Class information for:
Level 1: HARMONIC MORPHISMS//RIEMANNIAN FOLIATION//RIEMANNIAN SUBMERSION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16015 677 17.0 28%


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
16015 1                   HARMONIC MORPHISMS//RIEMANNIAN FOLIATION//RIEMANNIAN SUBMERSION 677

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 HARMONIC MORPHISMS authKW 1162704 6% 66% 39
2 RIEMANNIAN FOLIATION authKW 1001940 6% 58% 38
3 RIEMANNIAN SUBMERSION authKW 453303 4% 36% 28
4 P HARMONIC MORPHISMS authKW 276252 1% 88% 7
5 SLANT SUBMERSION authKW 270616 1% 100% 6
6 RIEMANNIAN MAP authKW 262411 1% 73% 8
7 BASIC COHOMOLOGY authKW 240542 1% 67% 8
8 ANTI INVARIANT RIEMANNIAN SUBMERSION authKW 225513 1% 100% 5
9 ANTI INVARIANT SUBMERSION authKW 225513 1% 100% 5
10 TRANSVERSALLY EINSTEINIAN authKW 225513 1% 100% 5

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 30729 91% 0% 613
2 Mathematics, Applied 1257 18% 0% 122
3 Physics, Mathematical 226 6% 0% 39
4 Statistics & Probability 4 1% 0% 8
5 Multidisciplinary Sciences 2 1% 0% 4
6 Materials Science, Characterization, Testing -0 0% 0% 1
7 Mechanics -2 1% 0% 4
8 Physics, Particles & Fields -2 0% 0% 3
9 Computer Science, Artificial Intelligence -3 0% 0% 1
10 Engineering, Mechanical -5 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 XEOMETRIA TOPOLOXIA 124881 2% 23% 12
2 XEOMETRIA TOPOL 96078 1% 30% 7
3 GARC 57986 0% 43% 3
4 C JORDAN UMR CNRS 5028 45103 0% 100% 1
5 CNRSLML 45103 0% 100% 1
6 DPTO XEOMETRIA TOPOLOXIA 45103 0% 100% 1
7 F CC EE 45103 0% 100% 1
8 FEDERAT NORD PAS CALAIS FR 2956UP EA 2462 45103 0% 100% 1
9 MACH MC 249 45103 0% 100% 1
10 MATH BRETAGNE ATLANT UMR 6205 45103 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 29341 4% 3% 24
2 TOHOKU MATHEMATICAL JOURNAL 19368 3% 2% 23
3 GEOMETRIAE DEDICATA 11795 4% 1% 28
4 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 10712 3% 1% 17
5 ANNALES DE L INSTITUT FOURIER 9137 3% 1% 21
6 JOURNAL OF GEOMETRY AND PHYSICS 8517 3% 1% 22
7 ILLINOIS JOURNAL OF MATHEMATICS 7976 3% 1% 18
8 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 6485 5% 0% 35
9 INTERNATIONAL JOURNAL OF MATHEMATICS 5596 2% 1% 14
10 JOURNAL OF DIFFERENTIAL GEOMETRY 5151 2% 1% 14

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 HARMONIC MORPHISMS 1162704 6% 66% 39 Search HARMONIC+MORPHISMS Search HARMONIC+MORPHISMS
2 RIEMANNIAN FOLIATION 1001940 6% 58% 38 Search RIEMANNIAN+FOLIATION Search RIEMANNIAN+FOLIATION
3 RIEMANNIAN SUBMERSION 453303 4% 36% 28 Search RIEMANNIAN+SUBMERSION Search RIEMANNIAN+SUBMERSION
4 P HARMONIC MORPHISMS 276252 1% 88% 7 Search P+HARMONIC+MORPHISMS Search P+HARMONIC+MORPHISMS
5 SLANT SUBMERSION 270616 1% 100% 6 Search SLANT+SUBMERSION Search SLANT+SUBMERSION
6 RIEMANNIAN MAP 262411 1% 73% 8 Search RIEMANNIAN+MAP Search RIEMANNIAN+MAP
7 BASIC COHOMOLOGY 240542 1% 67% 8 Search BASIC+COHOMOLOGY Search BASIC+COHOMOLOGY
8 ANTI INVARIANT RIEMANNIAN SUBMERSION 225513 1% 100% 5 Search ANTI+INVARIANT+RIEMANNIAN+SUBMERSION Search ANTI+INVARIANT+RIEMANNIAN+SUBMERSION
9 ANTI INVARIANT SUBMERSION 225513 1% 100% 5 Search ANTI+INVARIANT+SUBMERSION Search ANTI+INVARIANT+SUBMERSION
10 TRANSVERSALLY EINSTEINIAN 225513 1% 100% 5 Search TRANSVERSALLY+EINSTEINIAN Search TRANSVERSALLY+EINSTEINIAN

