Finsler空间的广义射影变换和无穷小广义射影变换

Generalized Projective Transformations and Infinitesimal Generalized Transformations in Finsler Space

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．

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.