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Finsler空间的广义射影变换和无穷小广义射影变换
引用本文:张上伟.Finsler空间的广义射影变换和无穷小广义射影变换[J].福建师范大学学报(自然科学版),1998(3).
作者姓名:张上伟
作者单位:中国农业发展银行福建省分行
摘    要:把Finsler空间中保持测地线性质的变换推广为在一般Finsler联络下保持道路性质的变换,获得了包括广义Weyl张量在内的若干个不变张量,并用它们的李导数研究无穷小广义射影变换.

关 键 词:Finsler空间,射影变换,广义射影变换,无穷小

Generalized Projective Transformations and Infinitesimal Generalized Transformations in Finsler Space
Zhang,Shangwei.Generalized Projective Transformations and Infinitesimal Generalized Transformations in Finsler Space[J].Journal of Fujian Teachers University(Natural Science),1998(3).
Authors:Zhang  Shangwei
Abstract:The concept of projective transformation in a Finisler space,which is a diffeomorphism leaving the geodesic property invariant,is generalized to the Finsler space possessing only a geneial Finsler connection,without metric function.The generalized projective transformation in a finsler space M is defined as a diffeomorphism from M to itself,leaving the path property invariant.The author gets several invariant tensors or their Lie derivatives used to study the generalized Berwald space and the infinitesimal generalized projective transformation.
Keywords:Finsler  space  projective  transformation  generalized  projective  transformation  infinitesimal
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