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本书特色
Handbook of Group Actions（群作用手册）（第 III 卷）
内容简介
群和群作用是数学研究的重要对象。它拥有强大的力量并且富于美感，这可以通过它广泛出现在诸多不同的科学领域体现出来。 此多卷本手册由相关领域专家撰写的一系列综述文章组成, 首次系统地展现了群作用及其运用，内容囊括经典主题的讨论、近来的热点专业问题的论述，有些文章还涉及相关的历史。本书填补了数学著作中的一项空白，适合于从初学者到相关领域专家的各个层次读者阅读。
目录
Part A: Hyperbolicity and Group Actions on Spaces of Nonpositive Curvature
Action at Infinity of Quasi-isometries on Teichmuller Space and the Geometry of the Gromov Product
Degeneration of Marked Hyperbolic Structures in Dimensions 2 and 3
Hyperbolic Four-manifolds
The Hyperbolization Process and Its Riemannian Version.
Surface Subgroups of Word-hyperbolic Groups
Groups Acting on Spaces of Non-positive Curvature
Part B: Group Actions on Geometric Structures
Some Aspects of the Automorphism Groups of Domains
Proper Actions of High-dimensional Groups on Complex Manifolds: The Techniques
A Users’ Guide to Infra-nilmanifolds and Almost-Bieberbach Groups
Deformations of Convex Real Projective Manifolds and Orbifolds
Lorentzian Kleinian Groups
Group Actions and Scattering Problems in Teichmuller Theory
Part C: Group Actions on Topological Manifolds and Symmetries
A Survey of Group Actions on 4-Manifolds
Group Actions in the Existence and Classification of Constant Mean Curvature Surfaces
The Smith Equivalence Problem and the Laitinen Conjecture
Index
Action at Infinity of Quasi-isometries on Teichmuller Space and the Geometry of the Gromov Product
Degeneration of Marked Hyperbolic Structures in Dimensions 2 and 3
Hyperbolic Four-manifolds
The Hyperbolization Process and Its Riemannian Version.
Surface Subgroups of Word-hyperbolic Groups
Groups Acting on Spaces of Non-positive Curvature
Part B: Group Actions on Geometric Structures
Some Aspects of the Automorphism Groups of Domains
Proper Actions of High-dimensional Groups on Complex Manifolds: The Techniques
A Users’ Guide to Infra-nilmanifolds and Almost-Bieberbach Groups
Deformations of Convex Real Projective Manifolds and Orbifolds
Lorentzian Kleinian Groups
Group Actions and Scattering Problems in Teichmuller Theory
Part C: Group Actions on Topological Manifolds and Symmetries
A Survey of Group Actions on 4-Manifolds
Group Actions in the Existence and Classification of Constant Mean Curvature Surfaces
The Smith Equivalence Problem and the Laitinen Conjecture
Index
