Class information for:
Level 1: DIRAC OPERATOR//CHARACTERISTIC CONNECTION//PARALLEL SPINORS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19508 502 19.1 39%


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
19508 1                   DIRAC OPERATOR//CHARACTERISTIC CONNECTION//PARALLEL SPINORS 502

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 DIRAC OPERATOR authKW 1330545 20% 22% 98
2 CHARACTERISTIC CONNECTION authKW 486611 2% 100% 8
3 PARALLEL SPINORS authKW 398125 2% 55% 12
4 SPINC STRUCTURES authKW 331163 1% 78% 7
5 GENERALIZED KILLING SPINORS authKW 312819 1% 86% 6
6 KILLING SPINORS authKW 277812 3% 35% 13
7 EINSTEIN DIRAC EQUATION authKW 253441 1% 83% 5
8 SKEW SYMMETRIC TORSION authKW 248368 1% 58% 7
9 RIEMANNIAN SPIN MANIFOLD authKW 243305 1% 100% 4
10 SITZ WBC ADLERSHOF address 243305 1% 100% 4

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 15129 74% 0% 372
2 Physics, Mathematical 3283 23% 0% 115
3 Mathematics, Applied 2063 26% 0% 131
4 Multidisciplinary Sciences 2 1% 0% 3
5 Physics, Particles & Fields 1 1% 0% 7
6 Physics, Multidisciplinary 0 2% 0% 10
7 Automation & Control Systems -1 0% 0% 1
8 Operations Research & Management Science -1 0% 0% 1
9 Astronomy & Astrophysics -1 1% 0% 5
10 Statistics & Probability -1 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 SITZ WBC ADLERSHOF 243305 1% 100% 4
2 REINE MATH 186344 2% 26% 12
3 ELIE CARTAN 85748 6% 5% 30
4 GEOMETRIE TOPOL 61778 2% 13% 8
5 ARBEITSGRP DIFFERENTIALGEOMETRIE 60826 0% 100% 1
6 DM IMECC 60826 0% 100% 1
7 FB MATH SPAD 60826 0% 100% 1
8 FIZ TEIRETYCZNEJ 60826 0% 100% 1
9 FIZYKI THEORET 60826 0% 100% 1
10 FUER MATH 60826 0% 100% 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 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 121297 8% 5% 42
2 JOURNAL OF GEOMETRY AND PHYSICS 82919 12% 2% 59
3 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 31292 5% 2% 25
4 MATHEMATISCHE ZEITSCHRIFT 5296 4% 0% 21
5 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 4826 5% 0% 26
6 MATHEMATISCHE ANNALEN 4176 4% 0% 18
7 COMMUNICATIONS IN MATHEMATICAL PHYSICS 3591 4% 0% 22
8 INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 2981 2% 1% 8
9 ADVANCES IN APPLIED CLIFFORD ALGEBRAS 2639 1% 1% 5
10 ANNALS OF MATHEMATICS STUDIES 2449 1% 1% 3

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 DIRAC OPERATOR 1330545 20% 22% 98 Search DIRAC+OPERATOR Search DIRAC+OPERATOR
2 CHARACTERISTIC CONNECTION 486611 2% 100% 8 Search CHARACTERISTIC+CONNECTION Search CHARACTERISTIC+CONNECTION
3 PARALLEL SPINORS 398125 2% 55% 12 Search PARALLEL+SPINORS Search PARALLEL+SPINORS
4 SPINC STRUCTURES 331163 1% 78% 7 Search SPINC+STRUCTURES Search SPINC+STRUCTURES
5 GENERALIZED KILLING SPINORS 312819 1% 86% 6 Search GENERALIZED+KILLING+SPINORS Search GENERALIZED+KILLING+SPINORS
6 KILLING SPINORS 277812 3% 35% 13 Search KILLING+SPINORS Search KILLING+SPINORS
7 EINSTEIN DIRAC EQUATION 253441 1% 83% 5 Search EINSTEIN+DIRAC+EQUATION Search EINSTEIN+DIRAC+EQUATION
8 SKEW SYMMETRIC TORSION 248368 1% 58% 7 Search SKEW+SYMMETRIC+TORSION Search SKEW+SYMMETRIC+TORSION
9 RIEMANNIAN SPIN MANIFOLD 243305 1% 100% 4 Search RIEMANNIAN+SPIN+MANIFOLD Search RIEMANNIAN+SPIN+MANIFOLD
10 ISOMETRIC IMMERSIONS 218958 2% 30% 12 Search ISOMETRIC+IMMERSIONS Search ISOMETRIC+IMMERSIONS

