Einstein-Weyl Structure and Contact Geometry

被引：0
|
作者：
Ghosh, Amalendu [1 ]
机构：
[1] Chandernagore Coll, Dept Math, Chandannagar 712136, W Bengal, India
来源：
RESULTS IN MATHEMATICS | 2022年 / 77卷 / 02期
关键词：
Contact metric manifold; (k; mu)-contact manifold; closed Einstein-Weyl structure; K-contact manifold; Sasakian manifold; MANIFOLDS;
D O I：
10.1007/s00025-021-01596-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study Einstein-Weyl structure on K-contact and contact metric manifolds satisfying certain condition on the Weyl curvature tensor and prove that these are Einstein and Sasakian. Next, we prove that a (k, mu)-contact manifold admitting a closed Einstein-Weyl structure is either locally isometric up to a D-homothetic transformation to the unit tangent bundle of some space of constant curvature not equal 1, or is compact Einstein and Sasakian.
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