On invariant operations on pseudo-Riemannian manifolds. (English) Zbl 0760.53022

Slovák, Jan

Commentat. Math. Univ. Carol. 33, No. 2, 269-276 (1992).

Continuing his previous research [J. Differ. Geom. 36, 633-653 (1992)] the author studies some natural operators homogeneous in weight on oriented pseudo-Riemannian manifolds. In several cases of special tensor fields he deduces a complete classification of all natural operators in question.

Reviewer: I.Kolář (Brno)

MSC:

53B30	Local differential geometry of Lorentz metrics, indefinite metrics
53C05	Connections (general theory)
58A20	Jets in global analysis

Keywords:

Chern form; Pontrjagin form; pseudo-Riemannian manifolds; natural operators