Class information for:
Level 1: POLAR ACTIONS//MOBIUS METRIC//ISOPARAMETRIC HYPERSURFACE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14956 739 18.5 37%


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
14956 1                   POLAR ACTIONS//MOBIUS METRIC//ISOPARAMETRIC HYPERSURFACE 739

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 POLAR ACTIONS authKW 677993 3% 86% 19
2 MOBIUS METRIC authKW 628472 2% 89% 17
3 ISOPARAMETRIC HYPERSURFACE authKW 578431 4% 50% 28
4 MOBIUS FORM authKW 457680 2% 92% 12
5 ISOPARAMETRIC SUBMANIFOLDS authKW 436421 2% 81% 13
6 SINGULAR RIEMANNIAN FOLIATIONS authKW 416626 1% 92% 11
7 MOBIUS SECOND FUNDAMENTAL FORM authKW 413185 1% 100% 10
8 BLASCHKE TENSOR authKW 371866 1% 100% 9
9 LAGUERRE SECOND FUNDAMENTAL FORM authKW 371866 1% 100% 9
10 DUPIN HYPERSURFACES authKW 293818 1% 89% 8

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 37741 96% 0% 709
2 Mathematics, Applied 1750 20% 0% 149
3 Physics, Mathematical 28 2% 0% 18
4 Robotics 0 0% 0% 1
5 Multidisciplinary Sciences -0 0% 0% 2
6 Materials Science, Composites -0 0% 0% 1
7 Acoustics -1 0% 0% 1
8 Engineering, General -1 0% 0% 2
9 Materials Science, Ceramics -1 0% 0% 1
10 Computer Science, Theory & Methods -2 0% 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 ARBEITSGRP GEOMET 41318 0% 100% 1
2 ECEN CS EXACTAS INGN AGRIMENSURA 41318 0% 100% 1
3 EXCELLENCE MATH STATS COMPLEX SYST 41318 0% 100% 1
4 LEHRSTUHL LSVII 41318 0% 100% 1
5 MATEMAT FCFMN 41318 0% 100% 1
6 VAKGRP DISCRETE WISKUNDE 41318 0% 100% 1
7 VAKGRP DISCRETE WISKUNDE COMP ALGEBRA 41318 0% 100% 1
8 CIENCIAS FIS MAT NAT 41316 0% 50% 2
9 MATH COMPLEX SYST 25162 3% 3% 21
10 MATEMAT ESTAT 22072 3% 2% 24

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 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 41659 5% 3% 35
2 GEOMETRIAE DEDICATA 37339 7% 2% 52
3 TOHOKU MATHEMATICAL JOURNAL 32248 4% 3% 31
4 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 24681 3% 3% 23
5 JOURNAL OF DIFFERENTIAL GEOMETRY 16312 4% 2% 26
6 OSAKA JOURNAL OF MATHEMATICS 10790 3% 1% 22
7 HOKKAIDO MATHEMATICAL JOURNAL 9003 1% 4% 6
8 MATHEMATISCHE ANNALEN 7888 4% 1% 30
9 ACTA MATHEMATICA SINICA-ENGLISH SERIES 6905 3% 1% 21
10 MATHEMATISCHE ZEITSCHRIFT 6858 4% 1% 29

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 POLAR ACTIONS 677993 3% 86% 19 Search POLAR+ACTIONS Search POLAR+ACTIONS
2 MOBIUS METRIC 628472 2% 89% 17 Search MOBIUS+METRIC Search MOBIUS+METRIC
3 ISOPARAMETRIC HYPERSURFACE 578431 4% 50% 28 Search ISOPARAMETRIC+HYPERSURFACE Search ISOPARAMETRIC+HYPERSURFACE
4 MOBIUS FORM 457680 2% 92% 12 Search MOBIUS+FORM Search MOBIUS+FORM
5 ISOPARAMETRIC SUBMANIFOLDS 436421 2% 81% 13 Search ISOPARAMETRIC+SUBMANIFOLDS Search ISOPARAMETRIC+SUBMANIFOLDS
6 SINGULAR RIEMANNIAN FOLIATIONS 416626 1% 92% 11 Search SINGULAR+RIEMANNIAN+FOLIATIONS Search SINGULAR+RIEMANNIAN+FOLIATIONS
7 MOBIUS SECOND FUNDAMENTAL FORM 413185 1% 100% 10 Search MOBIUS+SECOND+FUNDAMENTAL+FORM Search MOBIUS+SECOND+FUNDAMENTAL+FORM
8 BLASCHKE TENSOR 371866 1% 100% 9 Search BLASCHKE+TENSOR Search BLASCHKE+TENSOR
9 LAGUERRE SECOND FUNDAMENTAL FORM 371866 1% 100% 9 Search LAGUERRE+SECOND+FUNDAMENTAL+FORM Search LAGUERRE+SECOND+FUNDAMENTAL+FORM
10 DUPIN HYPERSURFACES 293818 1% 89% 8 Search DUPIN+HYPERSURFACES Search DUPIN+HYPERSURFACES

