广义等距空间的保角映射和测地线映射

Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI:10.2298/PIM1512071N

Marija S. Najdanovic, M. Zlatanovic, I. Hinterleitner

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引用次数: 9

摘要

考虑广义等距空间的共形映射和测地线映射。我们证明了上述非平凡映射的存在性，并构造了三维广义等距空间的共形映射和测地线映射的例子。此外，我们还发现了广义等距空间的特殊测地线映射的一些不变对象(三个张量和四个非张量)。[南斯拉夫]塞族共和国部长项目;174012]

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Conformal and geodesic mappings of generalized equidistant spaces

We consider conformal and geodesic mappings of generalized equidistant spaces. We prove the existence of mentioned nontrivial mappings and construct examples of conformal and geodesic mapping of a 3-dimensional generalized equidistant space. Also, we find some invariant objects (three tensors and four which are not tensors) of special geodesic mapping of generalized equidistant space. [Projekat Ministarstva nauke Republike Srbije, br. 174012]

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Publications De L'institut Mathematique

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