Class information for:
Level 1: GRONWALL CONJECTURE//LAGRANGE GRASSMANNIAN//TANAKA ALGEBRA

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
23947 329 17.3 31%



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
10 4 OPTICS//PHYSICS, PARTICLES & FIELDS//PHYSICS, MULTIDISCIPLINARY 1131262
52 3       PHYSICS, PARTICLES & FIELDS//JOURNAL OF HIGH ENERGY PHYSICS//NUCLEAR PHYSICS B 91295
2483 2             SOLITONS MONOPOLES AND INSTANTONS//G2 STRUCTURE//WILLIAM I FINE THEORET PHYS 3941
23947 1                   GRONWALL CONJECTURE//LAGRANGE GRASSMANNIAN//TANAKA ALGEBRA 329

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 GRONWALL CONJECTURE authKW 371248 1% 100% 4
2 LAGRANGE GRASSMANNIAN authKW 371248 1% 100% 4
3 TANAKA ALGEBRA authKW 371248 1% 100% 4
4 SUB RIEMANNIAN STRUCTURES authKW 296997 1% 80% 4
5 CURVES IN LAGRANGE GRASSMANNIANS authKW 278436 1% 100% 3
6 NULL SURFACES authKW 208826 1% 75% 3
7 EQUIPE ANAL COMPLEXE address 185624 1% 100% 2
8 GEOMETRIZATION OF ODES authKW 185624 1% 100% 2
9 JACOBI CURVES authKW 185624 1% 100% 2
10 LIES CLASS 1 authKW 185624 1% 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 Physics, Mathematical 2626 25% 0% 83
2 Mathematics 2166 36% 0% 117
3 Physics, Particles & Fields 1557 23% 0% 76
4 Astronomy & Astrophysics 975 23% 0% 77
5 Mathematics, Applied 822 21% 0% 68
6 Physics, Multidisciplinary 698 22% 0% 73
7 Automation & Control Systems 82 4% 0% 12
8 Computer Science, Cybernetics 2 0% 0% 1
9 Multidisciplinary Sciences 0 0% 0% 1
10 Computer Science, Information Systems -0 1% 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 EQUIPE ANAL COMPLEXE 185624 1% 100% 2
2 FAMAF 139741 9% 5% 31
3 INT FIZ TEORET 92812 0% 100% 1
4 M13 92812 0% 100% 1
5 MATH PHYS ANSTRON 92812 0% 100% 1
6 OSAKA CITY UNIV ADV MATH INSITITUTE 92812 0% 100% 1
7 PAUL PAINLEVE BAT M3 92812 0% 100% 1
8 ALEXANDER GROTHENDIECK 46405 0% 50% 1
9 FIZYKI TEORETCYCZNEJ 46405 0% 50% 1
10 IMAG UMR CNRS 5149 30936 0% 33% 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 JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 13863 2% 2% 8
2 CLASSICAL AND QUANTUM GRAVITY 11144 11% 0% 36
3 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 10994 4% 1% 12
4 JOURNAL OF GEOMETRY AND PHYSICS 9286 5% 1% 16
5 JOURNAL OF MATHEMATICAL PHYSICS 8398 12% 0% 38
6 GENERAL RELATIVITY AND GRAVITATION 4678 5% 0% 15
7 LIVING REVIEWS IN RELATIVITY 4263 1% 2% 2
8 ANALYSIS AND MATHEMATICAL PHYSICS 3436 0% 4% 1
9 GRAVITATION & COSMOLOGY 3375 1% 1% 4
10 JOURNAL OF GEOMETRIC MECHANICS 2346 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 GRONWALL CONJECTURE 371248 1% 100% 4 Search GRONWALL+CONJECTURE Search GRONWALL+CONJECTURE
2 LAGRANGE GRASSMANNIAN 371248 1% 100% 4 Search LAGRANGE+GRASSMANNIAN Search LAGRANGE+GRASSMANNIAN
3 TANAKA ALGEBRA 371248 1% 100% 4 Search TANAKA+ALGEBRA Search TANAKA+ALGEBRA
4 SUB RIEMANNIAN STRUCTURES 296997 1% 80% 4 Search SUB+RIEMANNIAN+STRUCTURES Search SUB+RIEMANNIAN+STRUCTURES
5 CURVES IN LAGRANGE GRASSMANNIANS 278436 1% 100% 3 Search CURVES+IN+LAGRANGE+GRASSMANNIANS Search CURVES+IN+LAGRANGE+GRASSMANNIANS
6 NULL SURFACES 208826 1% 75% 3 Search NULL+SURFACES Search NULL+SURFACES
7 GEOMETRIZATION OF ODES 185624 1% 100% 2 Search GEOMETRIZATION+OF+ODES Search GEOMETRIZATION+OF+ODES
8 JACOBI CURVES 185624 1% 100% 2 Search JACOBI+CURVES Search JACOBI+CURVES
9 LIES CLASS 1 185624 1% 100% 2 Search LIES+CLASS+1 Search LIES+CLASS+1
10 MAGNETIC FIELD ON RIEMANNIAN MANIFOLDS 185624 1% 100% 2 Search MAGNETIC+FIELD+ON+RIEMANNIAN+MANIFOLDS Search MAGNETIC+FIELD+ON+RIEMANNIAN+MANIFOLDS

