CONTENTS

Chapters in this book

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