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Spherical CR geometry and Dehn surgery / / Richard Evan Schwartz



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Autore: Schwartz Richard Evan Visualizza persona
Titolo: Spherical CR geometry and Dehn surgery / / Richard Evan Schwartz Visualizza cluster
Pubblicazione: Princeton : , : Princeton University Press, , 2007
Edizione: Course Book
Descrizione fisica: 1 online resource (199 p.)
Disciplina: 516.3/6
Soggetto topico: CR submanifolds
Dehn surgery (Topology)
Three-manifolds (Topology)
Soggetto non controllato: Arc (geometry)
Automorphism
Ball (mathematics)
Bijection
Bump function
CR manifold
Calculation
Canonical basis
Cartesian product
Clifford torus
Combinatorics
Compact space
Conjugacy class
Connected space
Contact geometry
Convex cone
Convex hull
Coprime integers
Coset
Covering space
Dehn surgery
Dense set
Diagram (category theory)
Diameter
Diffeomorphism
Differential geometry of surfaces
Discrete group
Double coset
Eigenvalues and eigenvectors
Equation
Equivalence class
Equivalence relation
Euclidean distance
Four-dimensional space
Function (mathematics)
Fundamental domain
Geometry and topology
Geometry
Harmonic function
Hexagonal tiling
Holonomy
Homeomorphism
Homology (mathematics)
Homotopy
Horosphere
Hyperbolic 3-manifold
Hyperbolic Dehn surgery
Hyperbolic geometry
Hyperbolic manifold
Hyperbolic space
Hyperbolic triangle
Hypersurface
I0
Ideal triangle
Intermediate value theorem
Intersection (set theory)
Isometry group
Isometry
Limit point
Limit set
Manifold
Mathematical induction
Metric space
Möbius transformation
Parameter
Parity (mathematics)
Partial derivative
Partition of unity
Permutation
Polyhedron
Projection (linear algebra)
Projectivization
Quotient space (topology)
R-factor (crystallography)
Real projective space
Right angle
Sard's theorem
Seifert fiber space
Set (mathematics)
Siegel domain
Simply connected space
Solid torus
Special case
Sphere
Stereographic projection
Subgroup
Subsequence
Subset
Tangent space
Tangent vector
Tetrahedron
Theorem
Topology
Torus
Transversality (mathematics)
Triangle group
Union (set theory)
Unit disk
Unit sphere
Unit tangent bundle
Classificazione: SK 350
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references (pages [181]-184) and index.
Nota di contenuto: Frontmatter -- Contents -- Preface -- Part 1. Basic Material -- Part 2. Proof of the HST -- Part 3. The Applications -- Part 4. Structure of Ideal Triangle Groups -- Bibliography -- Index
Sommario/riassunto: This book proves an analogue of William Thurston's celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete groups, and then derives two main geometric consequences from it. The first is the construction of large numbers of closed real hyperbolic 3-manifolds which bound complex hyperbolic orbifolds--the only known examples of closed manifolds that simultaneously have these two kinds of geometric structures. The second is a complete understanding of the structure of complex hyperbolic reflection triangle groups in cases where the angle is small. In an accessible and straightforward manner, Richard Evan Schwartz also presents a large amount of useful information on complex hyperbolic geometry and discrete groups. Schwartz relies on elementary proofs and avoids "ations of preexisting technical material as much as possible. For this reason, this book will benefit graduate students seeking entry into this emerging area of research, as well as researchers in allied fields such as Kleinian groups and CR geometry.
Titolo autorizzato: Spherical CR geometry and Dehn surgery  Visualizza cluster
ISBN: 1-4008-3719-7
0-691-12810-3
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910791746703321
Lo trovi qui: Univ. Federico II
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Serie: Annals of mathematics studies ; ; number 165.