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 (2009) BASICS OF SPIN GEOMETRY.DIRAC SPECTRUM. VOL. 1976. ISSUE . P. 1 -+ 76 77% 0
2 GROSSE, N , NAKAD, R , (2015) COMPLEX GENERALIZED KILLING SPINORS ON RIEMANNIAN SPIN (C) MANIFOLDS.RESULTS IN MATHEMATICS. VOL. 67. ISSUE 1-2. P. 177 -195 23 85% 0
3 GONG, WM , LU, GC , (2016) TWO NEW ESTIMATES FOR EIGENVALUES OF DIRAC OPERATORS.ANNALES POLONICI MATHEMATICI. VOL. 117. ISSUE 2. P. 109 -126 18 95% 0
4 CHRYSIKOS, I , (2016) KILLING AND TWISTOR SPINORS WITH TORSION.ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. VOL. 49. ISSUE 2. P. 105 -141 21 72% 0
5 KIM, EC , (2016) SASAKIAN TWISTOR SPINORS AND THE FIRST DIRAC EIGENVALUE.JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 53. ISSUE 6. P. 1347 -1370 13 100% 0
6 MILHORAT, JL , (2015) ON A CHARACTERISTIC OF THE FIRST EIGENVALUE OF THE DIRAC OPERATOR ON COMPACT SPIN SYMMETRIC SPACES WITH A KAHLER OR QUATERNION-KAHLER STRUCTURE.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 90. ISSUE . P. 11 -28 14 93% 0
7 ROOS, S , (2017) EIGENVALUE PINCHING ON SPIN(C) MANIFOLDS.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 112. ISSUE . P. 59 -73 14 88% 0
8 KIM, EC , (2014) EIGENVALUE ESTIMATES FOR GENERALIZED DIRAC OPERATORS ON SASAKIAN MANIFOLDS.ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. VOL. 45. ISSUE 1. P. 67-93 13 100% 0
9 NAKAD, R , PILCA, M , (2015) EIGENVALUE ESTIMATES OF THE SPIN(C) DIRAC OPERATOR AND HARMONIC FORMS ON KAHLER-EINSTEIN MANIFOLDS.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 11. ISSUE . P. - 18 69% 0
10 NAKAD, R , ROTH, J , (2015) LOWER BOUNDS FOR THE EIGENVALUES OF THE SPIN (C) DIRAC OPERATOR ON SUBMANIFOLDS.ARCHIV DER MATHEMATIK. VOL. 104. ISSUE 5. P. 451 -461 12 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 16251 G2 STRUCTURE//G2 MANIFOLDS//HOLONOMY ALGEBRA
2 7600 Q CURVATURE//CRITICAL POINTS AT INFINITY//YAMABE PROBLEM
3 34098 FLAT MANIFOLD//BIEBERBACH GROUPS//COMPACT FLAT MANIFOLDS
4 20186 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE
5 7799 PENROSE INEQUALITY//EINSTEIN CONSTRAINT EQUATIONS//QUASI LOCAL MASS
6 7222 SOLVMANIFOLD//TWISTOR SPACES//MATEMAT SIMION STOILOW
7 26798 EUH PARK SEKIGAWA IDENTITY//PAPPUS FORMULAE//SINGER THORPE BASIS
8 10155 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//BAUM CONNES CONJECTURE
9 19910 SMALL COVER//QUASITORIC MANIFOLD//ELLIPTIC GENERA
10 13618 ZETA DETERMINANT//HEAT CONTENT ASYMPTOTICS//MANIFOLDS WITH CONICAL SINGULARITIES

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