S. V. Galaev, “Geometry of almost <nobr>$3$</nobr>-quasi-Sasakian manifolds of the second kind”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2023, Volume 222,Pages <nobr>3

This article is cited in 1 paper

Geometry of almost $3$-quasi-Sasakian manifolds of the second kind

S. V. Galaev

Saratov State University

Abstract: In this paper, we define the structure of an almost $3$-quasi-Sasakian manifold of the second kind and prove that on a zero-curvature distribution of an almost quasi-Sasakian manifold, the structure of an almost $3$-quasi-Sasakian manifold is determined by a connection with skew-symmetric torsion.

Keywords: sub-Riemannian manifold of contact type, almost contact metric manifold, interior connection, almost quasi-Sasakian manifold, skew-symmetric connection, almost $3$-quasi-Sasakian structure.

UDC: 514.76

MSC: 53C17

DOI: 10.36535/0233-6723-2023-222-3-9