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.

引用

页码：25 / 32

页数：8

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