A. Ya. Sultanov, O. A. Monakhova, “Semisymmetric horizontal lifts of linear connections from the base to the bundle of doubly covariant tensors”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2020, Volume 180,Pages <nobr>96

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Semisymmetric horizontal lifts of linear connections from the base to the bundle of doubly covariant tensors

A. Ya. Sultanov, O. A. Monakhova

Penza State University

Abstract: In this paper, we obtain necessary and sufficient conditions under which the horizontal lift of a linear connection on the bundle of doubly covariant tensors is a semisymmetric connection.

Keywords: bundle of doubly covariant tensors, horizontal lift of a linear connection, semisymmetric connection.

UDC: 514.76

MSC: 53B05, 53A55

DOI: 10.36535/0233-6723-2020-180-96-102