p-Geodesic transformations and their groups in second-order tangent bundles induced by concircular transformations of bases

被引：0
|
作者：
K. M. Zubrilin
机构：
[1] Odessa National University,
来源：
Ukrainian Mathematical Journal | 2009年 / 61卷
关键词：
Tangent Bundle; Riemannian Space; Geodesic Curve; Basis Manifold; Conformal Killing;
D O I：
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中图分类号：
学科分类号：
摘要：
We investigate the flattening properties of the Lie group GrII of transformations of a second-order tangent bundle T2(M) equipped with the lift ∇II of an affine connection ∇ and the lift gII of a metric g on the base of M induced by the Lie group Gr of concircular transformations of the base of M. The obtained results reveal certain geometric features of the induced group GrII within the framework of the theory of p-geodesic mappings.
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页码：414 / 434
页数：20
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