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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
20186 472 19.0 37%


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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
291 2             MATHEMATICS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 18882
20186 1                   LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE 472

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 LAPLACIAN ON FORMS authKW 269551 1% 83% 5
2 COLLAPSING OF RIEMANNIAN MANIFOLDS authKW 258770 1% 100% 4
3 BIPOLAR SURFACE authKW 194078 1% 100% 3
4 HIGHER ORDER AUTOMORPHIC FORMS authKW 194078 1% 100% 3
5 EXTREMAL METRIC authKW 166830 1% 37% 7
6 CONFORMAL VOLUME authKW 145557 1% 75% 3
7 OTSUKI TORI authKW 145557 1% 75% 3
8 CONFORMAL SPECTRUM authKW 129385 0% 100% 2
9 HIGHER ORDER FORMS authKW 129385 0% 100% 2
10 HIGHER ORDER MODULAR FORMS authKW 129385 0% 100% 2

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 22106 92% 0% 434
2 Mathematics, Applied 1164 21% 0% 97
3 Physics, Mathematical 86 4% 0% 21
4 Multidisciplinary Sciences 0 0% 0% 2
5 Automation & Control Systems 0 0% 0% 2
6 Mathematics, Interdisciplinary Applications -1 0% 0% 1
7 Physics, Nuclear -1 0% 0% 2
8 Statistics & Probability -1 0% 0% 1
9 Physics, Particles & Fields -2 0% 0% 2
10 Mechanics -2 0% 0% 2

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 MATH R SALEM 69000 1% 27% 4
2 ANAL NON LINEAIRE GEOMETRIE EA 251 64693 0% 100% 1
3 CMR 7353 64693 0% 100% 1
4 DIPARITMENTO METODI MODELLI MATEMAT 64693 0% 100% 1
5 DIPARTIMENTO SCI BASE PLCATE INGN 64693 0% 100% 1
6 ELIE CARTAN LORRAINE MATH 64693 0% 100% 1
7 IRMP MATH 64693 0% 100% 1
8 MATH MODELLING FN 12 64693 0% 100% 1
9 UMR7502INRIA 64693 0% 100% 1
10 ANAL NONLINEAIRE GEOMETRIE EA 2151 32345 0% 50% 1

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 COMMENTARII MATHEMATICI HELVETICI 34411 6% 2% 26
2 JOURNAL OF DIFFERENTIAL GEOMETRY 10919 4% 1% 17
3 JOURNAL OF SPECTRAL THEORY 6802 1% 3% 4
4 GEOMETRIC AND FUNCTIONAL ANALYSIS 6159 2% 1% 10
5 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 5910 2% 1% 9
6 JOURNAL OF GEOMETRIC ANALYSIS 5772 2% 1% 9
7 MANUSCRIPTA MATHEMATICA 4471 3% 0% 15
8 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 4019 3% 0% 15
9 DUKE MATHEMATICAL JOURNAL 3726 3% 0% 13
10 MATHEMATISCHE ZEITSCHRIFT 3687 4% 0% 17

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 LAPLACIAN ON FORMS 269551 1% 83% 5 Search LAPLACIAN+ON+FORMS Search LAPLACIAN+ON+FORMS
2 COLLAPSING OF RIEMANNIAN MANIFOLDS 258770 1% 100% 4 Search COLLAPSING+OF+RIEMANNIAN+MANIFOLDS Search COLLAPSING+OF+RIEMANNIAN+MANIFOLDS
3 BIPOLAR SURFACE 194078 1% 100% 3 Search BIPOLAR+SURFACE Search BIPOLAR+SURFACE
4 HIGHER ORDER AUTOMORPHIC FORMS 194078 1% 100% 3 Search HIGHER+ORDER+AUTOMORPHIC+FORMS Search HIGHER+ORDER+AUTOMORPHIC+FORMS
5 EXTREMAL METRIC 166830 1% 37% 7 Search EXTREMAL+METRIC Search EXTREMAL+METRIC
6 CONFORMAL VOLUME 145557 1% 75% 3 Search CONFORMAL+VOLUME Search CONFORMAL+VOLUME
7 OTSUKI TORI 145557 1% 75% 3 Search OTSUKI+TORI Search OTSUKI+TORI
8 CONFORMAL SPECTRUM 129385 0% 100% 2 Search CONFORMAL+SPECTRUM Search CONFORMAL+SPECTRUM
9 HIGHER ORDER FORMS 129385 0% 100% 2 Search HIGHER+ORDER+FORMS Search HIGHER+ORDER+FORMS
10 HIGHER ORDER MODULAR FORMS 129385 0% 100% 2 Search HIGHER+ORDER+MODULAR+FORMS Search HIGHER+ORDER+MODULAR+FORMS

