05862nam 22016815 450 991015474820332120190708092533.01-4008-8202-810.1515/9781400882021(CKB)3710000000627302(MiAaPQ)EBC4738651(DE-B1597)467945(OCoLC)979911333(DE-B1597)9781400882021(EXLCZ)99371000000062730220190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierFlows on Homogeneous Spaces. (AM-53), Volume 53 /L. Green, F. Hahn, Louis AuslanderPrinceton, NJ : Princeton University Press, [2016]©19631 online resource (121 pages)Annals of Mathematics Studies ;3030-691-07963-3 Includes bibliographical references.Frontmatter -- INTRODUCTION -- CONTENTS -- CHAPTER I. AN OUTLINE OF RESULTS ON SOLVMANIFOLDS / Auslander, Louis -- CHAPTER II. ERGODIC THEORY AND GROUP REPRESENTATIONS / Green, L. -- CHAPTER III. FLOWS ON SOME THREE DIMENSIONAL HOMOGENEOUS SPACES / Auslander, L. / Green, L. / Hahn, F. -- APPENDIX TO III. ON THE FUNDAMENTAL GROUP OF CERTAIN FIBRE SPACES / Massey, W. -- CHAPTER IV. MINIMAL FLOWS ON NILMANIFOLDS / Auslander, L. / Hahn, F. / Markus, L. -- CHAPTER V. NILFLOWS, MEASURE THEORY / Green, L. -- CHAPTER VI. FLOWS ON CERTAIN SOLVMANIFOLDS NOT OF TYPE E / Auslander, L. / Hahn, F. -- CHAPTER VII. FLOWS IN TYPE (E) SOLVMANIFOLDS / Green, L. -- APPENDIX TO VII. A THEOREM ON DISCRETE SUBGROUPS OF SOLVABLE GROUPS OF TYPE (E) / Auslander, L. -- CHAPTER VIII. AN APPLICATION OF NILFLOWS TO DIOPHANTINE APPROXIMATIONS / Auslander, L. / Hahn, F. -- CHAPTER IX. DISCRETE GROUPS WITH DENSE ORBITS / Greenberg, Leon -- BIBLIOGRAPHYThe description for this book, Flows on Homogeneous Spaces. (AM-53), Volume 53, will be forthcoming.Annals of mathematics studies ;Number 53.Topological dynamicsAdditive group.Affine space.Automorphism.Change of basis.Characteristic class.Cohomology.Combination.Compact space.Complex number.Complexification.Constant function.Continuous function.Corollary.Coset.Dense set.Diagram (category theory).Dimension (vector space).Dimension.Diophantine approximation.Direct integral.Direct sum.Eigenfunction.Eigenvalues and eigenvectors.Empty set.Ergodic theory.Ergodicity.Euclidean space.Exact sequence.Existential quantification.Exponential function.Exponential map (Lie theory).Fiber bundle.Finite set.Fundamental domain.Fundamental group.General position.Geodesic.Group representation.Haar measure.Hausdorff space.Hilbert space.Homeomorphism.Homogeneous coordinates.Homogeneous space.Homomorphism.Horocycle.Identity component.Imaginary number.Induced representation.Integer.Invariant measure.Irreducible component.Lebesgue measure.Lie algebra.Lie group.Linear fractional transformation.Locally compact group.Mathematical induction.Measure (mathematics).Morphism.Nilpotent Lie algebra.Nilpotent group.Nilpotent.Non-abelian.Normal subgroup.One-dimensional space.One-parameter group.Open set.Phase space.Pointwise.Projection (linear algebra).Regular element.Remainder.Representation theory.Riemannian manifold.Root system.Semidirect product.Solvable Lie algebra.Solvable group.Special case.Stone's theorem.Subalgebra.Subgroup.Subset.Tangent space.Tangent vector.Theorem.Three-dimensional space (mathematics).Topological group.Topology.Transformation matrix.Transitive relation.Two-dimensional space.Unit sphere.Unit vector.Unitary operator.Unitary representation.Unitary transformation.Vector space.Without loss of generality.Topological dynamics.516Auslander Louis, 44493Green L., Hahn F., DE-B1597DE-B1597BOOK9910154748203321Flows on Homogeneous Spaces. (AM-53), Volume 532788792UNINA