Class information for:
Level 1: NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE

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
9833 1                   NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE 1149

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NONNEGATIVE CURVATURE authKW 487916 2% 68% 26
2 POSITIVE CURVATURE authKW 421375 2% 59% 26
3 POSITIVE SECTIONAL CURVATURE authKW 303818 1% 92% 12
4 BIQUOTIENTS authKW 274282 1% 100% 10
5 RADIAL CURVATURE authKW 237053 1% 79% 11
6 MATEMAT IE address 215025 1% 56% 14
7 NONNEGATIVE SECTIONAL CURVATURE authKW 175537 1% 80% 8
8 HOPF CONJECTURE authKW 167996 1% 88% 7
9 SPHERE THEOREM authKW 157974 1% 48% 12
10 ALEXANDROV SPACES authKW 146270 1% 44% 12

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 60408 98% 0% 1121
2 Mathematics, Applied 1868 17% 0% 195
3 Physics, Mathematical 13 2% 0% 19
4 Multidisciplinary Sciences 7 1% 0% 8
5 Mathematics, Interdisciplinary Applications -2 0% 0% 2
6 Statistics & Probability -3 0% 0% 2
7 Physics, Particles & Fields -4 0% 0% 5
8 Engineering, General -5 0% 0% 1
9 Physics, Nuclear -7 0% 0% 1
10 Mechanics -9 0% 0% 2

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATEMAT IE 215025 1% 56% 14
2 PL MATH HUBEI PROV 30853 0% 38% 3
3 ANALYSE COMPLEXE GEOMETRIE 27428 0% 100% 1
4 BASICS COURSE 27428 0% 100% 1
5 FOURIER MATHS PU 27428 0% 100% 1
6 GRENOBLE FOURIER 27428 0% 100% 1
7 LIB NORTH 2200 27428 0% 100% 1
8 MATH ASSOCIE 27428 0% 100% 1
9 MATH DEPART 27428 0% 100% 1
10 MATH MODELISAT MONTEPELLIER 27428 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF DIFFERENTIAL GEOMETRY 86828 6% 4% 74
2 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 48188 4% 4% 47
3 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 30769 3% 4% 32
4 GEOMETRIAE DEDICATA 16692 4% 1% 43
5 GEOMETRIC AND FUNCTIONAL ANALYSIS 15913 2% 2% 25
6 JOURNAL OF GEOMETRIC ANALYSIS 14364 2% 2% 23
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 9478 7% 0% 77
8 MATHEMATISCHE ZEITSCHRIFT 8935 4% 1% 41
9 INVENTIONES MATHEMATICAE 8811 3% 1% 32
10 TOHOKU MATHEMATICAL JOURNAL 8759 2% 2% 20

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 NONNEGATIVE CURVATURE 487916 2% 68% 26 Search NONNEGATIVE+CURVATURE Search NONNEGATIVE+CURVATURE
2 POSITIVE CURVATURE 421375 2% 59% 26 Search POSITIVE+CURVATURE Search POSITIVE+CURVATURE
3 POSITIVE SECTIONAL CURVATURE 303818 1% 92% 12 Search POSITIVE+SECTIONAL+CURVATURE Search POSITIVE+SECTIONAL+CURVATURE
4 BIQUOTIENTS 274282 1% 100% 10 Search BIQUOTIENTS Search BIQUOTIENTS
5 RADIAL CURVATURE 237053 1% 79% 11 Search RADIAL+CURVATURE Search RADIAL+CURVATURE
6 NONNEGATIVE SECTIONAL CURVATURE 175537 1% 80% 8 Search NONNEGATIVE+SECTIONAL+CURVATURE Search NONNEGATIVE+SECTIONAL+CURVATURE
7 HOPF CONJECTURE 167996 1% 88% 7 Search HOPF+CONJECTURE Search HOPF+CONJECTURE
8 SPHERE THEOREM 157974 1% 48% 12 Search SPHERE+THEOREM Search SPHERE+THEOREM
9 ALEXANDROV SPACES 146270 1% 44% 12 Search ALEXANDROV+SPACES Search ALEXANDROV+SPACES
10 ESCHENBURG SPACES 137141 0% 100% 5 Search ESCHENBURG+SPACES Search ESCHENBURG+SPACES

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 3107 RICCI FLOW//RICCI SOLITON//KAHLER RICCI FLOW
2 20937 SYSTOLIC INEQUALITY//SYSTOLE//ONCE HOLED TORUS
3 20775 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE
4 24738 SKEW LOOP//TANTRIX//CURVATURE BOUNDED ABOVE
5 25100 EINSTEIN NILRADICAL//EINSTEIN METRICS//SOLITON METRIC
6 11142 REAL HYPERSURFACES//HOPF HYPERSURFACE//COMPLEX TWO PLANE GRASSMANNIANS
7 7928 SPACELIKE HYPERSURFACE//MEAN CURVATURE//GENERALIZED ROBERTSON WALKER SPACETIME
8 13873 GROMOV HYPERBOLICITY//STOCHASTIC COMPLETENESS//INFINITE GRAPHS
9 12264 FINSLER METRIC//FINSLER MANIFOLD//ALPHA BETA METRIC
10 9105 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM

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