Class information for:
Level 1: Q CURVATURE//CRITICAL POINTS AT INFINITY//YAMABE PROBLEM

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
72 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 87385
272 2             VARIATIONAL METHODS//MATHEMATICS//MOUNTAIN PASS THEOREM 19256
6370 1                   Q CURVATURE//CRITICAL POINTS AT INFINITY//YAMABE PROBLEM 1520

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Q CURVATURE authKW 666394 3% 71% 45
2 CRITICAL POINTS AT INFINITY authKW 614292 3% 74% 40
3 YAMABE PROBLEM authKW 509926 2% 72% 34
4 CONFORMAL GEOMETRY authKW 271823 3% 30% 43
5 PANEITZ OPERATOR authKW 270910 1% 93% 14
6 CONFORMAL HOLONOMY authKW 248797 1% 100% 12
7 CR PANEITZ OPERATOR authKW 248797 1% 100% 12
8 SCALAR CURVATURE authKW 236852 4% 19% 60
9 BOUNDARY MEAN CURVATURE authKW 229657 1% 92% 12
10 PSEUDOHERMITIAN MANIFOLD authKW 228064 1% 100% 11

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 66188 89% 0% 1352
2 Mathematics, Applied 11614 35% 0% 533
3 Physics, Mathematical 475 6% 0% 85
4 Physics, Multidisciplinary 1 2% 0% 33
5 Physics, Particles & Fields 0 1% 0% 16
6 Automation & Control Systems -2 0% 0% 3
7 Multidisciplinary Sciences -3 0% 0% 1
8 Oceanography -6 0% 0% 1
9 Meteorology & Atmospheric Sciences -10 0% 0% 1
10 Physics, Nuclear -10 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 E CECH 41466 0% 100% 2
2 ANALYSE MATH PLUMR 8050 27643 0% 67% 2
3 MATH 27536 50% 0% 766
4 BUR 7D25 20733 0% 100% 1
5 C2ED 20733 0% 100% 1
6 DIPARTMENTO MATEMAT INFORMAT ECON 20733 0% 100% 1
7 INTERUNIV RECH GEOMETRIE DIFFERENTIELLE TOP 20733 0% 100% 1
8 LOB JA DIEVDONNE 20733 0% 100% 1
9 MATH MODEL MONTPELLIER 20733 0% 100% 1
10 MATIQUES PHYS TH 20733 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 57492 5% 4% 69
2 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 41205 3% 4% 50
3 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 26243 2% 4% 34
4 ADVANCED NONLINEAR STUDIES 20652 2% 4% 25
5 JOURNAL OF DIFFERENTIAL GEOMETRY 19130 3% 2% 40
6 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 17255 2% 4% 23
7 BULLETIN DES SCIENCES MATHEMATIQUES 17227 2% 3% 32
8 INDIANA UNIVERSITY MATHEMATICS JOURNAL 13185 3% 2% 39
9 JOURNAL OF GEOMETRIC ANALYSIS 11812 2% 2% 24
10 JOURNAL OF FUNCTIONAL ANALYSIS 11143 4% 1% 60

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 Q CURVATURE 666394 3% 71% 45 Search Q+CURVATURE Search Q+CURVATURE
2 CRITICAL POINTS AT INFINITY 614292 3% 74% 40 Search CRITICAL+POINTS+AT+INFINITY Search CRITICAL+POINTS+AT+INFINITY
3 YAMABE PROBLEM 509926 2% 72% 34 Search YAMABE+PROBLEM Search YAMABE+PROBLEM
4 CONFORMAL GEOMETRY 271823 3% 30% 43 Search CONFORMAL+GEOMETRY Search CONFORMAL+GEOMETRY
5 PANEITZ OPERATOR 270910 1% 93% 14 Search PANEITZ+OPERATOR Search PANEITZ+OPERATOR
6 CONFORMAL HOLONOMY 248797 1% 100% 12 Search CONFORMAL+HOLONOMY Search CONFORMAL+HOLONOMY
7 CR PANEITZ OPERATOR 248797 1% 100% 12 Search CR+PANEITZ+OPERATOR Search CR+PANEITZ+OPERATOR
8 SCALAR CURVATURE 236852 4% 19% 60 Search SCALAR+CURVATURE Search SCALAR+CURVATURE
9 BOUNDARY MEAN CURVATURE 229657 1% 92% 12 Search BOUNDARY+MEAN+CURVATURE Search BOUNDARY+MEAN+CURVATURE
10 PSEUDOHERMITIAN MANIFOLD 228064 1% 100% 11 Search PSEUDOHERMITIAN+MANIFOLD Search PSEUDOHERMITIAN+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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 3666 CRITICAL SOBOLEV EXPONENT//HARDY INEQUALITY//CAFFARELLI KOHN NIRENBERG INEQUALITY
2 7233 LIOUVILLE TYPE THEOREM//METHOD OF MOVING PLANES IN INTEGRAL FORMS//LIOUVILLE THEOREM
3 25375 TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS
4 10992 MEAN FIELD EQUATION//GEOMETRIC PDES//TAIDA MATH SCI
5 8924 PENROSE INEQUALITY//EINSTEIN CONSTRAINT EQUATIONS//POSITIVE MASS THEOREM
6 14654 DIRAC OPERATOR//G2 STRUCTURE//PARALLEL SPINORS
7 3107 RICCI FLOW//RICCI SOLITON//KAHLER RICCI FLOW
8 19790 STEINER SYMMETRIZATION//POLYA SZEGO INEQUALITY//ISOPERIMETRIC INEQUALITY
9 6508 SOLVMANIFOLD//VAISMAN MANIFOLD//TWISTOR SPACES
10 6293 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//HEISENBERG GROUP

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