Class information for:
Level 1: CURVATURE BOUNDED ABOVE//CATK SPACES//LAMBDA CONVEX SET

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
34062 116 15.9 24%


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
34062 1                   CURVATURE BOUNDED ABOVE//CATK SPACES//LAMBDA CONVEX SET 116

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 CURVATURE BOUNDED ABOVE authKW 789714 3% 100% 3
2 CATK SPACES authKW 701965 3% 67% 4
3 LAMBDA CONVEX SET authKW 526476 2% 100% 2
4 LOCALLY CONVEX IMMERSION authKW 526476 2% 100% 2
5 SEMI CONCAVE FUNCTIONS authKW 526476 2% 100% 2
6 SHY COUPLING authKW 526476 2% 100% 2
7 CAT0 GEOMETRY authKW 394854 3% 50% 3
8 CATK authKW 350983 2% 67% 2
9 PURSUIT CURVE authKW 350983 2% 67% 2
10 ALMOST UMBILICAL HYPERSURFACE authKW 263238 1% 100% 1

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 5059 89% 0% 103
2 Mathematics, Applied 119 14% 0% 16
3 Statistics & Probability 28 4% 0% 5
4 Microscopy 6 1% 0% 1
5 Computer Science, Theory & Methods 5 3% 0% 3
6 Automation & Control Systems 5 2% 0% 2
7 Physics, Mathematical 1 2% 0% 2
8 Multidisciplinary Sciences 1 1% 0% 1
9 Operations Research & Management Science 0 1% 0% 1
10 Computer Science, Software Engineering 0 1% 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 MATH ANAL OPTIMIZAT 263238 1% 100% 1
2 RENYI ALFRED MATEMAT KUTATOINTEZET 43871 1% 17% 1
3 GEOMETRY 38375 6% 2% 7
4 COORDINATE SCI 37604 1% 14% 1
5 EDIFICI CC 21935 1% 8% 1
6 GEOMETRIE 11827 2% 2% 2
7 GEOMETRIA TOPOL 6761 4% 1% 5
8 TOPOL 6660 2% 1% 2
9 MATH MECH ENGN 6120 1% 2% 1
10 GEOMETRIE TOPOL 4176 1% 2% 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 GEOMETRIAE DEDICATA 17263 12% 0% 14
2 MANUSCRIPTA MATHEMATICA 8120 9% 0% 10
3 ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG 6552 3% 1% 4
4 JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY 6339 2% 1% 2
5 SIBERIAN MATHEMATICAL JOURNAL 5579 7% 0% 8
6 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 5415 4% 0% 5
7 ILLINOIS JOURNAL OF MATHEMATICS 3598 4% 0% 5
8 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 2674 3% 0% 3
9 IMAGE ANALYSIS & STEREOLOGY 2174 1% 1% 1
10 ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY 1948 1% 1% 1

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 CURVATURE BOUNDED ABOVE 789714 3% 100% 3 Search CURVATURE+BOUNDED+ABOVE Search CURVATURE+BOUNDED+ABOVE
2 CATK SPACES 701965 3% 67% 4 Search CATK+SPACES Search CATK+SPACES
3 LAMBDA CONVEX SET 526476 2% 100% 2 Search LAMBDA+CONVEX+SET Search LAMBDA+CONVEX+SET
4 LOCALLY CONVEX IMMERSION 526476 2% 100% 2 Search LOCALLY+CONVEX+IMMERSION Search LOCALLY+CONVEX+IMMERSION
5 SEMI CONCAVE FUNCTIONS 526476 2% 100% 2 Search SEMI+CONCAVE+FUNCTIONS Search SEMI+CONCAVE+FUNCTIONS
6 SHY COUPLING 526476 2% 100% 2 Search SHY+COUPLING Search SHY+COUPLING
7 CAT0 GEOMETRY 394854 3% 50% 3 Search CAT0+GEOMETRY Search CAT0+GEOMETRY
8 CATK 350983 2% 67% 2 Search CATK Search CATK
9 PURSUIT CURVE 350983 2% 67% 2 Search PURSUIT+CURVE Search PURSUIT+CURVE
10 ALMOST UMBILICAL HYPERSURFACE 263238 1% 100% 1 Search ALMOST+UMBILICAL+HYPERSURFACE Search ALMOST+UMBILICAL+HYPERSURFACE

