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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
34098 116 13.8 28%


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
34098 1                   FLAT MANIFOLD//BIEBERBACH GROUPS//COMPACT FLAT MANIFOLDS 116

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 FLAT MANIFOLD authKW 2507006 17% 48% 20
2 BIEBERBACH GROUPS authKW 2149764 12% 58% 14
3 COMPACT FLAT MANIFOLDS authKW 592284 3% 75% 3
4 HANTZSCHE WENDT MANIFOLD authKW 592284 3% 75% 3
5 ETA SERIES authKW 350983 2% 67% 2
6 FINITE ABELIAN P GROUP authKW 350983 2% 67% 2
7 20H15 authKW 263238 1% 100% 1
8 AFFINE DIFFEOMORPHISM authKW 263238 1% 100% 1
9 COMPETE FLAT MANIFOLD authKW 263238 1% 100% 1
10 COMPLETE FLAT 4 MANIFOLD authKW 263238 1% 100% 1

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 5678 94% 0% 109
2 Mathematics, Applied 345 22% 0% 26
3 Physics, Mathematical 30 5% 0% 6
4 Physics, Particles & Fields -0 1% 0% 1
5 Astronomy & Astrophysics -0 1% 0% 1
6 Physics, Multidisciplinary -1 1% 0% 1

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 FAMAF UNC CIEM CONICET 263238 1% 100% 1
2 UMR CNRS I2M 7373 87745 1% 33% 1
3 FAMAF CIEM 62340 3% 8% 3
4 CIEM 44479 5% 3% 6
5 FAMAF 26391 7% 1% 8
6 LEHRSTUHL MATH B 6925 1% 3% 1
7 IME 5866 3% 1% 4
8 UMR CNRS 7351 4873 1% 2% 1
9 DIPARTIMENTO MATEMAT G PEANO 4313 1% 2% 1
10 IGCE 4015 2% 1% 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 JOURNAL OF GROUP THEORY 10576 5% 1% 6
2 QUARTERLY JOURNAL OF MATHEMATICS 6587 5% 0% 6
3 MATHEMATIKA 4856 3% 0% 4
4 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 4757 3% 0% 4
5 EXPERIMENTAL MATHEMATICS 3257 3% 0% 3
6 JOURNAL OF GEOMETRY AND PHYSICS 2571 4% 0% 5
7 ARCHIV DER MATHEMATIK 1878 5% 0% 6
8 ADVANCES IN GEOMETRY 1787 2% 0% 2
9 MATHEMATISCHE ANNALEN 1397 4% 0% 5
10 COMMUNICATIONS IN ALGEBRA 1328 6% 0% 7

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 FLAT MANIFOLD 2507006 17% 48% 20 Search FLAT+MANIFOLD Search FLAT+MANIFOLD
2 BIEBERBACH GROUPS 2149764 12% 58% 14 Search BIEBERBACH+GROUPS Search BIEBERBACH+GROUPS
3 COMPACT FLAT MANIFOLDS 592284 3% 75% 3 Search COMPACT+FLAT+MANIFOLDS Search COMPACT+FLAT+MANIFOLDS
4 HANTZSCHE WENDT MANIFOLD 592284 3% 75% 3 Search HANTZSCHE+WENDT+MANIFOLD Search HANTZSCHE+WENDT+MANIFOLD
5 ETA SERIES 350983 2% 67% 2 Search ETA+SERIES Search ETA+SERIES
6 FINITE ABELIAN P GROUP 350983 2% 67% 2 Search FINITE+ABELIAN+P+GROUP Search FINITE+ABELIAN+P+GROUP
7 20H15 263238 1% 100% 1 Search 20H15 Search 20H15
8 AFFINE DIFFEOMORPHISM 263238 1% 100% 1 Search AFFINE+DIFFEOMORPHISM Search AFFINE+DIFFEOMORPHISM
9 COMPETE FLAT MANIFOLD 263238 1% 100% 1 Search COMPETE+FLAT+MANIFOLD Search COMPETE+FLAT+MANIFOLD
10 COMPLETE FLAT 4 MANIFOLD 263238 1% 100% 1 Search COMPLETE+FLAT+4+MANIFOLD Search COMPLETE+FLAT+4+MANIFOLD

