Class information for:
Level 1: RICCI FLOW//RICCI SOLITON//GRADIENT ESTIMATE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7270 1388 20.1 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
7270 1                   RICCI FLOW//RICCI SOLITON//GRADIENT ESTIMATE 1388

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 RICCI FLOW authKW 2841973 13% 72% 179
2 RICCI SOLITON authKW 682635 4% 52% 60
3 GRADIENT ESTIMATE authKW 423916 5% 28% 69
4 GRADIENT RICCI SOLITON authKW 276399 1% 74% 17
5 EINSTEIN METRICS authKW 274764 3% 29% 43
6 BAKRY EMERY RICCI CURVATURE authKW 263962 1% 67% 18
7 BAKRY EMERY CURVATURE authKW 183312 1% 83% 10
8 SMOOTH METRIC MEASURE SPACE authKW 179638 1% 58% 14
9 HARNACK ESTIMATE authKW 177444 1% 73% 11
10 EINSTEIN MANIFOLD authKW 159708 2% 23% 32

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 60592 89% 0% 1233
2 Mathematics, Applied 5697 26% 0% 362
3 Physics, Mathematical 451 6% 0% 79
4 Physics, Particles & Fields 22 2% 0% 32
5 Statistics & Probability 1 1% 0% 10
6 Physics, Multidisciplinary 0 2% 0% 29
7 Astronomy & Astrophysics 0 2% 0% 23
8 Humanities, Multidisciplinary -0 0% 0% 1
9 Multidisciplinary Sciences -1 0% 0% 2
10 Computer Science, Theory & Methods -7 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 CIEM 59445 2% 11% 24
2 MATH MECH INFORMAT MIM 58658 0% 67% 4
3 INVEST ESTUDIOS MATEMAT CORDOBA CIEM 43996 0% 100% 2
4 UNIT RECH MATH 43996 0% 100% 2
5 FAMAF 28942 2% 5% 29
6 MATH 25107 50% 0% 694
7 DM UFPI 21998 0% 100% 1
8 EQUIPE ANAL COMPLEXE ANAL FONCTIONNELLE HARMO 21998 0% 100% 1
9 FDN TEACHING 21998 0% 100% 1
10 GRP NAZL ANAL MATEMAT PROBABIL LORO PLICAZ GN 21998 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 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 119637 4% 9% 58
2 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 57243 3% 5% 48
3 JOURNAL OF DIFFERENTIAL GEOMETRY 44745 4% 3% 59
4 JOURNAL OF GEOMETRIC ANALYSIS 38815 3% 4% 40
5 ASIAN JOURNAL OF MATHEMATICS 19875 1% 5% 18
6 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 17367 2% 3% 31
7 BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS 14906 1% 5% 13
8 PACIFIC JOURNAL OF MATHEMATICS 13455 4% 1% 53
9 GEOMETRIAE DEDICATA 10570 3% 1% 38
10 MATHEMATICAL RESEARCH LETTERS 10395 2% 2% 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 RICCI FLOW 2841973 13% 72% 179 Search RICCI+FLOW Search RICCI+FLOW
2 RICCI SOLITON 682635 4% 52% 60 Search RICCI+SOLITON Search RICCI+SOLITON
3 GRADIENT ESTIMATE 423916 5% 28% 69 Search GRADIENT+ESTIMATE Search GRADIENT+ESTIMATE
4 GRADIENT RICCI SOLITON 276399 1% 74% 17 Search GRADIENT+RICCI+SOLITON Search GRADIENT+RICCI+SOLITON
5 EINSTEIN METRICS 274764 3% 29% 43 Search EINSTEIN+METRICS Search EINSTEIN+METRICS
6 BAKRY EMERY RICCI CURVATURE 263962 1% 67% 18 Search BAKRY+EMERY+RICCI+CURVATURE Search BAKRY+EMERY+RICCI+CURVATURE
