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几何拓扑学术报告:Lie Derivatives and Some Applications in Finsler geometry

来源:数学系  作者:崔宁伟     日期:2017/10/25 11:44:09   点击数:415  

Title:Lie Derivatives and Some Applications in Finsler geometry


Abstract:Lie derivative is a useful tool in the study of some special vector fields in Finsler geometry. Classical Lie derivative acts on tensor fields of a manifold. For some applications, Lie derivative can be generalized to act on general geometric objects (not necessarily a tensor) defined along curves on a manifold.

In this talk, we will give the definition of Lie derivative acting on geometric objects and give some useful formulas of Lie derivative acting on spray tensors and in paricular on some curvature tensors of a Finsler metric. Besides, we will also show some applications of Lie derivative in the study of some special vector fields in Finsler geometry, for instance, conformal/projective/concircular vector fields.



报告人:杨国俊    副教授(四川大学)


时间:2017-10-27,星期五,上午10:00-11:30


地点:教研室 X2109


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