Class information for:
Level 1: GEODESIC CONNECTEDNESS//LIGHT RAYS//LORENTZIAN MANIFOLDS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17175 613 18.1 34%


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
10 4 OPTICS//PHYSICS, PARTICLES & FIELDS//PHYSICS, MULTIDISCIPLINARY 1131262
53 3       PHYSICS, PARTICLES & FIELDS//PHYSICAL REVIEW D//ASTRONOMY & ASTROPHYSICS 90803
170 2             CLASSICAL AND QUANTUM GRAVITY//PHYSICS, PARTICLES & FIELDS//GENERAL RELATIVITY AND GRAVITATION 22381
17175 1                   GEODESIC CONNECTEDNESS//LIGHT RAYS//LORENTZIAN MANIFOLDS 613

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 GEODESIC CONNECTEDNESS authKW 896611 3% 100% 18
2 LIGHT RAYS authKW 607221 3% 76% 16
3 LORENTZIAN MANIFOLDS authKW 433877 5% 31% 28
4 GLOBAL HYPERBOLICITY authKW 400856 2% 62% 13
5 STATIONARY SPACETIMES authKW 376694 2% 69% 11
6 FOCAL DECOMPOSITION authKW 298870 1% 100% 6
7 STATIONARY LORENTZIAN MANIFOLDS authKW 298870 1% 100% 6
8 CAUCHY SURFACE authKW 271194 1% 78% 7
9 DIPARTIMENTO INTERUNIV MATEMAT address 267843 4% 24% 22
10 STATIC SPACETIME authKW 224150 1% 75% 6

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 8525 51% 0% 312
2 Physics, Mathematical 3363 21% 0% 129
3 Mathematics, Applied 3046 29% 0% 175
4 Physics, Particles & Fields 2504 22% 0% 132
5 Physics, Multidisciplinary 1474 23% 0% 144
6 Astronomy & Astrophysics 1373 21% 0% 126
7 History & Philosophy of Science 7 0% 0% 3
8 Social Work 0 0% 0% 1
9 Medical Laboratory Technology -0 0% 0% 1
10 Multidisciplinary Sciences -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 DIPARTIMENTO INTERUNIV MATEMAT 267843 4% 24% 22
2 GEOMETRIA TOPOL 149333 9% 6% 54
3 GEOMETR TOPOL 56028 1% 19% 6
4 ALGEBRA GEOMETRIA TOPOL 52126 3% 6% 17
5 ALGEBRA GEOMTRIA TOPOL 49812 0% 100% 1
6 DIP INTERUNIV MATEMAT 49812 0% 100% 1
7 DIPARTIMENTO MATEMAT INFORMAT DINI 49812 0% 100% 1
8 DPT ALGEBRA GEOMETRIA TOPOL 49812 0% 100% 1
9 GEOMETRIA TOPOLOGIA CIENCIAS 49812 0% 100% 1
10 MATEMAT MORELIA 49812 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 JOURNAL OF GEOMETRY AND PHYSICS 31176 7% 2% 40
2 CLASSICAL AND QUANTUM GRAVITY 28102 13% 1% 78
3 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 18068 3% 2% 21
4 GENERAL RELATIVITY AND GRAVITATION 14481 6% 1% 36
5 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 6906 7% 0% 41
6 JOURNAL OF MATHEMATICAL PHYSICS 6010 7% 0% 44
7 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 5615 2% 1% 10
8 BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY 3342 1% 1% 9
9 ADVANCED NONLINEAR STUDIES 3012 1% 1% 6
10 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 2890 1% 1% 6

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 GEODESIC CONNECTEDNESS 896611 3% 100% 18 Search GEODESIC+CONNECTEDNESS Search GEODESIC+CONNECTEDNESS
2 LIGHT RAYS 607221 3% 76% 16 Search LIGHT+RAYS Search LIGHT+RAYS
3 LORENTZIAN MANIFOLDS 433877 5% 31% 28 Search LORENTZIAN+MANIFOLDS Search LORENTZIAN+MANIFOLDS
4 GLOBAL HYPERBOLICITY 400856 2% 62% 13 Search GLOBAL+HYPERBOLICITY Search GLOBAL+HYPERBOLICITY
5 STATIONARY SPACETIMES 376694 2% 69% 11 Search STATIONARY+SPACETIMES Search STATIONARY+SPACETIMES
6 FOCAL DECOMPOSITION 298870 1% 100% 6 Search FOCAL+DECOMPOSITION Search FOCAL+DECOMPOSITION
7 STATIONARY LORENTZIAN MANIFOLDS 298870 1% 100% 6 Search STATIONARY+LORENTZIAN+MANIFOLDS Search STATIONARY+LORENTZIAN+MANIFOLDS
8 CAUCHY SURFACE 271194 1% 78% 7 Search CAUCHY+SURFACE Search CAUCHY+SURFACE
9 STATIC SPACETIME 224150 1% 75% 6 Search STATIC+SPACETIME Search STATIC+SPACETIME
10 LJUSTERNIK SCHNIRELMAN THEORY 212346 1% 47% 9 Search LJUSTERNIK+SCHNIRELMAN+THEORY Search LJUSTERNIK+SCHNIRELMAN+THEORY

