Class information for:
Level 1: SLANT SUBMANIFOLD//LAGRANGIAN SUBMANIFOLD//SEMI SLANT SUBMANIFOLD

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
11476 979 15.7 41%


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
11476 1                   SLANT SUBMANIFOLD//LAGRANGIAN SUBMANIFOLD//SEMI SLANT SUBMANIFOLD 979

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 SLANT SUBMANIFOLD authKW 1281511 4% 96% 43
2 LAGRANGIAN SUBMANIFOLD authKW 854379 7% 42% 66
3 SEMI SLANT SUBMANIFOLD authKW 438591 2% 94% 15
4 WARPED PRODUCT authKW 419921 4% 32% 42
5 SPECIAL LAGRANGIAN SUBMANIFOLD authKW 350867 2% 75% 15
6 SQUARED MEAN CURVATURE authKW 343077 1% 100% 11
7 CR SUBMANIFOLD authKW 283513 2% 45% 20
8 ISTV2 address 275308 2% 55% 16
9 LAGRANGIAN SURFACES authKW 265907 2% 47% 18
10 C TOTALLY REAL SUBMANIFOLD authKW 249511 1% 100% 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 46248 92% 0% 904
2 Mathematics, Applied 3158 23% 0% 228
3 Physics, Mathematical 236 5% 0% 49
4 Statistics & Probability 0 1% 0% 7
5 Multidisciplinary Sciences 0 0% 0% 3
6 Mathematics, Interdisciplinary Applications 0 1% 0% 5
7 Physics, Particles & Fields -0 1% 0% 9
8 Engineering, General -0 0% 0% 4
9 Computer Science, Software Engineering -3 0% 0% 1
10 Nutrition & Dietetics -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 ISTV2 275308 2% 55% 16
2 LAMATH 179697 1% 52% 11
3 WISKUNDE 89626 3% 10% 30
4 GRP EXACT SCI 62374 0% 50% 4
5 MATH MODELLING ECON ANAL STAT 55442 0% 44% 4
6 DIP MATEMAT PL ARCHITETTURA 41584 0% 67% 2
7 ENGN LOGIST 38708 1% 21% 6
8 GEOMETRY TOPOL ALGEBRA 38708 1% 21% 6
9 DEPARTIMENTO MATEMAT PL ARCHITECTURE 31189 0% 100% 1
10 DEPARTIMENTO MATEMAT PL ARCHITETTURA 31189 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 26653 2% 4% 23
2 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 22002 3% 3% 25
3 TOHOKU MATHEMATICAL JOURNAL 21286 3% 2% 29
4 TURKISH JOURNAL OF MATHEMATICS 20705 2% 3% 21
5 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 17331 3% 2% 26
6 JOURNAL OF GEOMETRY AND PHYSICS 14914 4% 1% 35
7 JOURNAL OF DIFFERENTIAL GEOMETRY 14270 3% 2% 28
8 BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS 8001 1% 3% 8
9 GEOMETRIAE DEDICATA 7566 3% 1% 27
10 TAIWANESE JOURNAL OF MATHEMATICS 5877 2% 1% 18

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 SLANT SUBMANIFOLD 1281511 4% 96% 43 Search SLANT+SUBMANIFOLD Search SLANT+SUBMANIFOLD
2 LAGRANGIAN SUBMANIFOLD 854379 7% 42% 66 Search LAGRANGIAN+SUBMANIFOLD Search LAGRANGIAN+SUBMANIFOLD
3 SEMI SLANT SUBMANIFOLD 438591 2% 94% 15 Search SEMI+SLANT+SUBMANIFOLD Search SEMI+SLANT+SUBMANIFOLD
4 WARPED PRODUCT 419921 4% 32% 42 Search WARPED+PRODUCT Search WARPED+PRODUCT
5 SPECIAL LAGRANGIAN SUBMANIFOLD 350867 2% 75% 15 Search SPECIAL+LAGRANGIAN+SUBMANIFOLD Search SPECIAL+LAGRANGIAN+SUBMANIFOLD
6 SQUARED MEAN CURVATURE 343077 1% 100% 11 Search SQUARED+MEAN+CURVATURE Search SQUARED+MEAN+CURVATURE
7 CR SUBMANIFOLD 283513 2% 45% 20 Search CR+SUBMANIFOLD Search CR+SUBMANIFOLD
8 LAGRANGIAN SURFACES 265907 2% 47% 18 Search LAGRANGIAN+SURFACES Search LAGRANGIAN+SURFACES
9 C TOTALLY REAL SUBMANIFOLD 249511 1% 100% 8 Search C+TOTALLY+REAL+SUBMANIFOLD Search C+TOTALLY+REAL+SUBMANIFOLD
10 CHEN INEQUALITY 249511 1% 100% 8 Search CHEN+INEQUALITY Search CHEN+INEQUALITY