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 GASIOR, A , SZCZEPANSKI, A , (2013) TANGENT BUNDLES OF HANTZSCHE-WENDT MANIFOLDS.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 70. ISSUE . P. 123 -129 10 91% 1
2 ROSSETTI, JP , SZCZEPANSKI, A , (2005) GENERALIZED HANTZSCHE-WENDT FLAT MANIFOLDS.REVISTA MATEMATICA IBEROAMERICANA. VOL. 21. ISSUE 3. P. 1053-1070 11 85% 16
3 PUTRYCZ, B , (2007) COMMUTATOR SUBGROUPS OF HANTZSCHE-WENDT GROUPS.JOURNAL OF GROUP THEORY. VOL. 10. ISSUE 3. P. 401 -409 8 89% 6
4 GASIOR, A , PETROSYAN, N , SZCZEPANSKI, A , (2016) SPIN STRUCTURES ON ALMOST-FLAT MANIFOLDS.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 16. ISSUE 2. P. 783 -796 7 78% 0
5 DEKIMPE, K , HALENDA, M , SZCZEPANSKI, A , (2009) KAHLER FLAT MANIFOLDS.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. VOL. 61. ISSUE 2. P. 363 -377 7 88% 1
6 CONSOLE, S , MIATELLO, RJ , ROSSETTI, JP , (2010) Z(2)-COHOMOLOGY AND SPECTRAL PROPERTIES OF FLAT MANIFOLDS OF DIAGONAL TYPE.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 60. ISSUE 5. P. 760-781 8 73% 3
7 GASIOR, A , SZCZEPANSKI, A , (2014) FLAT MANIFOLDS WITH HOLONOMY GROUP Z(2)(K) OF DIAGONAL TYPE.OSAKA JOURNAL OF MATHEMATICS. VOL. 51. ISSUE 4. P. 1015 -1025 8 67% 0
8 LUTOWSKI, R , PUTRYCZ, B , (2015) SPIN STRUCTURES ON FLAT MANIFOLDS.JOURNAL OF ALGEBRA. VOL. 436. ISSUE . P. 277 -291 5 100% 0
9 DEKIMPE, K , SADOWSKI, M , SZCZEPANSKI, A , (2006) SPIN STRUCTURES ON FLAT MANIFOLDS.MONATSHEFTE FUR MATHEMATIK. VOL. 148. ISSUE 4. P. 283-296 7 88% 8
10 HISS, G , SZCZEPANSKI, A , (2008) SPIN STRUCTURES ON FLAT MANIFOLDS WITH CYCLIC HOLONOMY.COMMUNICATIONS IN ALGEBRA. VOL. 36. ISSUE 1. P. 11-22 5 100% 3

Classes with closest relation at Level 1


Rank Class id link
1 29962 FREE AND CELLULAR G ACTION//FARRELL COHOMOLOGY//GROUP OF SELF HOMOTOPY EQUIVALENCES
2 19740 ISOSPECTRALITY//LAPLACE SPECTRUM//ISOSPECTRAL
3 13823 COMPLEX HYPERBOLIC GEOMETRY//JORGENSENS INEQUALITY//COMPLEX HYPERBOLIC SPACE
4 19910 SMALL COVER//QUASITORIC MANIFOLD//ELLIPTIC GENERA
5 17793 NIELSEN NUMBER//LEFSCHETZ NUMBER//REIDEMEISTER NUMBER
6 19508 DIRAC OPERATOR//CHARACTERISTIC CONNECTION//PARALLEL SPINORS
7 14508 NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//ALMOST BIEBERBACH GROUP
8 28736 FORM SPACES//POLYGONAL FORMS//TRADITIONAL FIELDS
9 5722 TEICHMULLER SPACE//MAPPING CLASS GROUP//KLEINIAN GROUPS
10 30311 CARE DEPENDENCY//FISCHER CLIFFORD MATRICES//CARE DEPENDENCY SCALE

Go to start page