Overview

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.

Full Product Details

Author:   Louis Auslander ,  F. Hahn ,  L. Green
Publisher:   Princeton University Press
Imprint:   Princeton University Press
Volume:   52
Dimensions:   Width: 15.20cm , Height: 0.70cm , Length: 22.90cm
Weight:   0.170kg
ISBN:  

9780691079639

ISBN 10:   0691079633
Pages:   107
Publication Date:   21 May 1963
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

*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

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