Basic invariants of geometric mappings

Abstract

This study is motivated by the researches in the field for invariants of geodesic and conformal mappings presented in T. Y. Thomas, [17] and H. Weyl,[20] . 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.

Novel invariants for almost geodesic mappings of the third type

“…In [20], two invariants for mappings of an associated space analogue to the Weyl projective tensor called the invariants of the Weyl type are obtained. That motivated us to obtain invariants for almost geodesic mappings of the third type of a non-symmetric affine connection space.…”

“…The formulae of invariants for mappings between symmetric and non-symmetric affine connection spaces are obtained in [20]. We will use these formulae to meet the main goals of this paper.…”

“…In [20], invariants for mappings f : GA N → GA N are obtained. If deformation tensor P i jk = L i jk − L i jk of mapping f is…”

“…In Section 3, the invariants for equitorsion almost geodesic mappings of the third type are presented. The method used for obtaining these invariants see [20] , simplified the corresponding method presented by Sinyukov [14] and used latter in [19,21].…”

Novel Invariants for Almost Geodesic Mappings of the Third Type

“…In [19], it is obtained two invariants for mappings of an associated space analogue to the Weyl projective tensor called the invariants of the Weyl type . That motivated us to obtain the invariants for almost geodesic mappings of the third type of a non-symmetric affine connection space with respect to the results obtained in [19].…”