Class information for:
Level 1: AFFINE DIFFERENTIAL GEOMETRY//AFFINE HYPERSPHERES//AFFINE SPHERE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
24886 298 13.6 32%


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
24886 1                   AFFINE DIFFERENTIAL GEOMETRY//AFFINE HYPERSPHERES//AFFINE SPHERE 298

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 AFFINE DIFFERENTIAL GEOMETRY authKW 1002386 5% 65% 15
2 AFFINE HYPERSPHERES authKW 953730 4% 85% 11
3 AFFINE SPHERE authKW 774901 4% 69% 11
4 TCHEBYCHEV VECTOR FIELD authKW 512336 2% 100% 5
5 CYLINDER THEOREM authKW 426945 2% 83% 5
6 PICK INVARIANT authKW 426945 2% 83% 5
7 CENTER MAP authKW 409869 1% 100% 4
8 CENTROAFFINE DIFFERENTIAL GEOMETRY authKW 409869 1% 100% 4
9 PARALLEL CUBIC FORM authKW 409869 1% 100% 4
10 RELATIVE NULLITY DISTRIBUTION authKW 409869 1% 100% 4

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 13749 91% 0% 272
2 Mathematics, Applied 1406 28% 0% 83
3 Physics, Mathematical 43 4% 0% 12
4 History & Philosophy of Science 1 0% 0% 1
5 Computer Science, Software Engineering 0 1% 0% 2
6 Multidisciplinary Sciences 0 0% 0% 1
7 Physics, Nuclear -0 1% 0% 2
8 Statistics & Probability -0 0% 0% 1
9 Physics, Particles & Fields -0 1% 0% 2
10 Computer Science, Information Systems -0 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 BIOPHYS MED PHYS GRIGORE T POPA 102467 0% 100% 1
2 MATHEMAT MA 8 3 102467 0% 100% 1
3 ISTV2 88326 2% 17% 5
4 LAMATH 78064 1% 19% 4
5 WISKUNDE 73630 5% 5% 15
6 LASERS ATOMS MOL PHYS 68305 1% 17% 4
7 COMP SCI INFORMAT TECHNOL MATH PHYS 51233 0% 50% 1
8 HBEREICH MATH MA 8 3 51233 0% 50% 1
9 KATEDRA MATEMATYKI 34154 0% 33% 1
10 LAMATH ISTV2 34154 0% 33% 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 RESULTS IN MATHEMATICS 70604 7% 3% 22
2 GEOMETRIAE DEDICATA 32938 10% 1% 31
3 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 21594 5% 1% 16
4 BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS 14803 2% 2% 6
5 TOHOKU MATHEMATICAL JOURNAL 10067 4% 1% 11
6 ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG 7807 2% 1% 7
7 HOKKAIDO MATHEMATICAL JOURNAL 5583 1% 2% 3
8 MONATSHEFTE FUR MATHEMATIK 4516 3% 0% 10
9 INTERNATIONAL JOURNAL OF MATHEMATICS 4156 3% 1% 8
10 NAGOYA MATHEMATICAL JOURNAL 4136 2% 1% 7

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 AFFINE DIFFERENTIAL GEOMETRY 1002386 5% 65% 15 Search AFFINE+DIFFERENTIAL+GEOMETRY Search AFFINE+DIFFERENTIAL+GEOMETRY
2 AFFINE HYPERSPHERES 953730 4% 85% 11 Search AFFINE+HYPERSPHERES Search AFFINE+HYPERSPHERES
3 AFFINE SPHERE 774901 4% 69% 11 Search AFFINE+SPHERE Search AFFINE+SPHERE
4 TCHEBYCHEV VECTOR FIELD 512336 2% 100% 5 Search TCHEBYCHEV+VECTOR+FIELD Search TCHEBYCHEV+VECTOR+FIELD
5 CYLINDER THEOREM 426945 2% 83% 5 Search CYLINDER+THEOREM Search CYLINDER+THEOREM
6 PICK INVARIANT 426945 2% 83% 5 Search PICK+INVARIANT Search PICK+INVARIANT
7 CENTER MAP 409869 1% 100% 4 Search CENTER+MAP Search CENTER+MAP
8 CENTROAFFINE DIFFERENTIAL GEOMETRY 409869 1% 100% 4 Search CENTROAFFINE+DIFFERENTIAL+GEOMETRY Search CENTROAFFINE+DIFFERENTIAL+GEOMETRY
9 PARALLEL CUBIC FORM 409869 1% 100% 4 Search PARALLEL+CUBIC+FORM Search PARALLEL+CUBIC+FORM
10 RELATIVE NULLITY DISTRIBUTION 409869 1% 100% 4 Search RELATIVE+NULLITY+DISTRIBUTION Search RELATIVE+NULLITY+DISTRIBUTION

