Class information for:
Level 1: COMPLEX HYPERBOLIC GEOMETRY//JORGENSENS INEQUALITY//COMPLEX HYPERBOLIC SPACE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13823 811 16.9 34%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
281 3       MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 42804
2047 2             NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE 5355
13823 1                   COMPLEX HYPERBOLIC GEOMETRY//JORGENSENS INEQUALITY//COMPLEX HYPERBOLIC SPACE 811

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 COMPLEX HYPERBOLIC GEOMETRY authKW 419052 2% 70% 16
2 JORGENSENS INEQUALITY authKW 267732 1% 89% 8
3 COMPLEX HYPERBOLIC SPACE authKW 241776 2% 38% 17
4 DISCRETE GROUPS authKW 202440 3% 24% 22
5 COMPLEX HYPERBOLIC TRIANGLE GROUPS authKW 188250 1% 100% 5
6 DISCRETENESS CRITERION authKW 188250 1% 100% 5
7 HYPERBOLIC 4 MANIFOLDS authKW 188250 1% 100% 5
8 ELLIPTIC ELEMENT authKW 184481 1% 70% 7
9 THURSTON GEOMETRIES authKW 184481 1% 70% 7
10 COXETER POLYTOPE authKW 156874 1% 83% 5

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 43273 98% 0% 795
2 Mathematics, Applied 1049 15% 0% 124
3 Multidisciplinary Sciences 6 1% 0% 6
4 Computer Science, Theory & Methods 0 1% 0% 6
5 Statistics & Probability -1 0% 0% 3
6 Physics, Particles & Fields -1 1% 0% 5
7 Physics, Mathematical -2 0% 0% 3
8 Mathematics, Interdisciplinary Applications -2 0% 0% 1
9 Crystallography -4 0% 0% 1
10 Astronomy & Astrophysics -6 0% 0% 4

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 GEOMETRY 44784 2% 6% 20
2 DIPARTIMENTO MATEMAT MAT 37650 0% 100% 1
3 INRIA EPI OURAGAN 37650 0% 100% 1
4 OURAGAN INRIA ROCQUENCOURT MATH JUSSIEU 37650 0% 100% 1
5 POST DOCTORAL REUOPEEN 37650 0% 100% 1
6 SEO 322 37650 0% 100% 1
7 DIPARTIMENTO MATEMAT TONELLI 18824 0% 50% 1
8 E EIN MATH GIVAT RAM 18824 0% 50% 1
9 FSB MATHGEOM 18824 0% 50% 1
10 MATH STAT COMP SCI M C 249 16730 0% 22% 2

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 GEOMETRIAE DEDICATA 49955 8% 2% 63
2 COMMENTARII MATHEMATICI HELVETICI 5787 2% 1% 14
3 JOURNAL OF DIFFERENTIAL GEOMETRY 5615 2% 1% 16
4 GEOMETRY & TOPOLOGY 5239 1% 1% 11
5 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 4973 1% 1% 12
6 TOPOLOGY 4865 2% 1% 13
7 PACIFIC JOURNAL OF MATHEMATICS 4711 3% 1% 24
8 PUBLICATIONS MATHEMATIQUES 4422 0% 3% 4
9 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 4228 2% 1% 19
10 GROUPS GEOMETRY AND DYNAMICS 4108 1% 2% 6

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 COMPLEX HYPERBOLIC GEOMETRY 419052 2% 70% 16 Search COMPLEX+HYPERBOLIC+GEOMETRY Search COMPLEX+HYPERBOLIC+GEOMETRY
2 JORGENSENS INEQUALITY 267732 1% 89% 8 Search JORGENSENS+INEQUALITY Search JORGENSENS+INEQUALITY
3 COMPLEX HYPERBOLIC SPACE 241776 2% 38% 17 Search COMPLEX+HYPERBOLIC+SPACE Search COMPLEX+HYPERBOLIC+SPACE
4 DISCRETE GROUPS 202440 3% 24% 22 Search DISCRETE+GROUPS Search DISCRETE+GROUPS
5 COMPLEX HYPERBOLIC TRIANGLE GROUPS 188250 1% 100% 5 Search COMPLEX+HYPERBOLIC+TRIANGLE+GROUPS Search COMPLEX+HYPERBOLIC+TRIANGLE+GROUPS
6 DISCRETENESS CRITERION 188250 1% 100% 5 Search DISCRETENESS+CRITERION Search DISCRETENESS+CRITERION
7 HYPERBOLIC 4 MANIFOLDS 188250 1% 100% 5 Search HYPERBOLIC+4+MANIFOLDS Search HYPERBOLIC+4+MANIFOLDS
8 ELLIPTIC ELEMENT 184481 1% 70% 7 Search ELLIPTIC+ELEMENT Search ELLIPTIC+ELEMENT
9 THURSTON GEOMETRIES 184481 1% 70% 7 Search THURSTON+GEOMETRIES Search THURSTON+GEOMETRIES
10 COXETER POLYTOPE 156874 1% 83% 5 Search COXETER+POLYTOPE Search COXETER+POLYTOPE

