Vesić, Nenad O. Basic invariants of geometric mappings. (English) Zbl 1463.53024 Miskolc Math. Notes 21, No. 1, 473-487 (2020). Summary: This study is motivated by the researches in the field for invariants of geodesic and conformal mappings presented in [T. Y. Thomas, Proc. Natl. Acad. Sci. USA 11, 199–203 (1925; JFM 51.0569.03); H. Weyl, Nachr. Ges. Wiss. Göttingen, Math.-Phys. Kl. 1921, 99–112 (1921; JFM 48.0844.04)]. The Thomas projective parameter and the Weyl projective tensor are generalized in this article. Generators for vector spaces of invariants of geometric mappings are obtained in here. Cited in 1 ReviewCited in 2 Documents MSC: 53A55 Differential invariants (local theory), geometric objects 53B05 Linear and affine connections 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) Keywords:invariant of mapping; affine connection; Thomas projective parameter; Weyl projective tensor; curvature tensor; affine connection Citations:JFM 51.0569.03; JFM 48.0844.04 PDFBibTeX XMLCite \textit{N. O. Vesić}, Miskolc Math. Notes 21, No. 1, 473--487 (2020; Zbl 1463.53024) Full Text: DOI arXiv