On the classification of almost contact metric manifolds

被引：3
|
作者：
Martin Cabrera, Francisco [1 ]
机构：
[1] Univ La Laguna, Dept Matemat Estadist & Invest Operat, Tenerife 38200, Spain
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2019年 / 64卷
关键词：
Almost contact; G-connection; Intrinsic torsion; Minimal connection; Lee form;
D O I：
10.1016/j.difgeo.2019.02.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
On connected manifolds of dimension higher than three, the non-existence of 132 Chinea and Gonzalez-Davila types of almost contact metric structures is proved. This is a consequence of some interrelations among components of the intrinsic torsion of an almost contact metric structure. Such interrelations allow to describe the exterior derivatives of some relevant forms in the context of almost contact metric geometry. (C) 2019 Elsevier B.V. All rights reserved.
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页码：13 / 28
页数：16
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