On infinitesimal conformal transformations of the tangent bundles with the synectic lift of a Riemannian metric

被引：0

作者：

Aydin Gezer

机构：

[1] Ataturk University,Department of Mathematics, Faculty of Science and Arts

来源：

Proceedings - Mathematical Sciences | 2009年 / 119卷

关键词：

Fibre-preserving vector fields; infinitesimal projective transformations; Riemannian metric; synectic lift;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The purpose of the present article is to investigate some relations between the Lie algebra of the infinitesimal fibre-preserving conformal transformations of the tangent bundle of a Riemannian manifold with respect to the synectic lift of the metric tensor and the Lie algebra of infinitesimal projective transformations of the Riemannian manifold itself.

引用

页码：345 / 350

页数：5

共 8 条

[1] Hasegawa I.(2003)Infinitesimal conformal transformations on tangent bundles with the lift metric I + II Scientiae Mathematicae Japonicae 57 129-137
[2] Yamauchi K.(1992)Conformal-holomorphic metrics Tensor, New Ser. 51 26-32
[3] Pavlov E.(1979)On holomorphically projective transformations in a tangent bundle Trudy Geom. Sem. Kazan. Univ. 11 111-114
[4] Shirokov A. P.(1975)A remark on a certain metric in the tangent bundle Izv. Vyss. Uchebn. Zaved. Math. 6 143-146
[5] Talantova N. V.(1994)On infinitesimal conformal transformations of the tangent bundles over Riemannian manifolds Ann Rep. Asahikawa. Med. Coll. 15 1-10
[6] Shirokov A. P.(1996)On infinitesimal conformal transformations of the tangent bundles with the metric I+II over Riemannian manifolds Ann Rep. Asahikawa. Med. Coll. 17 1-7
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