SASAKI METRIC ON THE TANGENT BUNDLE OF A WEYL MANIFOLD

被引：3
|
作者：
Bejan, Cornelia-Livia [1 ]
Gul, Ilhan [2 ]
机构：
[1] Gh Adachi Tech Univ, Dept Math, Iasi, Romania
[2] Istanbul Tech Univ, Dept Math, Istanbul, Turkey
来源：
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2018年 / 103卷 / 117期
关键词：
tangent bundle; Sasaki metric; Weyl structure;
D O I：
10.2298/PIM1817025B
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let (M, [g]) be a Weyl manifold of dimension m > 2. By using the Sasaki metric G induced by g, we construct a Weyl structure on T M. Then we prove that it is never Einstein-Weyl unless (M, g) is flat. The main theorem here extends to the Weyl context a result of Musso and Tricerri.
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页码：25 / 32
页数：8
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