Class information for:
Level 1: GENERALIZED RIEMANNIAN SPACE//GEODESIC MAPPING//GEODESICALLY EQUIVALENT METRICS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23019 361 19.7 24%


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
299 3       PHYSICS, MATHEMATICAL//JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS//BACKLUND TRANSFORMATION 41113
1529 2             LIMIT CYCLE//ABELIAN INTEGRALS//ISOCHRONOUS CENTER 7469
23019 1                   GENERALIZED RIEMANNIAN SPACE//GEODESIC MAPPING//GEODESICALLY EQUIVALENT METRICS 361

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 GENERALIZED RIEMANNIAN SPACE authKW 1015017 3% 100% 12
2 GEODESIC MAPPING authKW 840866 4% 76% 13
3 GEODESICALLY EQUIVALENT METRICS authKW 787286 3% 85% 11
4 PROJECTIVELY EQUIVALENT METRICS authKW 622848 2% 82% 9
5 EQUITORSION GEODESIC MAPPING authKW 592093 2% 100% 7
6 INFINITESIMAL BENDING authKW 527023 2% 69% 9
7 ALMOST GEODESIC MAPPING authKW 518080 2% 88% 7
8 PONCELET THEOREM authKW 422924 1% 100% 5
9 SMOOTHNESS CLASS authKW 422924 1% 100% 5
10 GENERALIZED KAHLERIAN SPACE authKW 338339 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 9862 71% 0% 255
2 Mathematics, Applied 2300 32% 0% 116
3 Physics, Mathematical 1128 16% 0% 58
4 Mechanics 62 6% 0% 20
5 Physics, Multidisciplinary 37 6% 0% 23
6 Multidisciplinary Sciences 4 1% 0% 3
7 Mathematics, Interdisciplinary Applications 1 1% 0% 3
8 History & Philosophy of Science 1 0% 0% 1
9 Automation & Control Systems 0 1% 0% 2
10 Computer Science, Theory & Methods -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 ARTS SCI MATH SCI 84585 0% 100% 1
2 DIFFERENTIAL EQUAITONS 84585 0% 100% 1
3 FEODOSIYA POLYTECH 84585 0% 100% 1
4 KATEDRA MATEMAT STOSOWANEJ 84585 0% 100% 1
5 MATH DIFFERENTIAL EQUAT 84585 0% 100% 1
6 MATH PHYS GMUP 84585 0% 100% 1
7 SORBONNE UNIVCNRSIMJ PRGUMR 7586 84585 0% 100% 1
8 MATH PHYS GRP 58731 1% 14% 5
9 MATH SANU 47574 1% 19% 3
10 UNITE ASSOCIEE URA 280 28194 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 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 57070 7% 3% 24
2 FILOMAT 19522 5% 1% 17
3 PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD 5761 1% 2% 3
4 JOURNAL OF GEOMETRY AND PHYSICS 5580 4% 1% 13
5 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA 5225 2% 1% 8
6 JOURNAL OF CONVEX ANALYSIS 4851 2% 1% 7
7 REGULAR & CHAOTIC DYNAMICS 4493 2% 1% 6
8 MATHEMATICAL NOTES 4327 4% 0% 16
9 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 3403 2% 1% 7
10 MISKOLC MATHEMATICAL NOTES 3245 1% 1% 4

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 GENERALIZED RIEMANNIAN SPACE 1015017 3% 100% 12 Search GENERALIZED+RIEMANNIAN+SPACE Search GENERALIZED+RIEMANNIAN+SPACE
2 GEODESIC MAPPING 840866 4% 76% 13 Search GEODESIC+MAPPING Search GEODESIC+MAPPING
3 GEODESICALLY EQUIVALENT METRICS 787286 3% 85% 11 Search GEODESICALLY+EQUIVALENT+METRICS Search GEODESICALLY+EQUIVALENT+METRICS
4 PROJECTIVELY EQUIVALENT METRICS 622848 2% 82% 9 Search PROJECTIVELY+EQUIVALENT+METRICS Search PROJECTIVELY+EQUIVALENT+METRICS
5 EQUITORSION GEODESIC MAPPING 592093 2% 100% 7 Search EQUITORSION+GEODESIC+MAPPING Search EQUITORSION+GEODESIC+MAPPING
6 INFINITESIMAL BENDING 527023 2% 69% 9 Search INFINITESIMAL+BENDING Search INFINITESIMAL+BENDING
7 ALMOST GEODESIC MAPPING 518080 2% 88% 7 Search ALMOST+GEODESIC+MAPPING Search ALMOST+GEODESIC+MAPPING
8 PONCELET THEOREM 422924 1% 100% 5 Search PONCELET+THEOREM Search PONCELET+THEOREM
9 SMOOTHNESS CLASS 422924 1% 100% 5 Search SMOOTHNESS+CLASS Search SMOOTHNESS+CLASS
10 GENERALIZED KAHLERIAN SPACE 338339 1% 100% 4 Search GENERALIZED+KAHLERIAN+SPACE Search GENERALIZED+KAHLERIAN+SPACE