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 CAPONIO, E , GERMINARIO, AV , SANCHEZ, M , (2016) CONVEX REGIONS OF STATIONARY SPACETIMES AND RANDERS SPACES. APPLICATIONS TO LENSING AND ASYMPTOTIC FLATNESS.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 26. ISSUE 2. P. 791 -836 24 71% 3
2 SANCHEZ, M , (2009) CAUSAL BOUNDARIES AND HOLOGRAPHY ON WAVE TYPE SPACETIMES.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 71. ISSUE 12. P. E1744-E1764 25 86% 2
3 FLORES, JL , HERRERA, J , SANCHEZ, M , (2011) ON THE FINAL DEFINITION OF THE CAUSAL BOUNDARY AND ITS RELATION WITH THE CONFORMAL BOUNDARY.ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS. VOL. 15. ISSUE 4. P. 991 -1057 21 91% 12
4 FLORES, JL , HERRERA, J , SANCHEZ, M , (2016) HAUSDORFF SEPARABILITY OF THE BOUNDARIES FOR SPACETIMES AND SEQUENTIAL SPACES.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 57. ISSUE 2. P. - 16 100% 0
5 SANCHEZ, M , (2001) GEODESIC CONNECTEDNESS OF SEMI-RIEMANNIAN MANIFOLDS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 47. ISSUE 5. P. 3085 -3102 22 96% 12
6 MASIELLO, A , (2006) ON THE GEODESIC CONNECTEDENESS OF A CLASS OF LORENTZIAN MANIFOLDS WITH BOUNDARY.ADVANCED NONLINEAR STUDIES. VOL. 6. ISSUE 2. P. 287-308 18 100% 0
7 SANCHEZ, S , (2006) ON CAUSALITY AND CLOSED GEODESICS OF COMPACT LORENTZIAN MANIFOLDS AND STATIC SPACETIMES.DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. VOL. 24. ISSUE 1. P. 21-32 19 90% 12
8 MINGUZZI, E , SANCHEZ, M , (2006) CONNECTING SOLUTIONS OF THE LORENTZ FORCE EQUATION DO EXIST.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 264. ISSUE 2. P. 349-370 20 87% 4
9 BARTOLO, R , GERMINARIO, A , (2009) CONVEXITY CONDITIONS ON THE BOUNDARY OF A STATIONARY SPACETIME AND APPLICATIONS.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. VOL. 11. ISSUE 5. P. 739-769 17 94% 1
10 GARCIA-PARRADO, A , SENOVILLA, JMM , (2005) CAUSAL STRUCTURES AND CAUSAL BOUNDARIES.CLASSICAL AND QUANTUM GRAVITY. VOL. 22. ISSUE 9. P. R1 -R84 41 41% 24

Classes with closest relation at Level 1


Rank Class id link
1 20256 CAUSAL SETS//ABSTRACT DIFFERENTIAL GEOMETRY//BOOLEAN LOCALIZATION SYSTEMS
2 23075 NONHOLONOMIC MANIFOLDS//FINSLER SPACETIME//FINSLER GRAVITY
3 14508 NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//ALMOST BIEBERBACH GROUP
4 32171 CIRCLE ORDER//GEOMETRIC CONTAINMENT//SPHERE CONTAINMENT ORDER
5 16441 RICCI COLLINEATIONS//MATTER COLLINEATIONS//TELEPARALLEL KILLING VECTOR FIELDS
6 5691 QUASI EINSTEIN MANIFOLD//SASAKI METRIC//ALMOST KENMOTSU MANIFOLD
7 9891 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE
8 27880 BRACHISTOCHRONE//BRACHISTOCHRONIC MOTION//DISCHARGE CHUTES
9 7799 PENROSE INEQUALITY//EINSTEIN CONSTRAINT EQUATIONS//QUASI LOCAL MASS
10 16015 HARMONIC MORPHISMS//RIEMANNIAN FOLIATION//RIEMANNIAN SUBMERSION

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