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 LI, C , ZHANG, D , (2015) THE GENERALIZED CAYLEY HYPERSURFACES AND THEIR GEOMETRICAL CHARACTERIZATION.RESULTS IN MATHEMATICS. VOL. 68. ISSUE 1-2. P. 25 -44 19 100% 0
2 LI, C , (2016) LOCALLY HOMOGENEOUS AFFINE HYPERSPHERES WITH CONSTANT SECTIONAL CURVATURE.KODAI MATHEMATICAL JOURNAL. VOL. 39. ISSUE 1. P. 35 -58 18 100% 0
3 LI, XX , ZHAO, GS , (2015) ON THE EQUIAFFINE SYMMETRIC HYPERSPHERES.RESULTS IN MATHEMATICS. VOL. 68. ISSUE 1-2. P. 117 -142 17 100% 0
4 LI, CC , (2014) AFFINE HYPERSURFACES WITH PARALLEL DIFFERENCE TENSOR RELATIVE TO AFFINE ALPHA-CONNECTION.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 86. ISSUE . P. 81 -93 17 100% 0
5 HU, ZJ , LI, CC , LI, HZ , VRANCKEN, L , (2011) THE CLASSIFICATION OF 4-DIMENSIONAL NON-DEGENERATE AFFINE HYPERSURFACES WITH PARALLEL CUBIC FORM.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 61. ISSUE 11. P. 2035-2057 17 100% 3
6 HU, ZJ , LI, CC , (2011) THE CLASSIFICATION OF 3-DIMENSIONAL LORENTZIAN AFFINE HYPERSURFACES WITH PARALLEL CUBIC FORM.DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. VOL. 29. ISSUE 3. P. 361-373 14 93% 2
7 HU, ZJ , LI, HZ , VRANCKEN, L , (2017) ON FOUR-DIMENSIONAL EINSTEIN AFFINE HYPERSPHERES.DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. VOL. 50. ISSUE . P. 20 -33 13 87% 0
8 HU, ZJ , LI, CC , LI, HZ , VRANCKEN, L , (2011) LORENTZIAN AFFINE HYPERSURFACES WITH PARALLEL CUBIC FORM.RESULTS IN MATHEMATICS. VOL. 59. ISSUE 3-4. P. 577-620 12 100% 6
9 HU, ZJ , LI, C , ZHANG, CJ , (2014) ON QUASI-UMBILICAL LOCALLY STRONGLY CONVEX HOMOGENEOUS AFFINE HYPERSURFACES.DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. VOL. 33. ISSUE . P. 46-74 12 92% 1
10 LI, XX , (2014) A NEW CHARACTERIZATION OF CALABI COMPOSITION OF HYPERBOLIC AFFINE HYPERSPHERES.RESULTS IN MATHEMATICS. VOL. 66. ISSUE 1-2. P. 137 -158 12 92% 0

Classes with closest relation at Level 1


Rank Class id link
1 17113 MONGE AMPERE EQUATION//HESSIAN EQUATION//BERNSTEIN PROPERTY
2 31537 MULTITIME MAXIMUM PRINCIPLE//MATH INFORMAT 1//BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS
3 11476 SLANT SUBMANIFOLD//LAGRANGIAN SUBMANIFOLD//SEMI SLANT SUBMANIFOLD
4 28706 ORTHOSYMPLECTIC SUPERALGEBRA//WEIGHTED DENSITIES//POISSON SUPERALGEBRA
5 14956 POLAR ACTIONS//MOBIUS METRIC//ISOPARAMETRIC HYPERSURFACE
6 14508 NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//ALMOST BIEBERBACH GROUP
7 13463 KAHLER ANGLE//HARMONIC MAPS//COMPLEX GRASSMANN MANIFOLD
8 17478 BIHARMONIC MAPS//BIHARMONIC SUBMANIFOLDS//POINTWISE 1 TYPE GAUSS MAP
9 5691 QUASI EINSTEIN MANIFOLD//SASAKI METRIC//ALMOST KENMOTSU MANIFOLD
10 35025 VANISHING HESSIAN//SCORZA VARIETY//ACCOMMODATION AND RESISTANCE

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