7 BAKRY EMERY CURVATURE 183312 1% 83% 10 Search BAKRY+EMERY+CURVATURE Search BAKRY+EMERY+CURVATURE
8 SMOOTH METRIC MEASURE SPACE 179638 1% 58% 14 Search SMOOTH+METRIC+MEASURE+SPACE Search SMOOTH+METRIC+MEASURE+SPACE
9 HARNACK ESTIMATE 177444 1% 73% 11 Search HARNACK+ESTIMATE Search HARNACK+ESTIMATE
10 EINSTEIN MANIFOLD 159708 2% 23% 32 Search EINSTEIN+MANIFOLD Search EINSTEIN+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 WANG, LF , (2016) ON RICCI-HARMONIC METRICS.ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA. VOL. 41. ISSUE 1. P. 417 -437 34 100% 0
2 LI, Y , (2016) LONG TIME EXISTENCE OF RICCI-HARMONIC FLOW.FRONTIERS OF MATHEMATICS IN CHINA. VOL. 11. ISSUE 5. P. 1313 -1334 35 95% 0
3 CAO, XD , TRAN, H , (2016) THE WEYL TENSOR OF GRADIENT RICCI SOLITONS.GEOMETRY & TOPOLOGY. VOL. 20. ISSUE 1. P. 389 -436 30 88% 2
4 FANG, SW , ZHU, P , (2015) DIFFERENTIAL HARNACK ESTIMATES FOR BACKWARD HEAT EQUATIONS WITH POTENTIALS UNDER GEOMETRIC FLOWS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 14. ISSUE 3. P. 793 -809 27 93% 1
5 WU, JY , (2012) DIFFERENTIAL HARNACK INEQUALITIES FOR NONLINEAR HEAT EQUATIONS WITH POTENTIALS UNDER THE RICCI FLOW.PACIFIC JOURNAL OF MATHEMATICS. VOL. 257. ISSUE 1. P. 199-218 28 93% 3
6 JABLONSKI, M , (2015) HOMOGENEOUS RICCI SOLITONS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 699. ISSUE . P. 159 -182 20 100% 11
7 WU, JY , (2017) ELLIPTIC GRADIENT ESTIMATES FOR A NONLINEAR HEAT EQUATION AND APPLICATIONS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 151. ISSUE . P. 1 -17 23 96% 0
8 KOTSCHWAR, B , WANG, L , (2015) RIGIDITY OF ASYMPTOTICALLY CONICAL SHRINKING GRADIENT RICCI SOLITONS.JOURNAL OF DIFFERENTIAL GEOMETRY. VOL. 100. ISSUE 1. P. 55 -108 26 81% 4
9 YANG, B , ZHENG, FY , (2013) U(N)-INVARIANT KAHLER-RICCI FLOW WITH NON-NEGATIVE CURVATURE.COMMUNICATIONS IN ANALYSIS AND GEOMETRY. VOL. 21. ISSUE 2. P. 251 -294 24 96% 2
10 BOHM, C , (2015) ON THE LONG TIME BEHAVIOR OF HOMOGENEOUS RICCI FLOWS.COMMENTARII MATHEMATICI HELVETICI. VOL. 90. ISSUE 3. P. 543 -571 23 92% 2

Classes with closest relation at Level 1


Rank Class id link
1 9891 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE
2 9153 KAHLER METRICS//KAHLER EINSTEIN METRIC//BALANCED METRICS
3 21095 NPC SPACE//CARTAN HADAMARD MANIFOLD//ADMISSIBLE CONVERGENCE
4 7899 MEAN CURVATURE FLOW//CURVATURE FLOW//SELF SHRINKER
5 7600 Q CURVATURE//CRITICAL POINTS AT INFINITY//YAMABE PROBLEM
6 26798 EUH PARK SEKIGAWA IDENTITY//PAPPUS FORMULAE//SINGER THORPE BASIS
7 5691 QUASI EINSTEIN MANIFOLD//SASAKI METRIC//ALMOST KENMOTSU MANIFOLD
8 12736 LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//TRANSPORTATION INEQUALITIES
9 19508 DIRAC OPERATOR//CHARACTERISTIC CONNECTION//PARALLEL SPINORS
10 7222 SOLVMANIFOLD//TWISTOR SPACES//MATEMAT SIMION STOILOW

Go to start page