| 关于Vaisman流形的几个判定定理 |
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| 引用本文： | 杨永举,廖冬.关于Vaisman流形的几个判定定理[J].南阳师范学院学报,2012,11(6):15-17. |
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| 作者姓名： | 杨永举 廖冬 |
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| 作者单位： | 南阳师范学院数学与统计学院,河南南阳,473061 |
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| 基金项目： | 河南省基础与前沿技术研究计划项目，南阳师范学院专项项目 |
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| 摘 要： | 利用Bochner公式和局部共形Khler流形理论知识,主要证明了满足某些条件的局部共形Khler流形一定为Vaisman流形.如：具有非负Ricci曲率且∫m（▽Bω）（B）＊1=0;具有非负Rrcci曲率且dim（H1（M））=1等.同时,文中也给出一个判断非Vaisman流形的充分条件。
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| 关 键 词： | 局部共形Khler流形 Vaisman流形 Lee形式 |
Several judging theorems about Vaisman manifold |
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| YANG Yong-ju,LIAO Dong.Several judging theorems about Vaisman manifold[J].Journal of Nanyang Teachers College,2012,11(6):15-17. |
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| Authors: | YANG Yong-ju LIAO Dong |
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| Institution: | (School of Mathematics and Statistics,Nanyang Normal University,Nanyang 473061,China) |
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| Abstract: | By applications of theory of locally conformally Khler manifold and Bochner formula,we prove that under some conditions,a locally conformal compact Khler manifold must be Vaisman manifold,for example :with ∫M(▽Bω)(B)*1=0 and non-negative Ricci curvature,with non-negative Ricci curvature and dim(H1(M))=1,and that one special method is given which is sufficient to prove non-Vaisman manifold. |
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| Keywords: | locally conformal Khler manifold Vaisman manifold Lee form |
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