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 SHI, YJ , YU, CJ , (2017) TRACE AND INVERSE TRACE OF STEKLOV EIGENVALUES II.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 262. ISSUE 3. P. 2592 -2607 16 100% 0
2 PENSKOI, AV , (2013) EXTREMAL METRICS FOR EIGENVALUES OF THE LAPLACE-BELTRAMI OPERATOR ON SURFACES.RUSSIAN MATHEMATICAL SURVEYS. VOL. 68. ISSUE 6. P. 1073 -1130 23 68% 4
3 JAMMES, P , (2011) PRESCRIPTION OF MULTIPLICITY OF LAPLACIAN HODGE-DE RHAM EIGENVALUES.COMMENTARII MATHEMATICI HELVETICI. VOL. 86. ISSUE 4. P. 967-984 17 94% 2
4 ANNE, C , TAKAHASHI, J , (2012) P-SPECTRUM AND COLLAPSING OF CONNECTED SUMS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 364. ISSUE 4. P. 1711-1735 19 79% 0
5 CAUSLEY, B , (2016) BIPOLAR LAWSON TAU-SURFACES AND GENERALIZED LAWSON TAU-SURFACES.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 12. ISSUE . P. - 16 84% 0
6 JAMMES, P , (2014) SPECTRUM AND GEOMETRY CONSISTENT COMPACT MANIFOLDS WITH BOUNDARY.COMPOSITIO MATHEMATICA. VOL. 150. ISSUE 12. P. 2112 -2126 17 81% 0
7 JAMMES, P , (2012) LOWER BOUND OF THE SPECTRUM ON HYPERBOLIC 3-MANIFOLDS.BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE. VOL. 140. ISSUE 2. P. 237-255 14 100% 0
8 SHI, YJ , YU, CJ , (2016) TRACE AND INVERSE TRACE OF STEKLOV EIGENVALUES.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 261. ISSUE 3. P. 2026 -2040 14 88% 0
9 COLBOIS, B , DRYDEN, EB , EL SOUFI, A , (2008) EXTREMAL G-INVARIANT EIGENVALUES OF THE LAPLACIAN OF G-INVARIANT METRICS.MATHEMATISCHE ZEITSCHRIFT. VOL. 258. ISSUE 1. P. 29-41 16 89% 6
10 KARPUKHIN, MA , (2014) SPECTRAL PROPERTIES OF BIPOLAR SURFACES TO OTSUKI TORI.JOURNAL OF SPECTRAL THEORY. VOL. 4. ISSUE 1. P. 87 -111 12 100% 4

Classes with closest relation at Level 1


Rank Class id link
1 26798 EUH PARK SEKIGAWA IDENTITY//PAPPUS FORMULAE//SINGER THORPE BASIS
2 13757 UNIVERSAL INEQUALITIES//EIGENVALUE RATIO//LIEB THIRRING INEQUALITIES
3 19508 DIRAC OPERATOR//CHARACTERISTIC CONNECTION//PARALLEL SPINORS
4 22454 MULTIPLE SINE FUNCTION//MULTIPLE GAMMA FUNCTION//SELBERG ZETA FUNCTION
5 18353 ANALYTIC TORSION//INDEX THEORY AND RELATED FIXED POINT THEOREMS//QUILLEN METRIC
6 21774 THIN DOMAINS//CONCENTRATING TERMS//DUMBBELL DOMAINS
7 13618 ZETA DETERMINANT//HEAT CONTENT ASYMPTOTICS//MANIFOLDS WITH CONICAL SINGULARITIES
8 19134 HECKE GROUPS//SUBORBITAL GRAPHS//EXTENDED HECKE GROUP
9 19740 ISOSPECTRALITY//LAPLACE SPECTRUM//ISOSPECTRAL
10 9891 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE

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