Class information for:
Level 2: MATHEMATICS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
291 18882 18.5 40%



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
1791 1                   CONSTANT MEAN CURVATURE//SPACELIKE HYPERSURFACE//GEOMETRIA TOPOL 2483
5691 1                   QUASI EINSTEIN MANIFOLD//SASAKI METRIC//ALMOST KENMOTSU MANIFOLD 1588
7222 1                   SOLVMANIFOLD//TWISTOR SPACES//MATEMAT SIMION STOILOW 1391
7270 1                   RICCI FLOW//RICCI SOLITON//GRADIENT ESTIMATE 1388
7899 1                   MEAN CURVATURE FLOW//CURVATURE FLOW//SELF SHRINKER 1316
9153 1                   KAHLER METRICS//KAHLER EINSTEIN METRIC//BALANCED METRICS 1183
9891 1                   NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE 1110
11476 1                   SLANT SUBMANIFOLD//LAGRANGIAN SUBMANIFOLD//SEMI SLANT SUBMANIFOLD 979
13463 1                   KAHLER ANGLE//HARMONIC MAPS//COMPLEX GRASSMANN MANIFOLD 835
14956 1                   POLAR ACTIONS//MOBIUS METRIC//ISOPARAMETRIC HYPERSURFACE 739
16015 1                   HARMONIC MORPHISMS//RIEMANNIAN FOLIATION//RIEMANNIAN SUBMERSION 677
17113 1                   MONGE AMPERE EQUATION//HESSIAN EQUATION//BERNSTEIN PROPERTY 617
17478 1                   BIHARMONIC MAPS//BIHARMONIC SUBMANIFOLDS//POINTWISE 1 TYPE GAUSS MAP 597
19052 1                   WILLMORE FUNCTIONAL//ELASTIC CURVES//WILLMORE SURFACES 524
19508 1                   DIRAC OPERATOR//CHARACTERISTIC CONNECTION//PARALLEL SPINORS 502
20186 1                   LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE 472
21095 1                   NPC SPACE//CARTAN HADAMARD MANIFOLD//ADMISSIBLE CONVERGENCE 433
21171 1                   REAL HYPERSURFACES//HOPF HYPERSURFACE//COMPLEX TWO PLANE GRASSMANNIANS 430
23427 1                   SLANT HELIX//GENERAL HELIX//BERTRAND CURVE 346
24886 1                   AFFINE DIFFERENTIAL GEOMETRY//AFFINE HYPERSPHERES//AFFINE SPHERE 298
25454 1                   SKEW LOOP//TANTRIX//FOUR VERTEX THEOREM 281
26798 1                   EUH PARK SEKIGAWA IDENTITY//PAPPUS FORMULAE//SINGER THORPE BASIS 245
28754 1                   MEISSNERS BODY//MINIMAL ISOMETRIC IMMERSIONS//SPHERICAL MINIMAL IMMERSION 200
32919 1                   QUASI SASAKIAN STRUCTURE//COSYMPLECTIC STRUCTURE//HOMOGENEOUS K SYMMETRIC SPACE 132
34062 1                   CURVATURE BOUNDED ABOVE//CATK SPACES//LAMBDA CONVEX SET 116

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 MATHEMATICS WoSSC 774300 86% 3% 16267
2 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY journal 436471 3% 55% 489
3 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS journal 386250 3% 44% 539
4 GEOMETRIA TOPOL address 321228 2% 45% 440
5 JOURNAL OF DIFFERENTIAL GEOMETRY journal 274159 3% 32% 539
6 RICCI FLOW authKW 260438 1% 81% 200
7 MEAN CURVATURE authKW 244244 1% 58% 263
8 REAL HYPERSURFACES authKW 214674 1% 92% 144
9 MATH address 207422 39% 2% 7412
10 CONSTANT MEAN CURVATURE authKW 196031 1% 83% 147

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 774300 86% 3% 16267
2 Mathematics, Applied 71535 25% 1% 4742
3 Physics, Mathematical 8775 7% 1% 1257
4 Multidisciplinary Sciences 19 0% 0% 84
5 Physics, Particles & Fields 18 1% 0% 253
6 Statistics & Probability 11 1% 0% 143
7 Physics, Multidisciplinary -1 2% 0% 348
8 Computer Science, Cybernetics -2 0% 0% 11
9 Engineering, Marine -3 0% 0% 2
10 Asian Studies -7 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 GEOMETRIA TOPOL 321228 2% 45% 440
2 MATH 207422 39% 2% 7412
3 GEOMETRY TOPOL 109849 1% 65% 105
4 MATEMAT 54355 5% 3% 1006
5 WISKUNDE 45466 0% 30% 94
6 DIFFERENTIALGEOMETRIE 37260 0% 77% 30
7 ISTV2 32073 0% 83% 24
8 MATEMAT IE 28485 0% 84% 21
9 DIPARTIMENTO MATEMAT E DE GIORGI 26904 0% 35% 48
10 LAMATH 24915 0% 86% 18

