On manifolds with trivial logarithmic tangent bundle: The non-kahler case

被引:6
作者
Winkelmann, Joerg [1 ]
机构
[1] Univ Bayreuth, Inst Math, D-95447 Bayreuth, Germany
关键词
Isotropy Group; Tangent Bundle; Toric Variety; Compact Complex Manifold; Fundamental Vector;
D O I
10.1007/s00031-008-9003-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study non-Kahler manifolds with trivial logarithmic tangent bundle. We show that each such manifold arises as a fibre bundle with a compact complex parallelizable manifold as basis and a compactficiation of a semi-torus as fibre.
引用
收藏
页码:195 / 209
页数:15
相关论文
共 8 条
[1]  
Borel A., 1963, TOPOLOGY, V2, P111, DOI 10.1016/0040-9383(63)90026-0
[2]  
Fulton W., 1993, ANN MATH STUD, V131
[3]  
IITAKA S, 1981, GRAS TEXTS MATH, V76
[4]   Non Kahlerian equivariant compactifications of an algebraic multiplicative group [J].
Lescure, F ;
Meersseman, L .
ANNALES DE L INSTITUT FOURIER, 2002, 52 (01) :255-+
[5]  
Oda T., 1988, CONVEX BODIES ALGEBR
[6]   COMPLEX PARALLISABLE MANIFOLDS [J].
WANG, HC .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 5 (05) :771-776
[7]  
Winkelmann J, 2004, OSAKA J MATH, V41, P473
[8]  
Winkelmann J., 1998, MEM SOC MATH FR, P72