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 ADAMO, TM , NEWMAN, ET , KOZAMEH, C , (2012) NULL GEODESIC CONGRUENCES, ASYMPTOTICALLY-FLAT SPACETIMES AND THEIR PHYSICAL INTERPRETATION.LIVING REVIEWS IN RELATIVITY. VOL. 15. ISSUE . P. - 21 68% 8
2 GALLO, E , (2012) HIGHER DIMENSIONAL CONFORMAL METRICS FROM PDES AND NULL-SURFACE FORMULATION OF GR.CLASSICAL AND QUANTUM GRAVITY. VOL. 29. ISSUE 14. P. - 16 89% 0
3 ADAMO, TM , KOZAMEH, C , NEWMAN, ET , (2009) NULL GEODESIC CONGRUENCES, ASYMPTOTICALLY-FLAT SPACETIMES AND THEIR PHYSICAL INTERPRETATION.LIVING REVIEWS IN RELATIVITY. VOL. 12. ISSUE . P. - 15 83% 12
4 KRYNSKI, W , (2016) PARACONFORMAL STRUCTURES, ORDINARY DIFFERENTIAL EQUATIONS AND TOTALLY GEODESIC MANIFOLDS.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 103. ISSUE . P. 1 -19 15 68% 0
5 KRUGLIKOV, B , THE, D , (2017) THE GAP PHENOMENON IN PARABOLIC GEOMETRIES.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 723. ISSUE . P. 153 -215 6 60% 4
6 GALLO, E , MARCIANO-MELCHOR, M , SILVA-ORTIGOZA, G , (2007) N-DIMENSIONAL GEOMETRIES AND EINSTEIN EQUATIONS FROM SYSTEMS OF PDE'S.INTERNATIONAL JOURNAL OF MODERN PHYSICS D. VOL. 16. ISSUE 11. P. 1725-1734 13 93% 0
7 DOUBROV, B , ZELENKO, I , (2014) GEOMETRY OF RANK 2 DISTRIBUTIONS WITH NONZERO WILCZYNSKI INVARIANTS.JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. VOL. 21. ISSUE 2. P. 166 -187 11 85% 0
8 GALLO, E , (2004) TWO-DIMENSIONAL RIEMANNIAN AND LORENTZIAN GEOMETRIES FROM SECOND-ORDER ODE'S.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 45. ISSUE 11. P. 4186-4190 12 100% 1
9 FRITTELLI, S , KAMRAN, N , KOZAMEH, C , NEWMAN, ET , (2005) NULL SURFACES AND CONTACT GEOMETRY.JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS. VOL. 2. ISSUE 2. P. 481-496 12 92% 1
10 MARCIANO-MELCHOR, M , NEWMAN, ET , SILVA-ORTIGOZA, G , (2005) 4D CONFORMAL METRICS, THE EIKONAL EQUATION AND FOURTH-ORDER ODES.CLASSICAL AND QUANTUM GRAVITY. VOL. 22. ISSUE 23. P. 5073-5088 12 92% 0

Classes with closest relation at Level 1



Rank Class id link
1 36702 COMPLEX KLEINIAN GROUPS//PROJECTIVE COMPLEX PLANE//LIMIT SET
2 27934 INFELD VAN DER WAERDEN FORMALISMS//NONDEGENERATE SUBMANIFOLD//PEIERLS BRACKET
3 19987 UNIT IND AUTOMAT//DIFFERENTIAL FLATNESS//FLATNESS
4 23019 GENERALIZED RIEMANNIAN SPACE//GEODESIC MAPPING//GEODESICALLY EQUIVALENT METRICS
5 30050 RESIDUE CURRENT//COLEFF HERRERA CURRENT//KOPPELMAN LERAY NORGUET FORMULA
6 10630 LIE SYSTEM//GEODYSYC//SUPERPOSITION RULE
7 35025 VANISHING HESSIAN//SCORZA VARIETY//ACCOMMODATION AND RESISTANCE
8 14419 22 DIMENSIONS//N2 STRING//22 FORMALISM
9 17441 KUNDT//CLASSICAL AND QUANTUM GRAVITY//ALGEBRAIC CLASSIFICATION
10 28706 ORTHOSYMPLECTIC SUPERALGEBRA//WEIGHTED DENSITIES//POISSON SUPERALGEBRA

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