V. Z. Grines, M. K. Noskova, O. V. Pochinka, “Construction of an energy function for A-diffeomorphisms of two-dimensional non-wandering sets on 3-manifolds”, Zhurnal SVMO, 2015, Volume 17, Number 3,Pages <nobr>12

This article is cited in 2 papers

Mathematics

Construction of an energy function for A-diffeomorphisms of two-dimensional non-wandering sets on 3-manifolds

V. Z. Grines^a, M. K. Noskova^b, O. V. Pochinka^a

^a State University – Higher School of Economics, Nizhny Novgorod Branch
^b Institute of Informational Technologies, Mathematics and Mechanics, Lobachevsky State University of Nizhny Novgorod

Abstract: In this paper we consider the A-diffeomorphisms of closed orientable 3-manifolds. Assuming that the non-wandering set of the diffeomorphism consists of basic sets whose topological dimension is two, it is proved that it has the energy function.

Keywords: energy function, basic set, Anosov diffeomorphism.

UDC: 517.9

Received: 10.12.2015