Class information for:
Level 1: NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
9891 1110 18.7 34%


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
9891 1                   NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE 1110

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 NONNEGATIVE CURVATURE authKW 527699 2% 71% 27
2 POSITIVE CURVATURE authKW 386430 2% 59% 24
3 POSITIVE SECTIONAL CURVATURE authKW 330093 1% 100% 12
4 BIQUOTIENTS authKW 275078 1% 100% 10
5 RADIAL CURVATURE authKW 237741 1% 79% 11
6 MATEMAT IE address 215648 1% 56% 14
7 NONNEGATIVE SECTIONAL CURVATURE authKW 176046 1% 80% 8
8 HOPF CONJECTURE authKW 165047 1% 100% 6
9 SPHERE THEOREM authKW 158432 1% 48% 12
10 POSITIVE RICCI CURVATURE authKW 139250 1% 56% 9

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 57347 96% 0% 1071
2 Mathematics, Applied 1778 17% 0% 187
3 Physics, Mathematical 14 2% 0% 19
4 Multidisciplinary Sciences 0 0% 0% 4
5 Physics, Particles & Fields -0 1% 0% 10
6 Mathematical & Computational Biology -2 0% 0% 1
7 Mathematics, Interdisciplinary Applications -2 0% 0% 2
8 Physics, Multidisciplinary -3 1% 0% 14
9 Computer Science, Software Engineering -4 0% 0% 1
10 Engineering, General -4 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 MATEMAT IE 215648 1% 56% 14
2 PL MATH HUBEI PROV 30942 0% 38% 3
3 ANALYSE COMPLEXE GEOMETRIE 27508 0% 100% 1
4 BASICS COURSE 27508 0% 100% 1
5 FOURIER MATHS PU 27508 0% 100% 1
6 LIB NORTH 2200 27508 0% 100% 1
7 MATH DEPART 27508 0% 100% 1
8 MATH MODELISAT MONTEPELLIER 27508 0% 100% 1
9 SCI LIBERAL ARTS MATH 27508 0% 100% 1
10 CNRS UMR 5030 13753 0% 50% 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 DIFFERENTIAL GEOMETRY 76590 6% 4% 69
2 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 47897 4% 4% 46
3 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 29844 3% 4% 31
4 GEOMETRIC AND FUNCTIONAL ANALYSIS 15086 2% 2% 24
5 GEOMETRIAE DEDICATA 13944 4% 1% 39
6 JOURNAL OF GEOMETRIC ANALYSIS 12119 2% 2% 20
7 MATHEMATISCHE ZEITSCHRIFT 10511 4% 1% 44
8 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 8914 7% 0% 74
9 INVENTIONES MATHEMATICAE 7868 3% 1% 30
10 COMMENTARII MATHEMATICI HELVETICI 7788 2% 1% 19

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 NONNEGATIVE CURVATURE 527699 2% 71% 27 Search NONNEGATIVE+CURVATURE Search NONNEGATIVE+CURVATURE
2 POSITIVE CURVATURE 386430 2% 59% 24 Search POSITIVE+CURVATURE Search POSITIVE+CURVATURE
3 POSITIVE SECTIONAL CURVATURE 330093 1% 100% 12 Search POSITIVE+SECTIONAL+CURVATURE Search POSITIVE+SECTIONAL+CURVATURE
4 BIQUOTIENTS 275078 1% 100% 10 Search BIQUOTIENTS Search BIQUOTIENTS
5 RADIAL CURVATURE 237741 1% 79% 11 Search RADIAL+CURVATURE Search RADIAL+CURVATURE
6 NONNEGATIVE SECTIONAL CURVATURE 176046 1% 80% 8 Search NONNEGATIVE+SECTIONAL+CURVATURE Search NONNEGATIVE+SECTIONAL+CURVATURE
7 HOPF CONJECTURE 165047 1% 100% 6 Search HOPF+CONJECTURE Search HOPF+CONJECTURE
8 SPHERE THEOREM 158432 1% 48% 12 Search SPHERE+THEOREM Search SPHERE+THEOREM
9 POSITIVE RICCI CURVATURE 139250 1% 56% 9 Search POSITIVE+RICCI+CURVATURE Search POSITIVE+RICCI+CURVATURE
10 ESCHENBURG SPACES 137539 0% 100% 5 Search ESCHENBURG+SPACES Search ESCHENBURG+SPACES

