Abstract
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) |
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Pages (from-to) | 137-189 |
Number of pages | 53 |
Journal | Russian Mathematical Surveys |
Volume | 25 |
Issue number | 2 |
DOIs | |
State | Published - Apr 30 1970 |
All Science Journal Classification (ASJC) codes
- General Mathematics