×

Basic invariants of geometric mappings. (English) Zbl 1463.53024

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.

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.)
PDFBibTeX XMLCite
Full Text: DOI arXiv