Class information for:
Level 1: WILLMORE FUNCTIONAL//ELASTIC CURVES//WILLMORE SURFACES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19052 524 20.7 47%


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
19052 1                   WILLMORE FUNCTIONAL//ELASTIC CURVES//WILLMORE SURFACES 524

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 WILLMORE FUNCTIONAL authKW 678578 4% 61% 19
2 ELASTIC CURVES authKW 609026 3% 58% 18
3 WILLMORE SURFACES authKW 601022 4% 54% 19
4 WILLMORE FLOW authKW 532763 3% 57% 16
5 CURVE STRAIGHTENING authKW 349635 1% 100% 6
6 NONLINEAR SPLINE authKW 291362 1% 100% 5
7 WEAK IMMERSIONS authKW 291362 1% 100% 5
8 KIRCHHOFF ELASTIC RODS authKW 233090 1% 100% 4
9 RELAXED ELASTIC LINE authKW 233090 1% 100% 4
10 WILLMORE CHEN SUBMANIFOLD authKW 233090 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 8543 55% 0% 288
2 Mathematics, Applied 3282 32% 0% 167
3 Physics, Mathematical 1178 14% 0% 72
4 Physics, Particles & Fields 798 14% 0% 71
5 Physics, Nuclear 314 8% 0% 42
6 Astronomy & Astrophysics 111 7% 0% 39
7 Physics, Multidisciplinary 71 7% 0% 37
8 Computer Science, Software Engineering 32 2% 0% 12
9 Computer Science, Cybernetics 5 0% 0% 2
10 Computer Science, Artificial Intelligence 4 1% 0% 7

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 GEOMETRIA TOPOL 121315 9% 5% 45
2 KATEDRA GEOMETRII WYDZIAL MATEMAT INFORMAT 116545 0% 100% 2
3 ALGEBRA COMP GEOMET TOPOL 58272 0% 100% 1
4 DIFFERENTIALGEOMET 58272 0% 100% 1
5 FOR UNGS ITUT MATH 58272 0% 100% 1
6 GRUPPO SALERNO 58272 0% 100% 1
7 KATEDRA GEOMETRII 38846 0% 33% 2
8 UMR CNRS 5584 30987 1% 11% 5
9 GEOMETRA TOPOL 29135 0% 50% 1
10 MATH FB08 29135 0% 50% 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 ADVANCES IN CALCULUS OF VARIATIONS 18772 1% 5% 7
2 INTERFACES AND FREE BOUNDARIES 11460 2% 2% 8
3 JOURNAL OF GEOMETRY AND PHYSICS 8212 4% 1% 19
4 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 7954 2% 1% 11
5 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 7147 3% 1% 14
6 JOURNAL OF GEOMETRIC ANALYSIS 5198 2% 1% 9
7 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 4606 1% 1% 7
8 JOURNAL OF DIFFERENTIAL GEOMETRY 3394 2% 1% 10
9 ANNALES POLONICI MATHEMATICI 2519 1% 1% 5
10 BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY 1926 1% 1% 4

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 WILLMORE FUNCTIONAL 678578 4% 61% 19 Search WILLMORE+FUNCTIONAL Search WILLMORE+FUNCTIONAL
2 ELASTIC CURVES 609026 3% 58% 18 Search ELASTIC+CURVES Search ELASTIC+CURVES
3 WILLMORE SURFACES 601022 4% 54% 19 Search WILLMORE+SURFACES Search WILLMORE+SURFACES
4 WILLMORE FLOW 532763 3% 57% 16 Search WILLMORE+FLOW Search WILLMORE+FLOW
5 CURVE STRAIGHTENING 349635 1% 100% 6 Search CURVE+STRAIGHTENING Search CURVE+STRAIGHTENING
6 NONLINEAR SPLINE 291362 1% 100% 5 Search NONLINEAR+SPLINE Search NONLINEAR+SPLINE
7 WEAK IMMERSIONS 291362 1% 100% 5 Search WEAK+IMMERSIONS Search WEAK+IMMERSIONS
8 KIRCHHOFF ELASTIC RODS 233090 1% 100% 4 Search KIRCHHOFF+ELASTIC+RODS Search KIRCHHOFF+ELASTIC+RODS
9 RELAXED ELASTIC LINE 233090 1% 100% 4 Search RELAXED+ELASTIC+LINE Search RELAXED+ELASTIC+LINE
10 WILLMORE CHEN SUBMANIFOLD 233090 1% 100% 4 Search WILLMORE+CHEN+SUBMANIFOLD Search WILLMORE+CHEN+SUBMANIFOLD