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 KIOSAK, V , MATVEEV, VS , (2010) PROOF OF THE PROJECTIVE LICHNEROWICZ CONJECTURE FOR PSEUDO-RIEMANNIAN METRICS WITH DEGREE OF MOBILITY GREATER THAN TWO.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 297. ISSUE 2. P. 401-426 27 82% 8
2 MATVEEV, VS , (2012) TWO-DIMENSIONAL METRICS ADMITTING PRECISELY ONE PROJECTIVE VECTOR FIELD.MATHEMATISCHE ANNALEN. VOL. 352. ISSUE 4. P. 865 -909 21 91% 1
3 DRAGOVIC, V , RADNOVIC, M , (2014) BICENTENNIAL OF THE GREAT PONCELET THEOREM (1813-2013): CURRENT ADVANCES.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 51. ISSUE 3. P. 373-445 19 83% 4
4 MATVEEV, VS , (2012) PSEUDO-RIEMANNIAN METRICS ON CLOSED SURFACES WHOSE GEODESIC FLOWS ADMIT NONTRIVIAL INTEGRALS QUADRATIC IN MOMENTA, AND PROOF OF THE PROJECTIVE OBATA CONJECTURE FOR TWO-DIMENSIONAL PSEUDO-RIEMANNIAN METRICS.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. VOL. 64. ISSUE 1. P. 107 -152 22 73% 1
5 KIOSAK, V , MATVEEV, V , (2009) COMPLETE EINSTEIN METRICS ARE GEODESICALLY RIGID.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 289. ISSUE 1. P. 383 -400 20 77% 15
6 BOLSINOV, AV , KIOSAK, V , MATVEEV, VS , (2009) A FUBINI THEOREM FOR PSEUDO-RIEMANNIAN GEODESICALLY EQUIVALENT METRICS.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 80. ISSUE . P. 341 -356 17 89% 4
7 RAMIREZ-ROS, R , (2014) ON CAYLEY CONDITIONS FOR BILLIARDS INSIDE ELLIPSOIDS.NONLINEARITY. VOL. 27. ISSUE 5. P. 1003-1028 14 93% 0
8 JOVANOVIC, B , JOVANOVIC, V , (2015) GEODESIC AND BILLIARD FLOWS ON QUADRICS IN PSEUDO-EUCLIDEAN SPACES: L-A PAIRS AND CHASLES THEOREM.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 15. P. 6618 -6638 14 88% 0
9 MATVEEV, VS , (2005) LICHNEROWICZ-OBATA CONJECTURE IN DIMENSION TWO.COMMENTARII MATHEMATICI HELVETICI. VOL. 80. ISSUE 3. P. 541-570 15 100% 7
10 MATVEEV, VS , (2007) PROOF OF THE PROJECTIVE LICHNEROWICZ-OBATA CONJECTURE.JOURNAL OF DIFFERENTIAL GEOMETRY. VOL. 75. ISSUE 3. P. 459-502 20 69% 11

Classes with closest relation at Level 1


Rank Class id link
1 16441 RICCI COLLINEATIONS//MATTER COLLINEATIONS//TELEPARALLEL KILLING VECTOR FIELDS
2 9876 KOWALEVSKI TOP//INTEGRABLE HAMILTONIAN SYSTEMS//ISOSPECTRAL FLOW
3 12667 SUPERINTEGRABILITY//SUPERINTEGRABLE SYSTEMS//STACKEL SYSTEMS
4 24086 UMR 8101//HAMILTONIAN MONODROMY//ENERGY MOMENTUM MAP
5 23947 GRONWALL CONJECTURE//LAGRANGE GRASSMANNIAN//TANAKA ALGEBRA
6 22938 SIGMA FUNCTION//ELLIPTIC SOLITONS//ABELIAN FUNCTIONS
7 25422 HIGH ENERGY ASTROPHYS ADV TECHNOL//NUCL STUDIES BORDEAUX IGNAN//NUCLEAR BILLIARDS
8 28574 BODY OF MINIMAL RESISTANCE//NEWTONS PROBLEM//MODIFIED RAYLEIGH CONJECTURE
9 31934 RAPIDLY VARYING SEQUENCE//RAPIDLY VARYING FUNCTION//REGULARLY VARYING SEQUENCE
10 11264 NONHOLONOMIC MECHANICS//REGULAR & CHAOTIC DYNAMICS//SPHERICAL ROBOT

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