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 BELOLIPETSKY, M , (2016) ARITHMETIC HYPERBOLIC REFLECTION GROUPS.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 53. ISSUE 3. P. 437 -475 32 59% 0
2 QIN, HN , JIANG, YP , CAO, WS , (2014) JORGENSEN'S INEQUALITY AND ALGEBRAIC CONVERGENCE THEOREM IN QUATERNIONIC HYPERBOLIC ISOMETRY GROUPS.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 19 95% 0
3 CAO, WS , (2016) BALLS IN QUATERNIONIC HYPERBOLIC MANIFOLDS.KODAI MATHEMATICAL JOURNAL. VOL. 39. ISSUE 2. P. 439 -454 16 94% 0
4 LI, LL , WANG, XT , (2009) DISCRETENESS CRITERIA FOR MOBIUS GROUPS ACTING ON (R)OVER-BAR(N) II.BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 80. ISSUE 2. P. 275-290 19 90% 3
5 FELIKSON, A , TUMARKIN, P , (2014) ESSENTIAL HYPERBOLIC COXETER POLYTOPES.ISRAEL JOURNAL OF MATHEMATICS. VOL. 199. ISSUE 1. P. 113 -161 16 94% 1
6 DERAUX, M , PARKER, JR , PAUPERT, J , (2016) NEW NON-ARITHMETIC COMPLEX HYPERBOLIC LATTICES.INVENTIONES MATHEMATICAE. VOL. 203. ISSUE 3. P. 681 -771 19 76% 0
7 KELLERHALS, R , (2014) HYPERBOLIC ORBIFOLDS OF MINIMAL VOLUME.COMPUTATIONAL METHODS AND FUNCTION THEORY. VOL. 14. ISSUE 2-3. P. 465 -481 18 82% 2
8 FU, X , (2013) DISCRETENESS AND CONVERGENCE OF COMPLEX HYPERBOLIC ISOMETRY GROUPS.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 15 100% 0
9 CUNHA, H , DUTENHEFNER, F , GUSEVSKII, N , THEBALDI, RS , (2012) THE MODULI SPACE OF COMPLEX GEODESICS IN THE COMPLEX HYPERBOLIC PLANE.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 22. ISSUE 2. P. 295-319 15 100% 0
10 MAILLOT, S , (2010) HYPERBOLIC VARIETIES IN A SMALL VOLUME.ASTERISQUE. VOL. . ISSUE 332. P. 405-417 23 68% 0

Classes with closest relation at Level 1


Rank Class id link
1 34098 FLAT MANIFOLD//BIEBERBACH GROUPS//COMPACT FLAT MANIFOLDS
2 5722 TEICHMULLER SPACE//MAPPING CLASS GROUP//KLEINIAN GROUPS
3 1743 HEEGAARD SPLITTING//DEHN SURGERY//3 MANIFOLD
4 36702 COMPLEX KLEINIAN GROUPS//PROJECTIVE COMPLEX PLANE//LIMIT SET
5 20314 CIRCLE PATTERN//FLEXIBLE POLYHEDRON//ACUTE TRIANGULATIONS
6 23249 APOLLONIAN PACKING//AXIAL FUNCTIONS//BABAIS CONJECTURE
7 14508 NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//ALMOST BIEBERBACH GROUP
8 15272 KAC MOODY GROUPS//TWIN BUILDINGS//COXETER GROUP
9 18009 SURFACES OF GENERAL TYPE//LEHRSTUHL MATH 8//SURFACE OF GENERAL TYPE
10 22321 SPINOR CLASS FIELDS//TERNARY QUADRATIC FORMS//REPRESENTATIONS OF INTEGERS

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