Class information for:
Level 1: LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE

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
1402 2             HOMOGENIZATION//TWO SCALE CONVERGENCE//MATHEMATICS 8284
20775 1                   LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE 470

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LAPLACIAN ON FORMS authKW 279398 1% 83% 5
2 COLLAPSING OF RIEMANNIAN MANIFOLDS authKW 268224 1% 100% 4
3 BIPOLAR SURFACE authKW 201168 1% 100% 3
4 HIGHER ORDER AUTOMORPHIC FORMS authKW 201168 1% 100% 3
5 EXTREMAL METRIC authKW 172925 1% 37% 7
6 CONFORMAL VOLUME authKW 150875 1% 75% 3
7 DEGENERATING RIEMANN SURFACES authKW 150875 1% 75% 3
8 OTSUKI TORI authKW 150875 1% 75% 3
9 CONFORMAL SPECTRUM authKW 134112 0% 100% 2
10 CURVATURE OF A LOOP authKW 134112 0% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 21472 91% 0% 428
2 Mathematics, Applied 1067 20% 0% 93
3 Physics, Mathematical 131 5% 0% 25
4 Physics, Nuclear 3 1% 0% 7
5 Multidisciplinary Sciences 2 1% 0% 3
6 Physics, Particles & Fields 1 1% 0% 7
7 Automation & Control Systems -0 0% 0% 2
8 Mathematics, Interdisciplinary Applications -1 0% 0% 1
9 Astronomy & Astrophysics -2 1% 0% 4
10 Mechanics -2 0% 0% 2

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ANAL NON LINEAIRE GEOMETRIE EA 251 67056 0% 100% 1
2 C RS 67056 0% 100% 1
3 CMR 7353 67056 0% 100% 1
4 DIPARITMENTO METODI MODELLI MATEMAT 67056 0% 100% 1
5 DIPARTIMENTO SCI BASE PLCATE INGN 67056 0% 100% 1
6 ELIE CARTAN LORRAINE MATH 67056 0% 100% 1
7 IRMP MATH 67056 0% 100% 1
8 MATH MODELLING FN 12 67056 0% 100% 1
9 UMR7502INRIA 67056 0% 100% 1
10 MATH R SALEM 37714 1% 19% 3

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMMENTARII MATHEMATICI HELVETICI 23044 4% 2% 21
2 JOURNAL OF SPECTRAL THEORY 9794 1% 3% 5
3 GEOMETRIC AND FUNCTIONAL ANALYSIS 7533 2% 1% 11
4 JOURNAL OF GEOMETRIC ANALYSIS 6639 2% 1% 10
5 JOURNAL OF DIFFERENTIAL GEOMETRY 6536 3% 1% 13
6 MANUSCRIPTA MATHEMATICA 4556 3% 0% 15
7 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 4097 3% 0% 15
8 MATHEMATISCHE ZEITSCHRIFT 3756 4% 0% 17
9 JOURNAL OF FUNCTIONAL ANALYSIS 3614 4% 0% 19
10 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 3593 1% 1% 7

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 LAPLACIAN ON FORMS 279398 1% 83% 5 Search LAPLACIAN+ON+FORMS Search LAPLACIAN+ON+FORMS
2 COLLAPSING OF RIEMANNIAN MANIFOLDS 268224 1% 100% 4 Search COLLAPSING+OF+RIEMANNIAN+MANIFOLDS Search COLLAPSING+OF+RIEMANNIAN+MANIFOLDS
3 BIPOLAR SURFACE 201168 1% 100% 3 Search BIPOLAR+SURFACE Search BIPOLAR+SURFACE
4 HIGHER ORDER AUTOMORPHIC FORMS 201168 1% 100% 3 Search HIGHER+ORDER+AUTOMORPHIC+FORMS Search HIGHER+ORDER+AUTOMORPHIC+FORMS
5 EXTREMAL METRIC 172925 1% 37% 7 Search EXTREMAL+METRIC Search EXTREMAL+METRIC
6 CONFORMAL VOLUME 150875 1% 75% 3 Search CONFORMAL+VOLUME Search CONFORMAL+VOLUME
7 DEGENERATING RIEMANN SURFACES 150875 1% 75% 3 Search DEGENERATING+RIEMANN+SURFACES Search DEGENERATING+RIEMANN+SURFACES
8 OTSUKI TORI 150875 1% 75% 3 Search OTSUKI+TORI Search OTSUKI+TORI
9 CONFORMAL SPECTRUM 134112 0% 100% 2 Search CONFORMAL+SPECTRUM Search CONFORMAL+SPECTRUM
10 CURVATURE OF A LOOP 134112 0% 100% 2 Search CURVATURE+OF+A+LOOP Search CURVATURE+OF+A+LOOP

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 19301 CONTROL IN COEFFICIENTS//VARYING DOMAINS//LAVRENTIEFF PHENOMENON
2 18848 UNIVERSAL INEQUALITIES//EIGENVALUE RATIO//LIEB THIRRING INEQUALITIES
3 26349 MULTIPLE SINE FUNCTION//FIELD WITH ONE ELEMENT//MULTIPLE GAMMA FUNCTION
4 35049 CLAMPED PLATE EQUATION//KHAVINSON SHAPIRO CONJECTURE//FISCHER OPERATOR
5 10996 HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//PATTERSON SULLIVAN MEASURE
6 25608 HECKE GROUPS//SUBORBITAL GRAPHS//EXTENDED HECKE GROUP
7 9833 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE
8 20546 ISOSPECTRALITY//NILMANIFOLDS//ISOSPECTRAL MANIFOLDS
9 20937 SYSTOLIC INEQUALITY//SYSTOLE//ONCE HOLED TORUS
10 11341 ANALYTIC TORSION//DIFFERENTIAL K THEORY//DIFFERENTIAL COHOMOLOGY

Go to start page