Class information for:
Level 1: KAHLER METRICS//KAHLER EINSTEIN METRIC//BALANCED METRICS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
9153 1183 24.9 48%


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
9153 1                   KAHLER METRICS//KAHLER EINSTEIN METRIC//BALANCED METRICS 1183

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 KAHLER METRICS authKW 842970 4% 73% 45
2 KAHLER EINSTEIN METRIC authKW 734800 4% 65% 44
3 BALANCED METRICS authKW 430753 2% 76% 22
4 KAHLER RICCI SOLITON authKW 430163 2% 83% 20
5 EXTREMAL KAHLER METRICS authKW 335533 1% 100% 13
6 K STABILITY authKW 297571 1% 82% 14
7 EXTREMAL METRICS authKW 276529 1% 71% 15
8 FUTAKI INVARIANT authKW 265473 1% 86% 12
9 KAHLER RICCI FLOW authKW 232274 2% 50% 18
10 TORIC FANO MANIFOLD authKW 183537 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 54706 91% 0% 1081
2 Mathematics, Applied 1423 15% 0% 175
3 Physics, Mathematical 463 6% 0% 73
4 Physics, Particles & Fields 1 1% 0% 15
5 Asian Studies 0 0% 0% 1
6 Statistics & Probability -5 0% 0% 1
7 Physics, Nuclear -8 0% 0% 1
8 Mechanics -10 0% 0% 2
9 Physics, Multidisciplinary -12 1% 0% 6
10 Astronomy & Astrophysics -13 0% 0% 3

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 BICMR 42651 1% 18% 9
2 UFR 929 37537 0% 36% 4
3 UFR MATH 920 34412 0% 67% 2
4 MATH MARSEILLE I2M 33181 0% 43% 3
5 MATH 26294 55% 0% 654
6 ABT LV M 25810 0% 100% 1
7 ANDLISE MATEMAT GEOMETRIA SISTEMAS DINAIM 25810 0% 100% 1
8 DIPARTIMENTO MATEMAT PL ARCH 25810 0% 100% 1
9 DIPARTIMENTO MATEMAT PLICATA ARCHITETTURA 25810 0% 100% 1
10 DIPARTMENTO MATEMAT INFORMAT U DINI 25810 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 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 53904 4% 5% 43
2 JOURNAL OF DIFFERENTIAL GEOMETRY 49015 5% 3% 57
3 JOURNAL OF GEOMETRIC ANALYSIS 43304 3% 4% 39
4 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 30394 2% 4% 27
5 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 19014 4% 2% 47
6 MATHEMATISCHE ANNALEN 17810 5% 1% 57
7 JOURNAL OF SYMPLECTIC GEOMETRY 16644 1% 5% 12
8 INTERNATIONAL JOURNAL OF MATHEMATICS 12817 2% 2% 28
9 MATHEMATICAL RESEARCH LETTERS 12207 2% 2% 29
10 OSAKA JOURNAL OF MATHEMATICS 10907 2% 2% 28

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 KAHLER METRICS 842970 4% 73% 45 Search KAHLER+METRICS Search KAHLER+METRICS
2 KAHLER EINSTEIN METRIC 734800 4% 65% 44 Search KAHLER+EINSTEIN+METRIC Search KAHLER+EINSTEIN+METRIC
3 BALANCED METRICS 430753 2% 76% 22 Search BALANCED+METRICS Search BALANCED+METRICS
4 KAHLER RICCI SOLITON 430163 2% 83% 20 Search KAHLER+RICCI+SOLITON Search KAHLER+RICCI+SOLITON
5 EXTREMAL KAHLER METRICS 335533 1% 100% 13 Search EXTREMAL+KAHLER+METRICS Search EXTREMAL+KAHLER+METRICS
6 K STABILITY 297571 1% 82% 14 Search K+STABILITY Search K+STABILITY
7 EXTREMAL METRICS 276529 1% 71% 15 Search EXTREMAL+METRICS Search EXTREMAL+METRICS
8 FUTAKI INVARIANT 265473 1% 86% 12 Search FUTAKI+INVARIANT Search FUTAKI+INVARIANT
9 KAHLER RICCI FLOW 232274 2% 50% 18 Search KAHLER+RICCI+FLOW Search KAHLER+RICCI+FLOW
10 TORIC FANO MANIFOLD 183537 1% 89% 8 Search TORIC+FANO+MANIFOLD Search TORIC+FANO+MANIFOLD

