Topological classification of Liouville foliations for the Kovalevskaya integrable case on the Lie algebra so(3, 1)

Abstract

In this paper, we study the topology of the Liouville foliation of an analogue of the Kovalevskaya integrable case on the Lie algebra so(3; 1). The Fomenko-Zieschang invariants (i.e., marked molecules) of a given foliation on each regular isoenergy surface were calculated.