Class information for:
Level 1: EUH PARK SEKIGAWA IDENTITY//PAPPUS FORMULAE//SINGER THORPE BASIS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26798 245 17.6 28%


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
26798 1                   EUH PARK SEKIGAWA IDENTITY//PAPPUS FORMULAE//SINGER THORPE BASIS 245

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 EUH PARK SEKIGAWA IDENTITY authKW 498536 2% 100% 4
2 PAPPUS FORMULAE authKW 373902 1% 100% 3
3 SINGER THORPE BASIS authKW 373902 1% 100% 3
4 NATURAL TENSORS authKW 280425 1% 75% 3
5 2 STEIN MANIFOLD authKW 249268 1% 100% 2
6 EULER LAGRANGE FORMULAS authKW 249268 1% 100% 2
7 GENERALIZED EINSTEIN METRICS authKW 249268 1% 100% 2
8 GENERALIZED GAUSS BONNET FORMULA authKW 249268 1% 100% 2
9 NATURAL BUNDLES authKW 224339 1% 60% 3
10 CHERN GAUSS BONNET THEOREM authKW 186948 1% 50% 3

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 9751 85% 0% 208
2 Mathematics, Applied 675 22% 0% 53
3 Physics, Mathematical 317 11% 0% 26
4 Statistics & Probability 9 2% 0% 5
5 Multidisciplinary Sciences 8 1% 0% 3
6 Computer Science, Interdisciplinary Applications -0 0% 0% 1
7 Physics, Multidisciplinary -3 0% 0% 1

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 MATEMAT ECONOMICOEMP ARIALES 124634 0% 100% 1
2 MOTRICIDADE HUMANA TU LISBON 20771 0% 17% 1
3 MATEMAT ECON EMP ARIAL 15578 0% 13% 1
4 GEOMETRIA TOPOL 10368 4% 1% 9
5 ECON FINANCIERA MATEMAT 9585 0% 8% 1
6 MATEMAT ECON EMP A 8742 1% 4% 2
7 FIS INTERACCOES FUNDAMENTALS 7788 0% 6% 1
8 MATEMAT IME 6922 0% 6% 1
9 GEOMET TOPOL 4019 0% 3% 1
10 CULTURE EDUC 3073 1% 1% 2

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 JOURNAL OF GEOMETRY AND PHYSICS 7014 5% 0% 12
2 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 3687 2% 0% 6
3 JOURNAL OF GEOMETRIC ANALYSIS 3433 2% 1% 5
4 MICHIGAN MATHEMATICAL JOURNAL 2142 2% 0% 5
5 SIBERIAN MATHEMATICAL JOURNAL 2014 3% 0% 7
6 MATHEMATISCHE NACHRICHTEN 1980 3% 0% 8
7 INDIANA UNIVERSITY MATHEMATICS JOURNAL 1876 2% 0% 6
8 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 1780 2% 0% 5
9 ILLINOIS JOURNAL OF MATHEMATICS 1698 2% 0% 5
10 PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-PHYSICAL SCIENCES 1291 1% 1% 2

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 EUH PARK SEKIGAWA IDENTITY 498536 2% 100% 4 Search EUH+PARK+SEKIGAWA+IDENTITY Search EUH+PARK+SEKIGAWA+IDENTITY
2 PAPPUS FORMULAE 373902 1% 100% 3 Search PAPPUS+FORMULAE Search PAPPUS+FORMULAE
3 SINGER THORPE BASIS 373902 1% 100% 3 Search SINGER+THORPE+BASIS Search SINGER+THORPE+BASIS
4 NATURAL TENSORS 280425 1% 75% 3 Search NATURAL+TENSORS Search NATURAL+TENSORS
5 2 STEIN MANIFOLD 249268 1% 100% 2 Search 2+STEIN+MANIFOLD Search 2+STEIN+MANIFOLD
6 EULER LAGRANGE FORMULAS 249268 1% 100% 2 Search EULER+LAGRANGE+FORMULAS Search EULER+LAGRANGE+FORMULAS
7 GENERALIZED EINSTEIN METRICS 249268 1% 100% 2 Search GENERALIZED+EINSTEIN+METRICS Search GENERALIZED+EINSTEIN+METRICS
8 GENERALIZED GAUSS BONNET FORMULA 249268 1% 100% 2 Search GENERALIZED+GAUSS+BONNET+FORMULA Search GENERALIZED+GAUSS+BONNET+FORMULA
9 NATURAL BUNDLES 224339 1% 60% 3 Search NATURAL+BUNDLES Search NATURAL+BUNDLES
10 CHERN GAUSS BONNET THEOREM 186948 1% 50% 3 Search CHERN+GAUSS+BONNET+THEOREM Search CHERN+GAUSS+BONNET+THEOREM

