对称仿射连接空间f -平面映射的不变量

N. Vesić, A. Mihajlović
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引用次数: 1

摘要

本研究的动机是由于J. Mike和N. s. Sinyukov所涉及的对称仿射连接空间$\mathbb A_N$的平面映射$F$的基本方程的相似性,Mike的研究小组(I. Hinterleitner, P. Pe\v ska, \linebreak J. Str\'ansk\'a)和N. s. Sinyukov所涉及的空间$\mathbb A_N$的几乎测地线映射(特别是第二类几乎测地线映射)已经被许多作者研究过。本文利用N. O. Vesic的公式,得到了特殊平面映射的不变量。这些不变量类似于测地线映射的不变量(Thomas射影参数和Weyl射影张量)。
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INVARIANTS FOR F-PLANAR MAPPINGS OF SYMMETRIC AFFINE CONNECTION SPACES
This research is motivated by similarity of basic equations of $F$-planar mappings of symmetric affine connection space $\mathbb A_N$ involved by J. Mike� and N. S. Sinyukov, and which have been studied by Mike��s research group (I. Hinterleitner, P. Pe\v ska, \linebreak J. Str\'ansk\'a) and almost geodesic mappings (specially almost geodesic mappings of the second type) ofthe space $\mathbb A_N$ involved by N. S. Sinyukov and which have been studied by many authors. We used the formulas obtained by N. O. Vesic to obtain invariants for special $F$-planar mappings in this article. These invariants are analogous to invariants of geodesic mappings (the Thomas projective parameter and the Weyl projective tensor).
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