol 44 (4) ◽  
pp. 799-807
Author(s):  
Hosein Abedi ◽  
Seyed Mohammad Bagher Kashani




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