{"title":"对称仿射连接空间f -平面映射的不变量","authors":"N. Vesić, A. Mihajlović","doi":"10.22190/fumi210921019v","DOIUrl":null,"url":null,"abstract":"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).","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"1 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"INVARIANTS FOR F-PLANAR MAPPINGS OF SYMMETRIC AFFINE CONNECTION SPACES\",\"authors\":\"N. Vesić, A. Mihajlović\",\"doi\":\"10.22190/fumi210921019v\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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).\",\"PeriodicalId\":54148,\"journal\":{\"name\":\"Facta Universitatis-Series Mathematics and Informatics\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-08-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Facta Universitatis-Series Mathematics and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22190/fumi210921019v\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Facta Universitatis-Series Mathematics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22190/fumi210921019v","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
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)。
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).