Class information for:
Level 1: FLAT MANIFOLD//BIEBERBACH GROUPS//COMPACT FLAT MANIFOLDS

Basic class information

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
14	4	MATHEMATICS//MATHEMATICS, APPLIED//MATH	912822
106	3	MATHEMATICS//COMMUNICATIONS IN ALGEBRA//MATH	74336
1026	2	MATHEMATICS//3 MANIFOLD//ALGEBRAIC AND GEOMETRIC TOPOLOGY	10542
34351	1	FLAT MANIFOLD//BIEBERBACH GROUPS//COMPACT FLAT MANIFOLDS	126

Terms with highest relevance score

rank	Category	termType	chi_square	shrOfCwithTerm	shrOfTermInClass	termInClass
1	FLAT MANIFOLD	authKW	2565318	17%	49%	21
2	BIEBERBACH GROUPS	authKW	2251204	12%	60%	15
3	COMPACT FLAT MANIFOLDS	authKW	800431	3%	80%	4
4	HANTZSCHE WENDT MANIFOLD	authKW	562802	2%	75%	3
5	ETA SERIES	authKW	333512	2%	67%	2
6	FINITE ABELIAN P GROUP	authKW	333512	2%	67%	2
7	20H15	authKW	250135	1%	100%	1
8	77 INVARIANT	authKW	250135	1%	100%	1
9	AFFINE DIFFEOMORPHISM	authKW	250135	1%	100%	1
10	ANDREOTTI INVARIANT	authKW	250135	1%	100%	1

Web of Science journal categories

chi_square_rank	Category	chi_square	shrOfCwithTerm	shrOfTermInClass	termInClass
1	Mathematics	6200	94%	0%	119
2	Mathematics, Applied	313	21%	0%	26
3	Physics, Mathematical	17	4%	0%	5
4	Optics	2	3%	0%	4
5	Automation & Control Systems	0	1%	0%	1
6	Physics, Particles & Fields	0	2%	0%	2
7	Operations Research & Management Science	0	1%	0%	1
8	Astronomy & Astrophysics	-0	2%	0%	2
9	Physics, Multidisciplinary	-0	2%	0%	2

Address terms

chi_square_rank	term	chi_square	shrOfCwithTerm	shrOfTermInClass	termInClass
1	FAMAF UNC CIEM CONICET	250135	1%	100%	1
2	FAMAF CIEM	56275	2%	8%	3
3	CIEM	54703	6%	3%	7
4	FAMAF	30358	7%	1%	9
5	LEHRSTUHL MATH B	6251	1%	3%	1
6	IME	5251	3%	1%	4
7	DIPARTIMENTO MATEMAT G PEANO	3846	1%	2%	1
8	IGCE	3702	2%	1%	2
9	LEHRSTUHL MATH	2907	1%	1%	1
10	LEHRSTUHL MATH D	1922	1%	1%	1

Journals

chi_square_rank	term	chi_square	shrOfCwithTerm	shrOfTermInClass	termInClass
1	JOURNAL OF GROUP THEORY	9578	5%	1%	6
2	MATHEMATIKA	4484	3%	0%	4
3	ANNALS OF GLOBAL ANALYSIS AND GEOMETRY	4385	3%	0%	4
4	QUARTERLY JOURNAL OF MATHEMATICS	4261	4%	0%	5
5	EXPERIMENTAL MATHEMATICS	2972	2%	0%	3
6	JOURNAL OF GEOMETRY AND PHYSICS	2305	4%	0%	5
7	DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS	1788	2%	0%	3
8	ARCHIV DER MATHEMATIK	1759	5%	0%	6
9	ADVANCES IN GEOMETRY	1620	2%	0%	2
10	GEOMETRIAE DEDICATA	1316	3%	0%	4

Author Key Words

chi_square_rank	term	chi_square	shrOfCwithTerm	shrOfTermInClass	termInClass	LCSH search	Wikipedia search
1	FLAT MANIFOLD	2565318	17%	49%	21	Search FLAT+MANIFOLD	Search FLAT+MANIFOLD
2	BIEBERBACH GROUPS	2251204	12%	60%	15	Search BIEBERBACH+GROUPS	Search BIEBERBACH+GROUPS
3	COMPACT FLAT MANIFOLDS	800431	3%	80%	4	Search COMPACT+FLAT+MANIFOLDS	Search COMPACT+FLAT+MANIFOLDS
4	HANTZSCHE WENDT MANIFOLD	562802	2%	75%	3	Search HANTZSCHE+WENDT+MANIFOLD	Search HANTZSCHE+WENDT+MANIFOLD
5	ETA SERIES	333512	2%	67%	2	Search ETA+SERIES	Search ETA+SERIES
6	FINITE ABELIAN P GROUP	333512	2%	67%	2	Search FINITE+ABELIAN+P+GROUP	Search FINITE+ABELIAN+P+GROUP
7	20H15	250135	1%	100%	1	Search 20H15	Search 20H15
8	77 INVARIANT	250135	1%	100%	1	Search 77+INVARIANT	Search 77+INVARIANT
9	AFFINE DIFFEOMORPHISM	250135	1%	100%	1	Search AFFINE+DIFFEOMORPHISM	Search AFFINE+DIFFEOMORPHISM
10	ANDREOTTI INVARIANT	250135	1%	100%	1	Search ANDREOTTI+INVARIANT	Search ANDREOTTI+INVARIANT

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.

Classes with closest relation at Level 1

rank	cluster_id2	link
1	16511	COMPLEX HYPERBOLIC GEOMETRY//THURSTON GEOMETRIES//JORGENSENS INEQUALITY
2	20546	ISOSPECTRALITY//NILMANIFOLDS//ISOSPECTRAL MANIFOLDS
3	22622	SMALL COVER//QUASITORIC MANIFOLD//POLYHEDRAL PRODUCT
4	17369	NIELSEN NUMBER//LEFSCHETZ NUMBER//REIDEMEISTER NUMBER
5	15429	NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//CLIFFORD KLEIN FORM
6	27825	SCHUR INDEX//CLIFFORD THEORY//QUASI PERMUTATION REPRESENTATIONS
7	14654	DIRAC OPERATOR//G2 STRUCTURE//PARALLEL SPINORS
8	32150	FORM SPACES//POLYGONAL FORMS//A PERIODIC TILINGS
9	32886	FISCHER CLIFFORD MATRICES//COMTRANS ALGEBRA//FISCHER MATRICES
10	6508	SOLVMANIFOLD//VAISMAN MANIFOLD//TWISTOR SPACES

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Class information for: Level 1: FLAT MANIFOLD//BIEBERBACH GROUPS//COMPACT FLAT MANIFOLDS