A. S. Sharipov, “Isometry groups of foliated manifolds”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021, Volume 197,Pages <nobr>117

This article is cited in 1 paper

Isometry groups of foliated manifolds

A. S. Sharipov

National University of Uzbekistan named after Mirzo Ulugbek

Abstract: In this paper, we study the group of isometries of foliated manifolds. We prove that there is a foliation for which there exists an element of the isometry group of the foliated manifold, which is not an element of the isometry group.

Keywords: foliation, diffeomorphism of foliated manifold, $F$-compactly open topology, isometry group of a foliated manifold.

UDC: 514.763.23

MSC: 58K45, 17B66, 32S65

DOI: 10.36535/0233-6723-2021-197-117-123