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 CHEN, BY , (2001) RIEMANNIAN GEOMETRY OF LAGRANGIAN SUBMANIFOLDS.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 5. ISSUE 4. P. 681 -723 51 93% 25
2 VILCU, GE , (2013) ON CHEN INVARIANTS AND INEQUALITIES IN QUATERNIONIC GEOMETRY.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 25 93% 7
3 SUCEAVA, BD , (2015) ON STRONGLY MINIMAL KAHLER SURFACES IN C-3 AND THE EQUALITY SCAL(P)=4INF SEC(PI(R)).RESULTS IN MATHEMATICS. VOL. 68. ISSUE 1-2. P. 45 -69 21 100% 0
4 ANCIAUX, H , CASTRO, I , (2011) CONSTRUCTION OF HAMILTONIAN-MINIMAL LAGRANGIAN SUBMANIFOLDS IN COMPLEX EUCLIDEAN SPACE.RESULTS IN MATHEMATICS. VOL. 60. ISSUE 1-4. P. 325-349 23 96% 5
5 ANCIAUX, H , GEORGIOU, N , (2014) HAMILTONIAN STABILITY OF HAMILTONIAN MINIMAL LAGRANGIAN SUBMANIFOLDS IN PSEUDO- AND PARA-KAHLER MANIFOLDS.ADVANCES IN GEOMETRY. VOL. 14. ISSUE 4. P. 587 -612 20 100% 0
6 PACINI, T , (2013) SPECIAL LAGRANGIAN CONIFOLDS, II: GLUING CONSTRUCTIONS IN C-M.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 107. ISSUE . P. 225-266 20 100% 1
7 SLESAR, V , SAHIN, B , VILCU, GE , (2014) INEQUALITIES FOR THE CASORATI CURVATURES OF SLANT SUBMANIFOLDS IN QUATERNIONIC SPACE FORMS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 17 100% 7
8 CHEN, BY , GARAY, OJ , ZHOU, ZF , (2009) HAMILTONIAN-STATIONARY LAGRANGIAN SURFACES OF CONSTANT CURVATURE EPSILON IN COMPLEX SPACE FORM (M)OVER-TILDE(2)(4 EPSILON).NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 71. ISSUE 7-8. P. 2640 -2659 20 100% 1
9 ZHANG, Y , DIOOS, B , HU, Z , VRANCKEN, L , WANG, X , (2016) LAGRANGIAN SUBMANIFOLDS IN THE 6-DIMENSIONAL NEARLY KAHLER MANIFOLDS WITH PARALLEL SECOND FUNDAMENTAL FORM.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 108. ISSUE . P. 21 -37 17 89% 0
10 ZHANG, P , ZHANG, L , (2016) INEQUALITIES FOR CASORATI CURVATURES OF SUBMANIFOLDS IN REAL SPACE FORMS.ADVANCES IN GEOMETRY. VOL. 16. ISSUE 3. P. 329 -335 15 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 13463 KAHLER ANGLE//HARMONIC MAPS//COMPLEX GRASSMANN MANIFOLD
2 17478 BIHARMONIC MAPS//BIHARMONIC SUBMANIFOLDS//POINTWISE 1 TYPE GAUSS MAP
3 14956 POLAR ACTIONS//MOBIUS METRIC//ISOPARAMETRIC HYPERSURFACE
4 24886 AFFINE DIFFERENTIAL GEOMETRY//AFFINE HYPERSPHERES//AFFINE SPHERE
5 33278 Q VALUED FUNCTIONS//FINITE SUBSET SPACE//MULTIPLE VALUED FUNCTIONS
6 21171 REAL HYPERSURFACES//HOPF HYPERSURFACE//COMPLEX TWO PLANE GRASSMANNIANS
7 16251 G2 STRUCTURE//G2 MANIFOLDS//HOLONOMY ALGEBRA
8 5691 QUASI EINSTEIN MANIFOLD//SASAKI METRIC//ALMOST KENMOTSU MANIFOLD
9 1791 CONSTANT MEAN CURVATURE//SPACELIKE HYPERSURFACE//GEOMETRIA TOPOL
10 19052 WILLMORE FUNCTIONAL//ELASTIC CURVES//WILLMORE SURFACES

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