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 ZILLER, W , (2014) RIEMANNIAN MANIFOLDS WITH POSITIVE SECTIONAL CURVATURE.GEOMETRY OF MANIFOLDS WITH NON-NEGATIVE SECTIONAL CURVATURE. VOL. 2110. ISSUE . P. 1 -19 25 96% 5
2 GALAZ-GARCIA, F , (2014) A NOTE ON MAXIMAL SYMMETRY RANK, QUASIPOSITIVE CURVATURE, AND LOW DIMENSIONAL MANIFOLDS.GEOMETRY OF MANIFOLDS WITH NON-NEGATIVE SECTIONAL CURVATURE. VOL. 2110. ISSUE . P. 45 -55 25 93% 0
3 GROVE, K , WILKING, B , ZILLER, W , (2008) POSITIVELY CURVED COHOMOGENEITY ONE MANIFOLDS AND 3-SASAKIAN GEOMETRY.JOURNAL OF DIFFERENTIAL GEOMETRY. VOL. 78. ISSUE 1. P. 33-111 29 78% 32
4 SEARLE, C , (2014) AN INTRODUCTION TO ISOMETRIC GROUP ACTIONS WITH APPLICATIONS TO SPACES WITH CURVATURE BOUNDED FROM BELOW.GEOMETRY OF MANIFOLDS WITH NON-NEGATIVE SECTIONAL CURVATURE. VOL. 2110. ISSUE . P. 21 -43 20 95% 0
5 GROVE, K , VERDIANI, L , ZILLER, W , (2011) AN EXOTIC T1S4 WITH POSITIVE CURVATURE.GEOMETRIC AND FUNCTIONAL ANALYSIS. VOL. 21. ISSUE 3. P. 499-524 20 95% 17
6 SANTOS, NL , (2007) MANIFOLDS WITH ASYMPTOTICALLY NONNEGATIVE MINIMAL RADIAL CURVATURE.ADVANCES IN GEOMETRY. VOL. 7. ISSUE 3. P. 331-355 22 100% 0
7 ESCHER, C , ZILLER, W , (2014) TOPOLOGY OF NON-NEGATIVELY CURVED MANIFOLDS.ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. VOL. 46. ISSUE 1. P. 23-55 20 91% 1
8 WU, CX , XIE, ZQ , LI, GG , (2011) DIFFEOMORPHIC THEOREMS FOR OPEN RIEMANNIAN MANIFOLDS WITH CURVATURE DECAY.PUBLICATIONES MATHEMATICAE-DEBRECEN. VOL. 79. ISSUE 1-2. P. 133 -144 18 100% 0
9 LI, XP , (2015) NONNEGATIVELY CURVED ALEXANDROV SPACES WITH SOULS OF CODIMENSION TWO.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 367. ISSUE 6. P. 3901 -3928 16 100% 0
10 KONDO, K , TANAKA, M , (2010) TOTAL CURVATURES OF MODEL SURFACES CONTROL TOPOLOGY OF COMPLETE OPEN MANIFOLDS WITH RADIAL CURVATURE BOUNDED BELOW. II.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 362. ISSUE 12. P. 6293 -6324 20 87% 3

Classes with closest relation at Level 1


Rank Class id link
1 7270 RICCI FLOW//RICCI SOLITON//GRADIENT ESTIMATE
2 34062 CURVATURE BOUNDED ABOVE//CATK SPACES//LAMBDA CONVEX SET
3 26798 EUH PARK SEKIGAWA IDENTITY//PAPPUS FORMULAE//SINGER THORPE BASIS
4 20979 SYSTOLIC INEQUALITY//HERMITE CONSTANT//SYSTOLE
5 21095 NPC SPACE//CARTAN HADAMARD MANIFOLD//ADMISSIBLE CONVERGENCE
6 9153 KAHLER METRICS//KAHLER EINSTEIN METRIC//BALANCED METRICS
7 14956 POLAR ACTIONS//MOBIUS METRIC//ISOPARAMETRIC HYPERSURFACE
8 20186 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE
9 20975 FARTHEST POINT//CHEBYSHEV SET//REMOTAL SET
10 8449 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM

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