Remarks on natural differential operators with tensor fields. (English) Zbl 1513.58003

Janyška, Josef

Arch. Math., Brno 55, No. 5, 289-308 (2019).

Summary: We study natural differential operators transforming two tensor fields into a tensor field. First, it is proved that all bilinear operators are of order one, and then we give the full classification of such operators in several concrete situations.

MSC:

58A32

Natural bundles

Keywords:

tensor field; natural differential operator; Lie derivative; Yano-Ako operator

References:

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