Flows on Homogeneous Spaces

Louis Auslander, F. Hahn, L. Green (Autoren)

Buch | Softcover

107 Seiten

1963
Princeton University Press (Verlag)
978-0-691-07963-9 (ISBN)

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In classical dynamics the action of a one-parameter group-time- on the phase space is one of the principal objects of study. Ergodic theory concerns itself with the case when the phase space is a measure spaces. The purpose of this chapter is to give an outline of the basic theorems in the theory of solvmanifolds.

*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

Erscheint lt. Verlag	21.5.1963
Reihe/Serie	Annals of Mathematics Studies
Verlagsort	New Jersey
Sprache	englisch
Maße	152 x 229 mm
Gewicht	170 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-691-07963-3 / 0691079633
ISBN-13	978-0-691-07963-9 / 9780691079639
Zustand	Neuware