Michel Boileau, Sylvain Maillot, Joan Porti — Three-dimensional orbifolds and their geometric structure :: Электронная библиотека попечительского совета мехмата МГУ

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Michel Boileau, Sylvain Maillot, Joan Porti — Three-dimensional orbifolds and their geometric structure

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Название: Three-dimensional orbifolds and their geometric structure

Авторы: Michel Boileau, Sylvain Maillot, Joan Porti

Аннотация:

Orbifolds locally look like quotients of manifolds by finite group actions. They play an important role in the study of proper actions of discrete groups on manifolds. This monograph presents recent fundamental results on the geometry and topology of 3-dimensional orbifolds, with an emphasis on their geometric properties.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Количество страниц: 166

Добавлена в каталог: 04.05.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$E_{0}$       37
Affine curve      106
Affine structure      117
Aut( $\mathcal {O}^{'}$ )      24
Axis      86
Character, irreducible      103
Collapse      136
Compact core      69
Complex length      86 120
Compression disc      40
Compression disc, boundary      40
Compression surgery      40
Compression surgery, boundary      40
Cone angle      130
Cone injectivity radius      136
Cone manifold      129
Cone manifold, Euclidean      142
Cone manifold, regular point      130
Cone manifold, singular locus      130
Cone manifold, singular point      130
Cone manifold, structure      132
Cone point      23
Convergence, Hausdorff — Gromov      133
Convergence, pointed bi-Lipschitz      136
Convergence, pointed Hausdorff — Gromov      134
Convex core      89
Cusp      88
Cusp neighborhood      88
Cusp, nonrigid      88
Cusp, opening      115
Cyclic homotopy      73
Cyclic homotopy, bounded      73
Cyclic homotopy, diameter      73
Cyclic homotopy, track      73
Deck transformation      24
Dehn filling      36
Developing map      116
Domain of discontinuity      87
Elliptic      86
Enclosing property      69
Exceptional fiber      34
Exceptional slope      126
Fiber, generic      30
Football      29
Gauss — Bonnet formula      30
General position      43
Geodesic ray      93
Geodesic segment      93
Geodesic triangle      94
Geodesic triangle, thin      94
Geodesic, endpoint of      85
Geometric      5
Geometric topology      114
Geometry      5
Geometry, $H^{2}\times E^{1}$       11
Geometry, $SL_{2}(R)$       12
Geometry, $S^{2}\times E^{1}$       11
Geometry, Euclidean      10
Geometry, hyperbolic      11
Geometry, isotropic      5
Geometry, Nil      11
Geometry, Sol      12
Geometry, spherical      10
Gromov norm      141
Group, convergence      96
Group, convergence, uniform      96
Group, cyclic      23
Group, dihedral      23
Group, growth function      17
Group, half-way residually finite      71 79
Group, hyperbolic      94
Group, hyperbolic, elementary      95
Group, Kleinian      85
Group, Kleinian, elementary      87
Group, Kleinian, geometrically finite      89
Group, platonic      23
Group, reflection      23
Group, residually finite      71
Group, weakly commensurable      16
Hausdorff distance      133
Hierarchy      61
Hierarchy, length      61
Holonomy      117
Holonomy, deformation      118
Homogeneous      5
Homotopy of paths      26
Homotopy, elementary      26
Hyperbolic structure (complete vs. incomplete)      116
Ideal boundary      85
Limit set      87
Local lift      26
Loop      26
Loxodromic      86
Manifold, Euclidean      6
Manifold, hyperbolic      6
Manifold, pared      62
Manifold, Seifert fibered      15
Manifold, spherical      6
Map, combinatorial      72
Map, combinatorial, area      72
Map, combinatorial, length      72
Map, combinatorial, volume      72
Margulis constant      87
Margulis tube      88
Meridian curve      36
Meridian disc      33
Metric space, geodesic      93
Metric space, hyperbolic      94
Metric space, hyperbolic, boundary      95
Metric space, path      129
Metric space, proper      93
Minimizing path      73
Mirrored interval      23
Nontrivial (action on a tree)      108
Orbifold      19

Orbifold, annular      21
Orbifold, atoroidal      40
Orbifold, atoroidal, homotopically      89
Orbifold, bad      20
Orbifold, boundary of      20
Orbifold, closed      20
Orbifold, covering      21
Orbifold, covering, Galois      25
Orbifold, covering, regular      25
Orbifold, diffeomorphism      22
Orbifold, discal      21
Orbifold, embedding      22
Orbifold, Euclidean      21
Orbifold, Euler characteristic      29
Orbifold, fiber bundle      30
Orbifold, fiber bundle, twisted      31
Orbifold, fundamental group      24
Orbifold, good      20
Orbifold, Haken      60
Orbifold, Haken, length      61
Orbifold, hyperbolic      21 85
Orbifold, immersion      22
Orbifold, interior of      20
Orbifold, irreducible      40
Orbifold, irreducible, punctured      44
Orbifold, local group      20
Orbifold, map between      22
Orbifold, map between, proper      22
Orbifold, open      20
Orbifold, orientable      20
Orbifold, path      25
Orbifold, product      22
Orbifold, Seifert fibered      31
Orbifold, small      60
Orbifold, solid-toric      32 47
Orbifold, spherical      21
Orbifold, spherical, punctured      44
Orbifold, submersion      22
Orbifold, toric      21
Orbifold, triangulated      43
Orbifold, underlying space      19
Orbifold, universal covering      24
Orbifold, very good      20
Orbifoldbody      60
Perfect      96
Pillow      29 33
Pillow, solid      33
Product region      39 43
Projection      26
Quasi-isometric embedding      94
Quasi-isometry      16
Quasigeodesic segment      94
Quasimetric      73
Quasimetric, ball      73
Quasimetric, diameter      73
Quasimetric, neighborhood      73
Quasimetric, size      73
Regular point      20
Representation, character      101
Representation, irreducible      102
Seifert fibration      15
Seifert fibration, compatible      72
Simplicial volume      141
Singular locus      20
Singular point      20
Skinning map      90
Smooth projective model      106
Soul      143
Spindle      29
Standard ball      136
Subgroup, peripheral      67
Submanifold, regular      75
Submanifold, S-regular      75
Suborbifold      22
Suborbifold, $\Gamma$ -equivariant      51
Suborbifold, $\pi_{1}$ -injective      51
Suborbifold, boundary compressible      40
Suborbifold, boundary parallel      39
Suborbifold, complexity      45
Suborbifold, compressible      40
Suborbifold, essential      35 40
Suborbifold, horizontal      35
Suborbifold, incompressible      40
Suborbifold, length      52
Suborbifold, normal      43
Suborbifold, parallel      39
Suborbifold, PL area      52
Suborbifold, proper      22
Suborbifold, singular weight      52
Suborbifold, toric, canonical      47
Suborbifold, total weight      52
Suborbifold, vertical      35
System of 2-suborbifolds      39
System of 2-suborbifolds, complexity      45
System of 2-suborbifolds, components of      39
System of 2-suborbifolds, essential      46
System of 2-suborbifolds, normal      43
System of 2-suborbifolds, spherical      39
System of 2-suborbifolds, spherical, essential      44
System of 2-suborbifolds, toric      39
Teardrop      29
Thick part      88
Thin part      88
Tmc      72
TMC, Seifert fibered      72
TMC, uniform      72
Triangulation      43
Turnover      29
Turnover, thick      60
Unimodular      5
Variety of characters      101
Variety of representations      100
Virtually abelian      145
Whitehead manifold      57
Word metric      16

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