Flows on Homogeneous Spaces.

Abstract

*Frontmatter, pg. i*INTRODUCTION, pg. v*CONTENTS, pg. vii*CHAPTER I. AN OUTLINE OF RESULTS ON SOLVMANIFOLDS, pg. 1*CHAPTER II. ERGODIC THEORY AND GROUP REPRESENTATIONS, pg. 7*CHAPTER III. FLOWS ON SOME THREE DIMENSIONAL HOMOGENEOUS SPACES, pg. 15*APPENDIX TO III. ON THE FUNDAMENTAL GROUP OF CERTAIN FIBRE SPACES, pg. 37*CHAPTER IV. MINIMAL FLOWS ON NILMANIFOLDS, pg. 43*CHAPTER V. NILFLOWS, MEASURE THEORY, pg. 59*CHAPTER VI. FLOWS ON CERTAIN SOLVMANIFOLDS NOT OF TYPE E, pg. 67*CHAPTER VII. FLOWS IN TYPE (E) SOLVMANIFOLDS, pg. 73*APPENDIX TO VII. A THEOREM ON DISCRETE SUBGROUPS OF SOLVABLE GROUPS OF TYPE (E), pg. 79*CHAPTER VIII. AN APPLICATION OF NILFLOWS TO DIOPHANTINE APPROXIMATIONS, pg. 81*CHAPTER IX. DISCRETE GROUPS WITH DENSE ORBITS, pg. 85*BIBLIOGRAPHY, pg. 105