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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

7 votes
2 answers
1k views

Kahler manifolds with constant bisectional curvature

It is well known that the universal covering of a complete Kahler manifold with constant bisectional curvature is $\mathbb{C}^n$, $\mathbb{B}^n$ or $\mathbb{CP}^n$. I need original paper(s) that prove …
Reza's user avatar
  • 105
3 votes
1 answer
4k views

Relationship between sectional curvature, bisectional curvature and conjugate points

Tian has defined bisectional curvature for unit and perpendicular tangent vectors $X,Y$ as follow $$R(X,Y,X,Y)+R(X,JY,X,JY).$$ If bisectional curvature be constant, is there any relationship between s …
Reza's user avatar
  • 105