Class information for:
Level 1: RICCI FLOW//RICCI SOLITON//KAHLER RICCI FLOW

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
529 3       MATHEMATICS//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 20605
368 2             MATHEMATICS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 17787
3107 1                   RICCI FLOW//RICCI SOLITON//KAHLER RICCI FLOW 2093

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RICCI FLOW authKW 1939217 9% 70% 183
2 RICCI SOLITON authKW 512325 3% 52% 66
3 KAHLER RICCI FLOW authKW 420411 2% 85% 33
4 KAHLER RICCI SOLITON authKW 361354 1% 100% 24
5 GRADIENT ESTIMATE authKW 344263 4% 29% 78
6 KAHLER EINSTEIN METRIC authKW 274797 2% 51% 36
7 K STABILITY authKW 217560 1% 85% 17
8 BAKRY EMERY RICCI CURVATURE authKW 207662 1% 69% 20
9 EXTREMAL KAHLER METRICS authKW 195733 1% 100% 13
10 FUTAKI INVARIANT authKW 181751 1% 93% 13

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 100803 93% 0% 1956
2 Mathematics, Applied 5468 21% 0% 442
3 Physics, Mathematical 289 4% 0% 83
4 Physics, Particles & Fields 6 2% 0% 33
5 Statistics & Probability 0 1% 0% 14
6 Astronomy & Astrophysics -3 1% 0% 24
7 Education, Scientific Disciplines -3 0% 0% 1
8 Mathematical & Computational Biology -5 0% 0% 1
9 Physics, Multidisciplinary -6 1% 0% 25
10 Automation & Control Systems -7 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH 46904 56% 0% 1170
2 MATH MECH INFORMAT MIM 41819 0% 56% 5
3 BICMR 34357 1% 21% 11
4 ICET CUA 30113 0% 100% 2
5 UNIT RECH MATH 30113 0% 100% 2
6 UFR 929 21895 0% 36% 4
7 SHANGHAI MATH SCI 20608 0% 14% 10
8 UFR MATH 920 20074 0% 67% 2
9 MATH MARSEILLE I2M 19355 0% 43% 3
10 ABT LV M 15056 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 140668 4% 12% 77
2 JOURNAL OF DIFFERENTIAL GEOMETRY 86994 5% 6% 100
3 JOURNAL OF GEOMETRIC ANALYSIS 66993 3% 7% 67
4 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 59386 3% 7% 60
5 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 22189 3% 2% 68
6 MATHEMATISCHE ANNALEN 21537 4% 2% 83
7 ASIAN JOURNAL OF MATHEMATICS 20275 1% 6% 23
8 MATHEMATICAL RESEARCH LETTERS 18315 2% 3% 47
9 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 13803 2% 3% 34
10 PACIFIC JOURNAL OF MATHEMATICS 13603 3% 1% 65

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 RICCI FLOW 1939217 9% 70% 183 Search RICCI+FLOW Search RICCI+FLOW
2 RICCI SOLITON 512325 3% 52% 66 Search RICCI+SOLITON Search RICCI+SOLITON
3 KAHLER RICCI FLOW 420411 2% 85% 33 Search KAHLER+RICCI+FLOW Search KAHLER+RICCI+FLOW
4 KAHLER RICCI SOLITON 361354 1% 100% 24 Search KAHLER+RICCI+SOLITON Search KAHLER+RICCI+SOLITON
5 GRADIENT ESTIMATE 344263 4% 29% 78 Search GRADIENT+ESTIMATE Search GRADIENT+ESTIMATE
6 KAHLER EINSTEIN METRIC 274797 2% 51% 36 Search KAHLER+EINSTEIN+METRIC Search KAHLER+EINSTEIN+METRIC
7 K STABILITY 217560 1% 85% 17 Search K+STABILITY Search K+STABILITY
8 BAKRY EMERY RICCI CURVATURE 207662 1% 69% 20 Search BAKRY+EMERY+RICCI+CURVATURE Search BAKRY+EMERY+RICCI+CURVATURE
9 EXTREMAL KAHLER METRICS 195733 1% 100% 13 Search EXTREMAL+KAHLER+METRICS Search EXTREMAL+KAHLER+METRICS
10 FUTAKI INVARIANT 181751 1% 93% 13 Search FUTAKI+INVARIANT Search FUTAKI+INVARIANT

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 9833 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE
2 25100 EINSTEIN NILRADICAL//EINSTEIN METRICS//SOLITON METRIC
3 22295 RANDOM POLYNOMIALS//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS
4 6508 SOLVMANIFOLD//VAISMAN MANIFOLD//TWISTOR SPACES
5 14641 PLURISUBHARMONIC FUNCTION//COMPLEX MONGE AMPERE OPERATOR//PLURICOMPLEX GREEN FUNCTION
6 6370 Q CURVATURE//CRITICAL POINTS AT INFINITY//YAMABE PROBLEM
7 6127 MEAN CURVATURE FLOW//SELF SHRINKER//CURVATURE FLOW
8 7928 SPACELIKE HYPERSURFACE//MEAN CURVATURE//GENERALIZED ROBERTSON WALKER SPACETIME
9 13873 GROMOV HYPERBOLICITY//STOCHASTIC COMPLETENESS//INFINITE GRAPHS
10 35842 MULTITIME MAXIMUM PRINCIPLE//MATH INFORMAT 1//MULTITIME DYNAMIC PROGRAMMING

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