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 KUMURA, H , (2011) THE RADIAL CURVATURE OF AN END THAT MAKES EIGENVALUES VANISH IN THE ESSENTIAL SPECTRUM II.BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. VOL. 43. ISSUE . P. 985 -1003 10 100% 2
2 GILKEY, PB , PARK, J , SEKIGAWA, K , (2016) UNIVERSAL CURVATURE IDENTITIES AND EULER-LAGRANGE FORMULAS FOR KAHLER MANIFOLDS.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. VOL. 68. ISSUE 2. P. 459 -487 8 100% 0
3 CHARALAMBOUS, N , LU, ZQ , (2014) ON THE SPECTRUM OF THE LAPLACIAN.MATHEMATISCHE ANNALEN. VOL. 359. ISSUE 1-2. P. 211 -238 10 77% 4
4 KUMURA, H , (2010) THE RADIAL CURVATURE OF AN END THAT MAKES EIGENVALUES VANISH IN THE ESSENTIAL SPECTRUM I.MATHEMATISCHE ANNALEN. VOL. 346. ISSUE 4. P. 795 -828 9 90% 6
5 MONTE, LAC , MONTENEGRO, JFB , (2015) ESSENTIAL SPECTRUM OF A CLASS OF RIEMANNIAN MANIFOLDS.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 25. ISSUE 4. P. 2241 -2261 7 100% 0
6 DOMINGO-JUAN, M , MIQUEL, V , (2014) BOUNDING THE FIRST DIRICHLET EIGENVALUE OF A TUBE AROUND A COMPLEX SUBMANIFOLD OF A",P (N) (LAMBDA) IN TERMS OF THE DEGREES OF THE POLYNOMIALS DEFINING IT.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 24. ISSUE 1. P. 92-103 10 71% 0
7 KUMURA, H , (2012) PERTURBATION OF A WARPED PRODUCT METRIC OF AN END AND THE GROWTH PROPERTY OF SOLUTIONS TO EIGENVALUE EQUATIONS.KYOTO JOURNAL OF MATHEMATICS. VOL. 52. ISSUE 2. P. 249-276 10 71% 0
8 KUMURA, H , (2005) ON THE ESSENTIAL SPECTRUM OF THE LAPLACIAN AND VAGUE CONVERGENCE OF THE CURVATURE AT INFINITY.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. VOL. 30. ISSUE 11. P. 1555 -1565 9 82% 3
9 DONNELLY, H , (2010) SPECTRAL THEORY OF COMPLETE RIEMANNIAN MANIFOLDS.PURE AND APPLIED MATHEMATICS QUARTERLY. VOL. 6. ISSUE 2. P. 439 -456 9 69% 0
10 DOMINGO-JUAN, MC , LLUCH, A , MIQUEL, V , (2011) UPPER BOUNDS FOR THE FIRST DIRICHLET EIGENVALUE OF A TUBE AROUND AN ALGEBRAIC COMPLEX CURVE OF A",P (N) (LAMBDA).ISRAEL JOURNAL OF MATHEMATICS. VOL. 183. ISSUE 1. P. 189-198 7 78% 0

Classes with closest relation at Level 1


Rank Class id link
1 20186 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE
2 9891 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE
3 19508 DIRAC OPERATOR//CHARACTERISTIC CONNECTION//PARALLEL SPINORS
4 1791 CONSTANT MEAN CURVATURE//SPACELIKE HYPERSURFACE//GEOMETRIA TOPOL
5 21095 NPC SPACE//CARTAN HADAMARD MANIFOLD//ADMISSIBLE CONVERGENCE
6 19740 ISOSPECTRALITY//LAPLACE SPECTRUM//ISOSPECTRAL
7 14498 PRIME ORBIT THEOREM//1D DIRAC//RESONANCES
8 5691 QUASI EINSTEIN MANIFOLD//SASAKI METRIC//ALMOST KENMOTSU MANIFOLD
9 21774 THIN DOMAINS//CONCENTRATING TERMS//DUMBBELL DOMAINS
10 13618 ZETA DETERMINANT//HEAT CONTENT ASYMPTOTICS//MANIFOLDS WITH CONICAL SINGULARITIES

Go to start page