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 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
2 SONG, J , WANG, XW , (2016) THE GREATEST RICCI LOWER BOUND, CONICAL EINSTEIN METRICS AND CHERN NUMBER INEQUALITY.GEOMETRY & TOPOLOGY. VOL. 20. ISSUE 1. P. 49 -102 29 85% 3
3 APOSTOLOV, V , CALDERBANK, DMJ , GAUDUCHON, P , (2015) AMBITORIC GEOMETRY II: EXTREMAL TORIC SURFACES AND EINSTEIN 4-ORBIFOLDS.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 48. ISSUE 5. P. 1075 -1112 34 87% 0
4 APOSTOLOV, V , CALDERBANK, DJ , GAUDUCHON, P , TONNESEN-FRIEDMAN, CW , (2008) HAMILTONIAN 2-FORMS IN KAHLER GEOMETRY, III EXTREMAL METRICS AND STABILITY.INVENTIONES MATHEMATICAE. VOL. 173. ISSUE 3. P. 547-601 35 90% 23
5 KELLER, J , (2016) ABOUT CANONICAL KAHLER METRICS ON MUMFORD SEMISTABLE PROJECTIVE BUNDLES OVER A CURVE.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 93. ISSUE . P. 159 -174 29 91% 0
6 APOSTOLOV, V , HUANG, HN , (2015) A SPLITTING THEOREM FOR EXTREMAL KAHLER METRICS.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 25. ISSUE 1. P. 149 -170 27 93% 1
7 DERVAN, R , (2016) UNIFORM STABILITY OF TWISTED CONSTANT SCALAR CURVATURE KAHLER METRICS.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 15. P. 4728 -4783 26 96% 0
8 LOI, A , ZEDDA, M , (2015) ON THE COEFFICIENTS OF TYZ EXPANSION OF LOCALLY HERMITIAN SYMMETRIC SPACES.MANUSCRIPTA MATHEMATICA. VOL. 148. ISSUE 3-4. P. 303 -315 29 88% 0
9 BIQUARD, O , (2006) KAHLERIAN METRICS AT A CONSTANT SCALAR CURVATURE: UNIQUENESS, STABILITY.ASTERISQUE. VOL. . ISSUE 307. P. 1 -31 35 90% 2
10 BERMAN, RJ , (2016) K-POLYSTABILITY OF Q-FANO VARIETIES ADMITTING KAHLER-EINSTEIN METRICS.INVENTIONES MATHEMATICAE. VOL. 203. ISSUE 3. P. 973 -1025 26 72% 4

Classes with closest relation at Level 1


Rank Class id link
1 7270 RICCI FLOW//RICCI SOLITON//GRADIENT ESTIMATE
2 7222 SOLVMANIFOLD//TWISTOR SPACES//MATEMAT SIMION STOILOW
3 24654 KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS//RANDOM POLYNOMIALS
4 14786 PLURISUBHARMONIC FUNCTION//COMPLEX MONGE AMPERE OPERATOR//PLURICOMPLEX GREEN FUNCTION
5 9891 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE
6 17113 MONGE AMPERE EQUATION//HESSIAN EQUATION//BERNSTEIN PROPERTY
7 12048 SYMPLECTIC REDUCTION//SYMPLECTIC QUOTIENT//MOMENTUM MAP
8 1202 FANO VARIETIES//ADJUNCTION THEORY//FANO MANIFOLDS
9 35117 NORMAL J ALGEBRA//HOMOGENEOUS SIEGEL DOMAIN//MINIMAL DOMAIN
10 21755 SEGAL BARGMANN TRANSFORM//ADAPTED COMPLEX STRUCTURES//TAYLOR MAP

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