Basic Morse-Novikov cohomology for foliations

被引：4
|
作者：
Ornea, Liviu [1 ,2 ]
Slesar, Vladimir [3 ]
机构：
[1] Univ Bucharest, Fac Math, 14 Acad Str, Bucharest 70109, Romania
[2] Romanian Acad, Inst Math Simion Stoilow, 21 Calea Grivitei Str, Bucharest 010702, Romania
[3] Univ Craiova, Dept Math, 13 Al I Cuza Str, Craiova 200585, Romania
来源：
MATHEMATISCHE ZEITSCHRIFT | 2016年 / 284卷 / 1-2期
关键词：
Riemannian foliations; Morse-Novikov cohomology; Locally conformally symplectic manifolds; LAPLACIAN; CURVATURE; OPERATOR; THEOREMS;
D O I：
10.1007/s00209-016-1662-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we find sufficient conditions for the vanishing of the Morse-Novikov cohomology on Riemannian foliations. We work out a Bochner technique for twisted cohomological complexes, obtaining corresponding vanishing results. Also, we generalize for our setting vanishing results from the case of closed Riemannian manifolds. Several examples are presented, along with applications in the context of l.c.s. and l.c.K. foliations.
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页码：469 / 489
页数：21
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