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 ALEXANDER, SB , BISHOP, RL , (2016) WARPED PRODUCTS ADMITTING A CURVATURE BOUND.ADVANCES IN MATHEMATICS. VOL. 303. ISSUE . P. 88 -122 7 78% 0
2 RESHETNYAK, YG , (2005) THE THEORY OF CURVES IN DIFFERENTIAL GEOMETRY FROM THE VIEWPOINT OF THE THEORY OF FUNCTIONS OF A REAL VARIABLE.RUSSIAN MATHEMATICAL SURVEYS. VOL. 60. ISSUE 6. P. 1165-1181 7 100% 1
3 BORISENKO, AA , TENENBLAT, K , (2012) ON THE TOTAL CURVATURE OF CURVES IN A MINKOWSKI SPACE.ISRAEL JOURNAL OF MATHEMATICS. VOL. 191. ISSUE 2. P. 755-769 5 100% 0
4 NAVEIRA, AM , REVENTOS, A , (2009) NOTE ON THE LIFE AND WORK OF L. A. SANTALO.REVISTA DE LA UNION MATEMATICA ARGENTINA. VOL. 50. ISSUE 2. P. 227 -263 12 44% 0
5 ALEXANDER, SB , BISHOP, RL , (2010) EXTRINSIC CURVATURE OF SEMICONVEX SUBSPACES IN ALEXANDROV GEOMETRY.ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. VOL. 37. ISSUE 3. P. 241 -262 6 86% 1
6 ALEXANDER, SB , BISHOP, RL , (2006) GAUSS EQUATION AND INJECTIVITY RADII FOR SUBSPACES IN SPACES OF CURVATURE BOUNDED ABOVE.GEOMETRIAE DEDICATA. VOL. 117. ISSUE 1. P. 65-84 7 70% 7
7 GALLEGO, E , SOLANES, G , (2005) INTEGRAL GEOMETRY AND GEOMETRIC INEQUALITIES IN HYPERBOLIC SPACE.DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. VOL. 22. ISSUE 3. P. 315-325 5 100% 11
8 BORISENKO, AA , DRACH, KD , (2013) CLOSENESS TO SPHERES OF HYPERSURFACES WITH NORMAL CURVATURE BOUNDED BELOW.SBORNIK MATHEMATICS. VOL. 204. ISSUE 11. P. 1565 -1583 4 100% 3
9 SOLANES, G , (2007) TOTAL ABSOLUTE CURVATURE AND TIGHT SUBMANIFOLDS IN HYPERBOLIC SPACE.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 75. ISSUE . P. 420-430 6 75% 1
10 BORISENKO, AA , (2002) CONVEX SETS IN HADAMARD MANIFOLDS.DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. VOL. 17. ISSUE 2-3. P. 111-121 5 100% 4

Classes with closest relation at Level 1


Rank Class id link
1 25454 SKEW LOOP//TANTRIX//FOUR VERTEX THEOREM
2 21095 NPC SPACE//CARTAN HADAMARD MANIFOLD//ADMISSIBLE CONVERGENCE
3 9891 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE
4 19754 REDUCED BODY//CONSTANT WIDTH//BIRKHOFF ORTHOGONALITY
5 23915 MINKOWSKI CONTENT//COMPLEX DIMENSIONS//FRACTAL STRING
6 4326 CONVEX BODY//STAR BODY//INTERSECTION BODY
7 28764 MULTIVALUED STOCHASTIC DIFFERENTIAL EQUATION//REFLECTED STOCHASTIC DIFFERENTIAL EQUATION//MEAN DERIVATIVES
8 20218 POLYA SZEGO INEQUALITY//MANIFOLDS WITH DENSITY//STEINER SYMMETRIZATION
9 21686 SKEW BROWNIAN MOTION//SCENERY RECONSTRUCTION//STOCHASTIC FLOWS OF KERNELS
10 10897 KNOT ENERGY//ROPELENGTH//MOBIUS ENERGY

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