About: Hyperbolic 3-manifold

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Hyperbolic 3-manifold Goto Sponge NotDistinct Permalink

An Entity of Type : yago:WikicatRiemannianManifolds, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FHyperbolic_3-manifold&invfp=IFP_OFF&sas=SAME_AS_OFF

In mathematics, more precisely in topology and differential geometry, a hyperbolic 3–manifold is a manifold of dimension 3 equipped with a hyperbolic metric, that is a Riemannian metric which has all its sectional curvatures equal to -1. It is generally required that this metric be also complete: in this case the manifold can be realised as a quotient of the 3-dimensional hyperbolic space by a discrete group of isometries (a Kleinian group).

Attributes	Values
rdf:type	yago:Artifact100021939 yago:Conduit103089014 yago:Manifold103717750 yago:Object100002684 yago:Passage103895293 yago:PhysicalEntity100001930 yago:Pipe103944672 yago:YagoGeoEntity yago:YagoPermanentlyLocatedEntity yago:Tube104493505 yago:Way104564698 yago:Whole100003553 yago:WikicatRiemannianManifolds
rdfs:label	Hyperbolic 3-manifold (en) 双曲3次元多様体 (ja)
rdfs:comment	数学において双曲3次元多様体（そうきょく3じげんたようたい、英: Hyperbolic 3-manifold）とは、定数断面曲率 -1 を持つ完備リーマン計量を備えるのことを言う。これは言い換えると、自由かつに作用する双曲等長の部分群による3次元の商である。を参照されたい。この多様体の厚薄分解は、閉測地線の管状近傍からなる薄い部分と、ユークリッド曲面と閉半直線の積であるエンドからなる。この多様体の体積が有限であるための必要十分条件は、その厚い部分がコンパクトであることである。この場合、エンドは閉半直線を横切るトーラスの形をしており、尖点（cusp）と呼ばれる。 (ja) In mathematics, more precisely in topology and differential geometry, a hyperbolic 3–manifold is a manifold of dimension 3 equipped with a hyperbolic metric, that is a Riemannian metric which has all its sectional curvatures equal to -1. It is generally required that this metric be also complete: in this case the manifold can be realised as a quotient of the 3-dimensional hyperbolic space by a discrete group of isometries (a Kleinian group). (en)
dcterms:subject	3-manifolds Kleinian groups Riemannian manifolds Manifolds Hyperbolic geometry
Wikipage page ID	1237700 (xsd:integer)
Wikipage revision ID	1118842769 (xsd:integer)
Link from a Wikipage to another Wikipage	Ending lamination theorem Mostow rigidity theorem Betti number Double limit theorem 3-manifolds Kleinian groups Complete space Mathematics Geometric group theory Order type Schreier coset graph Riemannian manifolds Closed surface Topology Heegaard splitting Irreducibility (mathematics) SnapPea 3-manifold Manifolds Cusp neighbourhood Hyperbolic geometry Discrete group Quotient space (topology) Riemannian metric Atoroidal Tetrahedron Hyperbolic Dehn surgery Hyperbolic manifold Hyperbolic space Hyperbolic volume Torus knot Reflection group Regina (program) Differential geometry Dihedral angle Dodecahedron Manifold Solid angle Free group Chabauty topology Kleinian group Satellite knot Tameness theorem Gieseking manifold Pseudo-Anosov map Quasi-Fuchsian group Surface subgroup conjecture Virtually fibered conjecture Polytope The geometry and topology of three-manifolds Surface bundle over the circle Virtually Haken conjecture Seifert–Weber space Sectional curvature Springer-Verlag Gromov-Hausdorff metric Hyperbolic metric Quaternion algebras Ideal vertex Geometrically finite Geometrisation conjecture Thick-thin decomposition Well-ordered
Link from a Wikipage to an external page	http://www.msri.org/publications/books/gt3m/ http://www.uni-regensburg.de/Fakultaeten/nat_Fak_I/friedl/papers/3-manifold-groups-final-version-031115 http://www.numdam.org/numdam-bin/fitem%3Fid=SB_1979-1980__22__40_0%7Cmr=636516%7Curl-status=dead%7Carchive-url=https:/web.archive.org/web/20160110061753/http:/www.numdam.org/numdam-bin/fitem%3Fid=SB_1979-1980__22__40_0%7Carchive-date=2016-01-10
sameAs	Hyperbolic 3-manifold Hyperbolic 3-manifold Hyperbolic 3-manifold Hyperbolic 3-manifold Hyperbolic 3-manifold
dbp:wikiPageUsesTemplate	dbt:Blockquote dbt:Cite_book dbt:Cite_journal dbt:Main dbt:Reflist

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 67 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software