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 CECIL, TE , (2008) ISOPARAMETRIC AND DUPIN HYPERSURFACES.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 4. ISSUE . P. - 75 87% 13
2 THORBERGSSON, G , (2010) SINGULAR RIEMANNIAN FOLIATIONS AND ISOPARAMETRIC SUBMANIFOLDS.MILAN JOURNAL OF MATHEMATICS. VOL. 78. ISSUE 1. P. 355-370 36 97% 11
3 DOMINGUEZ-VAZQUEZ, M , (2016) ISOPARAMETRIC FOLIATIONS ON COMPLEX PROJECTIVE SPACES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 368. ISSUE 2. P. 1211 -1249 26 96% 1
4 ALEXANDRINO, MM , BRIQUET, R , TOBEN, D , (2013) PROGRESS IN THE THEORY OF SINGULAR RIEMANNIAN FOLIATIONS.DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. VOL. 31. ISSUE 2. P. 248-267 27 84% 6
5 GORODSKI, C , KOLLROSS, A , (2016) SOME REMARKS ON POLAR ACTIONS.ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. VOL. 49. ISSUE 1. P. 43 -58 20 100% 1
6 FERRO, ML , RODRIGUES, LA , TENENBLAT, K , (2016) ON DUPIN HYPERSURFACES IN R-5 PARAMETRIZED BY LINES OF CURVATURE.RESULTS IN MATHEMATICS. VOL. 70. ISSUE 3-4. P. 499 -531 20 100% 0
7 HU, ZJ , ZHAI, SJ , (2011) MOBIUS ISOPARAMETRIC HYPERSURFACES WITH THREE DISTINCT PRINCIPAL CURVATURES, II.PACIFIC JOURNAL OF MATHEMATICS. VOL. 249. ISSUE 2. P. 343-370 22 100% 3
8 RIVEROS, CMC , RODRIGUES, LA , TENENBLAT, K , (2008) ON DUPIN HYPERSURFACES WITH CONSTANT MUBIUS CURVATURE.PACIFIC JOURNAL OF MATHEMATICS. VOL. 236. ISSUE 1. P. 86-100 23 100% 0
9 LYTCHAK, A , (2014) POLAR FOLIATIONS OF SYMMETRIC SPACES.GEOMETRIC AND FUNCTIONAL ANALYSIS. VOL. 24. ISSUE 4. P. 1298 -1315 21 88% 4
10 FERRO, ML , RODRIGUES, LA , TENENBLAT, K , (2014) ON A CLASS OF DUPIN HYPERSURFACES IN WITH NONCONSTANT LIE CURVATURE.GEOMETRIAE DEDICATA. VOL. 169. ISSUE 1. P. 301 -321 18 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 21171 REAL HYPERSURFACES//HOPF HYPERSURFACE//COMPLEX TWO PLANE GRASSMANNIANS
2 13463 KAHLER ANGLE//HARMONIC MAPS//COMPLEX GRASSMANN MANIFOLD
3 11476 SLANT SUBMANIFOLD//LAGRANGIAN SUBMANIFOLD//SEMI SLANT SUBMANIFOLD
4 32919 QUASI SASAKIAN STRUCTURE//COSYMPLECTIC STRUCTURE//HOMOGENEOUS K SYMMETRIC SPACE
5 28754 MEISSNERS BODY//MINIMAL ISOMETRIC IMMERSIONS//SPHERICAL MINIMAL IMMERSION
6 17478 BIHARMONIC MAPS//BIHARMONIC SUBMANIFOLDS//POINTWISE 1 TYPE GAUSS MAP
7 9891 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE
8 22764 LAGUERRE PLANE//CHAIN SPACES//ABT TOPOL
9 24886 AFFINE DIFFERENTIAL GEOMETRY//AFFINE HYPERSPHERES//AFFINE SPHERE
10 19052 WILLMORE FUNCTIONAL//ELASTIC CURVES//WILLMORE SURFACES

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