Class information for:
Level 1: LEGENDRIAN SINGULARITIES//PRINCIPAL CURVATURE LINES//GRP MATH SCI

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7469 1364 16.5 30%


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
325 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA 38375
1540 2             MATHEMATICS//JACOBIAN CONJECTURE//O MINIMAL STRUCTURES 7449
7469 1                   LEGENDRIAN SINGULARITIES//PRINCIPAL CURVATURE LINES//GRP MATH SCI 1364

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 LEGENDRIAN SINGULARITIES authKW 201465 1% 100% 9
2 PRINCIPAL CURVATURE LINES authKW 179080 1% 100% 8
3 GRP MATH SCI address 137106 1% 88% 7
4 LEGENDRIAN DUALITIES authKW 115121 0% 86% 6
5 LIGHTCONE authKW 115121 0% 86% 6
6 UMBILIC POINT authKW 113316 1% 56% 9
7 BINARY DIFFERENTIAL EQUATIONS authKW 111925 0% 100% 5
8 LINES OF PRINCIPAL CURVATURE authKW 111925 0% 100% 5
9 ASYMPTOTIC CURVES authKW 102324 1% 57% 8
10 LIGHTLIKE HYPERSURFACE authKW 100305 1% 41% 11

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 60281 89% 0% 1219
2 Mathematics, Applied 5214 25% 0% 344
3 Physics, Mathematical 179 4% 0% 53
4 Multidisciplinary Sciences 27 1% 0% 14
5 Automation & Control Systems 7 1% 0% 12
6 Computer Science, Theory & Methods 2 1% 0% 14
7 History of Social Sciences 0 0% 0% 1
8 Computer Science, Cybernetics -0 0% 0% 1
9 Computer Science, Artificial Intelligence -1 0% 0% 6
10 Imaging Science & Photographic Technology -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 GRP MATH SCI 137106 1% 88% 7
2 GEOMETRIA TOPOL 85580 4% 6% 61
3 EQUIPE GEOMETRIE DYNAM 32547 1% 18% 8
4 ICMC SME 29845 0% 67% 2
5 ICMC 28864 2% 5% 24
6 CIECIAS MATEMAT SAO CARLOS 22385 0% 100% 1
7 CNRS URA 742 22385 0% 100% 1
8 EDUCATON 22385 0% 100% 1
9 GEOMETRIA TOP 22385 0% 100% 1
10 GETODIM MATH 22385 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 PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS 50514 2% 7% 33
2 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 28525 3% 3% 47
3 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 16773 4% 2% 49
4 QUARTERLY JOURNAL OF MATHEMATICS 13053 2% 2% 29
5 TOPOLOGY 11580 2% 2% 26
6 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 9412 3% 1% 39
7 PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 8702 2% 1% 28
8 MATHEMATISCHE ANNALEN 7961 3% 1% 41
9 BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY 7823 1% 3% 13
10 GEOMETRIAE DEDICATA 7148 2% 1% 31

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 LEGENDRIAN SINGULARITIES 201465 1% 100% 9 Search LEGENDRIAN+SINGULARITIES Search LEGENDRIAN+SINGULARITIES
2 PRINCIPAL CURVATURE LINES 179080 1% 100% 8 Search PRINCIPAL+CURVATURE+LINES Search PRINCIPAL+CURVATURE+LINES
3 LEGENDRIAN DUALITIES 115121 0% 86% 6 Search LEGENDRIAN+DUALITIES Search LEGENDRIAN+DUALITIES
4 LIGHTCONE 115121 0% 86% 6 Search LIGHTCONE Search LIGHTCONE
5 UMBILIC POINT 113316 1% 56% 9 Search UMBILIC+POINT Search UMBILIC+POINT
6 BINARY DIFFERENTIAL EQUATIONS 111925 0% 100% 5 Search BINARY+DIFFERENTIAL+EQUATIONS Search BINARY+DIFFERENTIAL+EQUATIONS
7 LINES OF PRINCIPAL CURVATURE 111925 0% 100% 5 Search LINES+OF+PRINCIPAL+CURVATURE Search LINES+OF+PRINCIPAL+CURVATURE
8 ASYMPTOTIC CURVES 102324 1% 57% 8 Search ASYMPTOTIC+CURVES Search ASYMPTOTIC+CURVES
9 LIGHTLIKE HYPERSURFACE 100305 1% 41% 11 Search LIGHTLIKE+HYPERSURFACE Search LIGHTLIKE+HYPERSURFACE
10 FINITE DETERMINACY 99710 1% 64% 7 Search FINITE+DETERMINACY Search FINITE+DETERMINACY