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 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 436471 3% 55% 489
2 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 386250 3% 44% 539
3 JOURNAL OF DIFFERENTIAL GEOMETRY 274159 3% 32% 539
4 JOURNAL OF GEOMETRY AND PHYSICS 156918 3% 20% 499
5 GEOMETRIAE DEDICATA 149464 3% 18% 527
6 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 144044 1% 38% 235
7 TOHOKU MATHEMATICAL JOURNAL 93975 1% 22% 268
8 JOURNAL OF GEOMETRIC ANALYSIS 87625 1% 25% 222
9 MATHEMATISCHE ZEITSCHRIFT 66888 2% 9% 459
10 RESULTS IN MATHEMATICS 61633 1% 23% 164

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 RICCI FLOW 260438 1% 81% 200 Search RICCI+FLOW Search RICCI+FLOW
2 MEAN CURVATURE 244244 1% 58% 263 Search MEAN+CURVATURE Search MEAN+CURVATURE
3 REAL HYPERSURFACES 214674 1% 92% 144 Search REAL+HYPERSURFACES Search REAL+HYPERSURFACES
4 CONSTANT MEAN CURVATURE 196031 1% 83% 147 Search CONSTANT+MEAN+CURVATURE Search CONSTANT+MEAN+CURVATURE
5 MINIMAL SURFACES 175478 1% 47% 233 Search MINIMAL+SURFACES Search MINIMAL+SURFACES
6 MEAN CURVATURE FLOW 170804 1% 73% 144 Search MEAN+CURVATURE+FLOW Search MEAN+CURVATURE+FLOW
7 RICCI SOLITON 168470 1% 95% 110 Search RICCI+SOLITON Search RICCI+SOLITON
8 SCALAR CURVATURE 152318 1% 56% 168 Search SCALAR+CURVATURE Search SCALAR+CURVATURE
9 RICCI CURVATURE 145738 1% 56% 161 Search RICCI+CURVATURE Search RICCI+CURVATURE
10 HARMONIC MAPS 143221 1% 44% 203 Search HARMONIC+MAPS Search HARMONIC+MAPS

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 MEEKS, WH , PEREZ, J , (2011) THE CLASSICAL THEORY OF MINIMAL SURFACES.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 48. ISSUE 3. P. 325-407 98 97% 15
2 CECIL, TE , (2008) ISOPARAMETRIC AND DUPIN HYPERSURFACES.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 4. ISSUE . P. - 80 93% 13
3 (2009) BASICS OF SPIN GEOMETRY.DIRAC SPECTRUM. VOL. 1976. ISSUE . P. 1 -+ 83 84% 0
4 SONG, J , WEINKOVE, B , (2013) AN INTRODUCTION TO THE KAHLER-RICCI FLOW.INTRODUCTION TO THE KAHLER-RICCI FLOW. VOL. 2086. ISSUE . P. 89-188 63 91% 5
5 CAO, HD , (2013) THE KAHLER-RICCI FLOW ON FANO MANIFOLDS.INTRODUCTION TO THE KAHLER-RICCI FLOW. VOL. 2086. ISSUE . P. 239 -297 53 100% 1
6 TOSATTI, V , WEINKOVE, B , (2015) ON THE EVOLUTION OF A HERMITIAN METRIC BY ITS CHERN-RICCI FORM.JOURNAL OF DIFFERENTIAL GEOMETRY. VOL. 99. ISSUE 1. P. 125 -163 42 91% 8
7 BRENDLE, S , SCHOEN, R , (2011) CURVATURE, SPHERE THEOREMS, AND THE RICCI FLOW.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 48. ISSUE 1. P. 1 -32 52 91% 3
8 LI, HZ , ZHENG, K , (2014) KAHLER NON-COLLAPSING, EIGENVALUES AND THE CALABI FLOW.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 267. ISSUE 5. P. 1593 -1636 42 98% 0
9 ANGELLA, D , UGARTE, L , (2016) LOCALLY CONFORMAL HERMITIAN METRICS ON COMPLEX NON-KAHLER MANIFOLDS.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 13. ISSUE 4. P. 2105 -2145 40 95% 0
10 APOSTOLOV, V , CALDERBANK, DMJ , GAUDUCHON, P , TONNESEN-FRIEDMAN, CW , (2011) EXTREMAL KAHLER METRICS ON PROJECTIVE BUNDLES OVER A CURVE.ADVANCES IN MATHEMATICS. VOL. 227. ISSUE 6. P. 2385 -2424 44 92% 9

Classes with closest relation at Level 2



Rank Class id link
1 3900 FINSLER METRIC//ALPHA BETA METRIC//FLAG CURVATURE
2 3487 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
3 2349 P HARMONIC MAPS//HARMONIC MAPS//GINZBURG LANDAU FUNCTIONAL
4 2483 SOLITONS MONOPOLES AND INSTANTONS//G2 STRUCTURE//WILLIAM I FINE THEORET PHYS
5 2047 NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE
6 2083 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//ANALYTIC TORSION
7 176 MATHEMATICS//VARIATIONAL METHODS//MATHEMATICS, APPLIED
8 1570 PLURISUBHARMONIC FUNCTION//MATHEMATICS//CR MANIFOLD
9 3515 INFINITE GRAPHS//GROMOV HYPERBOLICITY//INFINITE MATROID
10 885 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//MATHEMATICS//ALGEBRAIC AND GEOMETRIC TOPOLOGY

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