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 HABIB, G , RICHARDSON, K , (2013) MODIFIED DIFFERENTIALS AND BASIC COHOMOLOGY FOR RIEMANNIAN FOLIATIONS.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 23. ISSUE 3. P. 1314 -1342 22 92% 2
2 PARK, KS , (2015) ALMOST H-SEMI-SLANT RIEMANNIAN MAPS TO ALMOST QUATERNIONIC HERMITIAN MANIFOLDS.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. VOL. 17. ISSUE 6. P. - 21 84% 1
3 NOZAWA, H , PRIETO, JIR , (2014) TENSENESS OF RIEMANNIAN FLOWS.ANNALES DE L INSTITUT FOURIER. VOL. 64. ISSUE 4. P. 1419 -1439 17 100% 1
4 AZAD, H , MUSTAFA, MT , (2007) HARMONIC MORPHISMS OF WARPED PRODUCT TYPE FROM EINSTEIN MANIFOLDS.ARCHIV DER MATHEMATIK. VOL. 88. ISSUE 4. P. 368-377 18 100% 0
5 PRIETO, JI , SARALEGI-ARANGUREN, M , WOLAK, R , (2009) COHOMOLOGICAL TAUTNESS FOR RIEMANNIAN FOLIATIONS.RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS. VOL. 16. ISSUE 3. P. 450 -466 15 100% 4
6 ROVENSKI, V , WOLAK, R , (2013) DEFORMING METRICS OF FOLIATIONS.CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. VOL. 11. ISSUE 6. P. 1039 -1055 13 100% 2
7 BERI, A , ERKEN, IK , MURATHAN, C , (2016) ANTI-INVARIANT RIEMANNIAN SUBMERSIONS FROM KENMOTSU MANIFOLDS ONTO RIEMANNIAN MANIFOLDS.TURKISH JOURNAL OF MATHEMATICS. VOL. 40. ISSUE 3. P. 540 -552 12 92% 1
8 DAL JUNG, S , JUNG, MJ , (2014) TRANSVERSALLY HOLOMORPHIC MAPS BETWEEN KAHLER FOLIATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 416. ISSUE 2. P. 683 -697 12 92% 0
9 DAL JUNG, S , RICHARDSON, K , (2012) TRANSVERSE CONFORMAL KILLING FORMS AND A GALLOT-MEYER THEOREM FOR FOLIATIONS.MATHEMATISCHE ZEITSCHRIFT. VOL. 270. ISSUE 1-2. P. 337 -350 13 87% 2
10 JUNG, MJ , DAL JUNG, S , (2008) RIEMANNIAN FOLIATIONS ADMITTING TRANSVERSAL CONFORMAL FIELDS.GEOMETRIAE DEDICATA. VOL. 133. ISSUE 1. P. 155 -168 12 100% 5

Classes with closest relation at Level 1


Rank Class id link
1 14169 GROUP OF HOMEOMORPHISMS//BRANCHED SURFACE//ISOLATED ORDERING
2 36702 COMPLEX KLEINIAN GROUPS//PROJECTIVE COMPLEX PLANE//LIMIT SET
3 7222 SOLVMANIFOLD//TWISTOR SPACES//MATEMAT SIMION STOILOW
4 5691 QUASI EINSTEIN MANIFOLD//SASAKI METRIC//ALMOST KENMOTSU MANIFOLD
5 19508 DIRAC OPERATOR//CHARACTERISTIC CONNECTION//PARALLEL SPINORS
6 14956 POLAR ACTIONS//MOBIUS METRIC//ISOPARAMETRIC HYPERSURFACE
7 9891 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE
8 10155 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//BAUM CONNES CONJECTURE
9 17175 GEODESIC CONNECTEDNESS//LIGHT RAYS//LORENTZIAN MANIFOLDS
10 11476 SLANT SUBMANIFOLD//LAGRANGIAN SUBMANIFOLD//SEMI SLANT SUBMANIFOLD

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