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 GIMENEZ, A , (2010) RELATIVISTIC PARTICLES ALONG NULL CURVES IN 3D LORENTZIAN SPACE FORMS.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 20. ISSUE 9. P. 2851 -2859 28 90% 0
2 NDIAYE, CB , SCHATZLE, RM , (2015) WILLMORE SURFACES WITH NONREMOVABLE SINGULARITIES AND NUMBER OF CRITICAL LEVELS.MATHEMATISCHE ANNALEN. VOL. 362. ISSUE 3-4. P. 1201 -1221 22 88% 0
3 LAURAIN, P , MONDINO, A , (2014) CONCENTRATION OF SMALL WILLMORE SPHERES IN RIEMANNIAN 3-MANIFOLDS.ANALYSIS & PDE. VOL. 7. ISSUE 8. P. 1901 -1921 22 88% 0
4 BERNARD, Y , (2016) NOETHER'S THEOREM AND THE WILLMORE FUNCTIONAL.ADVANCES IN CALCULUS OF VARIATIONS. VOL. 9. ISSUE 3. P. 217 -234 24 67% 1
5 MARQUES, FC , NEVES, A , (2014) MIN-MAX THEORY AND THE WILLMORE CONJECTURE.ANNALS OF MATHEMATICS. VOL. 179. ISSUE 2. P. 683 -782 16 80% 37
6 KAWAKUBO, S , (2014) EXTENDABILITY OF KIRCHHOFF ELASTIC RODS IN COMPLETE RIEMANNIAN MANIFOLDS.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 55. ISSUE 8. P. - 24 67% 0
7 KAWAKUBO, S , (2013) GLOBAL SOLUTIONS OF THE EQUATION OF THE KIRCHHOFF ELASTIC ROD IN SPACE FORMS.BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 88. ISSUE 1. P. 70-80 19 76% 0
8 KAWAKUBO, S , (2014) KIRCHHOFF ELASTIC RODS IN FIVE-DIMENSIONAL SPACE FORMS WHOSE CENTERLINES ARE NOT HELICES.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 76. ISSUE . P. 158-168 18 78% 0
9 LAMM, T , NGUYEN, HT , (2014) QUANTITATIVE RIGIDITY RESULTS FOR CONFORMAL IMMERSIONS.AMERICAN JOURNAL OF MATHEMATICS. VOL. 136. ISSUE 5. P. 1409 -1440 19 70% 0
10 NDIAYE, CB , SCHATZLE, RM , (2015) NEW EXAMPLES OF CONFORMALLY CONSTRAINED WILLMORE MINIMIZERS OF EXPLICIT TYPE.ADVANCES IN CALCULUS OF VARIATIONS. VOL. 8. ISSUE 4. P. 291 -319 14 93% 0

Classes with closest relation at Level 1


Rank Class id link
1 23427 SLANT HELIX//GENERAL HELIX//BERTRAND CURVE
2 26953 LIE QUADRATIC//RIEMANNIAN CUBIC//COMP SCI GRP COMP SCI
3 13463 KAHLER ANGLE//HARMONIC MAPS//COMPLEX GRASSMANN MANIFOLD
4 7899 MEAN CURVATURE FLOW//CURVATURE FLOW//SELF SHRINKER
5 17478 BIHARMONIC MAPS//BIHARMONIC SUBMANIFOLDS//POINTWISE 1 TYPE GAUSS MAP
6 15051 MOVING FRAME//DIFFERENTIAL INVARIANTS//PENTAGRAM MAP
7 23915 MINKOWSKI CONTENT//COMPLEX DIMENSIONS//FRACTAL STRING
8 25454 SKEW LOOP//TANTRIX//FOUR VERTEX THEOREM
9 30584 CLOSEST POINT METHOD//EVOLVING SURFACES//EVOLVING SURFACE FINITE ELEMENT METHOD
10 23498 ZITTERBEWEGUNG//THEORIES WITH CONSTRAINTS//SEMICLASSICAL DESCRIPTION OF RELATIVISTIC SPIN

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