Class information for:
Level 1: WILLMORE SURFACES//MOBIUS METRIC//WILLMORE FUNCTIONAL

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
529 3       MATHEMATICS//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 20605
368 2             MATHEMATICS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 17787
15516 1                   WILLMORE SURFACES//MOBIUS METRIC//WILLMORE FUNCTIONAL 735

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 WILLMORE SURFACES authKW 861955 4% 72% 28
2 MOBIUS METRIC authKW 731192 2% 95% 18
3 WILLMORE FUNCTIONAL authKW 490025 3% 57% 20
4 ELASTIC CURVES authKW 483709 3% 59% 19
5 MOBIUS FORM authKW 474962 2% 92% 12
6 MOBIUS SECOND FUNDAMENTAL FORM authKW 428786 1% 100% 10
7 BLASCHKE TENSOR authKW 385908 1% 100% 9
8 LAGUERRE SECOND FUNDAMENTAL FORM authKW 385908 1% 100% 9
9 LAGUERRE FORM authKW 300151 1% 100% 7
10 DUPIN HYPERSURFACES authKW 274420 1% 80% 8

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 20758 72% 0% 529
2 Mathematics, Applied 3654 29% 0% 210
3 Physics, Mathematical 1265 12% 0% 89
4 Physics, Particles & Fields 554 10% 0% 72
5 Physics, Nuclear 230 6% 0% 43
6 Physics, Multidisciplinary 77 6% 0% 47
7 Astronomy & Astrophysics 64 5% 0% 39
8 Mechanics 7 2% 0% 16
9 Multidisciplinary Sciences 2 1% 0% 4
10 Computer Science, Cybernetics 0 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 KATEDRA GEOMETRII WYDZIAL MATEMAT INFORMAT 85757 0% 100% 2
2 GEOMETRIA TOPOL 79519 6% 4% 43
3 OT GOLM 64315 0% 50% 3
4 ALGEBRA COMP GEOMET TOPOL 42879 0% 100% 1
5 DIFFERENTIALGEOMET 42879 0% 100% 1
6 EVASION GRAVIR IMAG 42879 0% 100% 1
7 EXCELLENCE MATH STATS COMPLEX SYST 42879 0% 100% 1
8 FOR UNGS ITUT MATH 42879 0% 100% 1
9 GRUPPO SALERNO 42879 0% 100% 1
10 IBISC COMP SCI INTEGRAT BIOL COMPLEX SYST 42879 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ADVANCES IN CALCULUS OF VARIATIONS 26780 1% 6% 10
2 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 13569 2% 2% 17
3 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 8999 3% 1% 19
4 JOURNAL OF GEOMETRIC ANALYSIS 7170 2% 1% 13
5 JOURNAL OF DIFFERENTIAL GEOMETRY 7142 2% 1% 17
6 JOURNAL OF GEOMETRY AND PHYSICS 6959 3% 1% 21
7 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 4896 2% 1% 12
8 ACTA MATHEMATICA SINICA-ENGLISH SERIES 4568 2% 1% 17
9 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 4313 1% 1% 8
10 TOHOKU MATHEMATICAL JOURNAL 4139 1% 1% 11

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 WILLMORE SURFACES 861955 4% 72% 28 Search WILLMORE+SURFACES Search WILLMORE+SURFACES
2 MOBIUS METRIC 731192 2% 95% 18 Search MOBIUS+METRIC Search MOBIUS+METRIC
3 WILLMORE FUNCTIONAL 490025 3% 57% 20 Search WILLMORE+FUNCTIONAL Search WILLMORE+FUNCTIONAL
4 ELASTIC CURVES 483709 3% 59% 19 Search ELASTIC+CURVES Search ELASTIC+CURVES
5 MOBIUS FORM 474962 2% 92% 12 Search MOBIUS+FORM Search MOBIUS+FORM
6 MOBIUS SECOND FUNDAMENTAL FORM 428786 1% 100% 10 Search MOBIUS+SECOND+FUNDAMENTAL+FORM Search MOBIUS+SECOND+FUNDAMENTAL+FORM
7 BLASCHKE TENSOR 385908 1% 100% 9 Search BLASCHKE+TENSOR Search BLASCHKE+TENSOR
8 LAGUERRE SECOND FUNDAMENTAL FORM 385908 1% 100% 9 Search LAGUERRE+SECOND+FUNDAMENTAL+FORM Search LAGUERRE+SECOND+FUNDAMENTAL+FORM
9 LAGUERRE FORM 300151 1% 100% 7 Search LAGUERRE+FORM Search LAGUERRE+FORM
10 DUPIN HYPERSURFACES 274420 1% 80% 8 Search DUPIN+HYPERSURFACES Search DUPIN+HYPERSURFACES

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 4836 MINIMAL SURFACES//GEOMETRIA TOPOL//CONSTANT MEAN CURVATURE
2 12070 BIHARMONIC MAPS//BIHARMONIC SUBMANIFOLDS//BIENERGY
3 27671 LIE QUADRATIC//RIEMANNIAN CUBIC//MOTION FAIRING
4 6127 MEAN CURVATURE FLOW//SELF SHRINKER//CURVATURE FLOW
5 12800 DIFFERENTIAL INVARIANTS//PENTAGRAM MAP//MOTION OF CURVE
6 11142 REAL HYPERSURFACES//HOPF HYPERSURFACE//COMPLEX TWO PLANE GRASSMANNIANS
7 7078 SLANT SUBMANIFOLD//LAGRANGIAN SUBMANIFOLD//CR SUBMANIFOLD
8 24738 SKEW LOOP//TANTRIX//CURVATURE BOUNDED ABOVE
9 23797 ZITTERBEWEGUNG//THEORIES WITH CONSTRAINTS//SEMICLASSICAL DESCRIPTION OF RELATIVISTIC SPIN
10 14345 CRUMPLING TRANSITION//POLYMERIZED MEMBRANE//GONIHEDRIC STRING

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