The density property for complex manifolds and geometric structures

2001 ◽  
Vol 11 (1) ◽  
pp. 135-160 ◽  
Author(s):  
Dror Varolin
2007 ◽  
Vol 172 (1) ◽  
pp. 71-87 ◽  
Author(s):  
Shulim Kaliman ◽  
Frank Kutzschebauch

2016 ◽  
Vol 27 (11) ◽  
pp. 1650094 ◽  
Author(s):  
Indranil Biswas ◽  
Sorin Dumitrescu

Our aim here is to investigate the holomorphic geometric structures on compact complex manifolds which may not be Kähler. We prove that holomorphic geometric structures of affine type on compact Calabi–Yau manifolds with polystable tangent bundle (with respect to some Gauduchon metric on it) are locally homogeneous. In particular, if the geometric structure is rigid in Gromov’s sense, then the fundamental group of the manifold must be infinite. We also prove that compact complex manifolds of algebraic dimension one bearing a holomorphic Riemannian metric must have infinite fundamental group.


1998 ◽  
Author(s):  
John H. Weare ◽  
Ryoichi Kawai ◽  
Beth Ong

1985 ◽  
Vol 189 (3) ◽  
pp. 343-363 ◽  
Author(s):  
Giorgio Patrizio

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