In this paper we consider dynamical systems resulting from the motion of a material point in domains with strictly convex boundary, that is, such that the operator of the second quadratic form is negative-definite at each point of the boundary, where the boundary is taken to be equipped with the field of inward normals. We prove that such systems are ergodic and are -systems. The basic method of investigation is the construction of transversal foliations for such systems and the study of their properties.
|Original language||English (US)|
|Number of pages||53|
|Journal||Russian Mathematical Surveys|
|State||Published - Apr 30 1970|
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