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 IZUMIYA, S , DEL CARMEN ROMERO FUSTER, M , (2007) THE LIGHTLIKE FLAT GEOMETRY ON SPACELIKE SUBMANIFOLDS OF CODIMENSION TWO IN MINKOWSKI SPACE.SELECTA MATHEMATICA-NEW SERIES. VOL. 13. ISSUE 1. P. 23-55 23 88% 8
2 IZUMIYA, S , TARI, F , (2010) PROJECTIONS OF SURFACES IN THE HYPERBOLIC SPACE ALONG HOROCYCLES.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. VOL. 140. ISSUE . P. 399-418 20 91% 1
3 ROMERO-FUSTER, MC , RUAS, MAS , TARI, F , (2008) ASYMPTOTIC CURVES ON SURFACES IN R-5.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. VOL. 10. ISSUE 3. P. 309 -335 19 100% 4
4 IZUMIYA, S , YILDIRIM, H , (2015) SLANT GEOMETRY ON SPACELIKE SUBMANIFOLDS OF CODIMENSION TWO IN LORENTZ-MINKOWSKI SPACE.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 98. ISSUE . P. 160 -180 16 100% 0
5 MARTINS, LD , SAJI, K , (2016) GEOMETRIC INVARIANTS OF CUSPIDAL EDGES.CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. VOL. 68. ISSUE 2. P. 445 -462 14 100% 1
6 SINHA, RO , RUAS, MAS , ATIQUE, RW , (2016) ON THE SIMPLICITY OF MULTIGERMS.MATHEMATICA SCANDINAVICA. VOL. 119. ISSUE 2. P. 197 -222 16 94% 0
7 RIEGER, JH , RUAS, MAS , ATIQUE, RW , (2008) M-DEFORMATIONS OF A-SIMPLE GERMS FROM R-N TO RN+1.MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. VOL. 144. ISSUE . P. 181 -195 18 100% 0
8 IZUMIYA, S , (2009) LEGENDRIAN DUALITIES AND SPACELIKE HYPERSURFACES IN THE LIGHTCONE.MOSCOW MATHEMATICAL JOURNAL. VOL. 9. ISSUE 2. P. 325-357 19 86% 16
9 SINHA, RO , TARI, F , (2015) PROJECTIONS OF SURFACES IN R-4 TO R-3 AND THE GEOMETRY OF THEIR SINGULAR IMAGES.REVISTA MATEMATICA IBEROAMERICANA. VOL. 31. ISSUE 1. P. 33 -50 14 100% 2
10 TARI, F , (2007) ON PAIRS OF GEOMETRIC FOLIATIONS ON A CROSS-CAP.TOHOKU MATHEMATICAL JOURNAL. VOL. 59. ISSUE 2. P. 233-258 17 100% 11

Classes with closest relation at Level 1


Rank Class id link
1 5360 LOJASIEWICZ EXPONENT//MILNOR NUMBER//MOTIVIC INTEGRATION
2 23427 SLANT HELIX//GENERAL HELIX//BERTRAND CURVE
3 25454 SKEW LOOP//TANTRIX//FOUR VERTEX THEOREM
4 19662 DIFFERENTIAL GEOMETRY//DELETED PRODUCT//LINK MAP
5 34062 CURVATURE BOUNDED ABOVE//CATK SPACES//LAMBDA CONVEX SET
6 27516 HOPF MANIFOLDS//GLOBAL RESOLUTIONS//SPIN7 INSTANTON
7 29966 PEARCEY INTEGRAL//SPATIAL DIVISION TRANSMISSION//TWO RAY GROUND REFLECTION
8 19052 WILLMORE FUNCTIONAL//ELASTIC CURVES//WILLMORE SURFACES
9 35346 C INFINITY TOPOLOGY//ORBIT PRESERVING DIFFEOMORPHISM//2 JET
10 16722 SHAPE FROM SILHOUETTE//VISUAL HULL//ASPECT GRAPHS

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