Cartan normal conformal connections from pairs of second-order PDEs

Classical and Quantum Gravity

Volumn 21, Issue 17, 2004, Pages 4063-4086

  Gallo, Emanuel ^a   Kozameh, Carlos ^a   Newman, Ezra T ^b   Perkins, Kiplin ^b  

^a UNIVERSIDAD NACIONAL DE CÓRDOBA   (Argentina)

^b UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4644272172     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/21/17/004     Document Type: Article

References (18)

1. Tresse M A 1896 Determination des Invariantes Ponctuels de l'Equation Differentielle du Second Ordre y″ = ω(x, y, y″) (Leipzig: Hirzel)
2. Tresse M A 1894 Sur les invariants differentiels des groupes continus de transformations Acta Math. 18 1
3. Lie S 1924 Klassifikation und Integration von gewöhnlichen Differentialgleichungen zwischen x, y, die eine Gruppe von Transformationen gestatten III Gesammelte Abhandlungen vol 5 (Leipzig: Teubner)
4. Cartan E 1924 Sur les varietes a connection projective Bull. Soc. Math. France 52 205
5. Cartan E 1938 Les espaces generalises e l'integration de certaines classes d'equations differentielles C. R. Acad. Sci. 206 1425
6. Cartan E 1941 La geometria de las ecuaciones diferenciales de tercer orden Rev. Mat. Hispano-Amer 4 1
7. Cartan E 1943 Sur une classe d'espaces de Weyl Ann. Sc. Ec. Norm. Sup. 3e 60 1
8. Chern S-S 1978 The geometry of the differential equation y‴ = f(x, y, y″, y‴) Selected Papers (Berlin: Springer) (original publication 1940)
9. Wünschmann K 1905 Über Berührungsbedingungen bei Integralkurven von Differentialgleichungen Inaug. Dissert (Leipzig: Teubner)
10. Kozameh C N and Newman E T 1983 Theory of light cone cuts of null infinity J. Math. Phys. 24 2481
11. Frittelli S, Kamran N and Newman E T 2002 Differential equations and conformal geometry J. Geom. Phys. 43 133
12. Frittelli S, Kozameh C, Newman E T and Nurowski P 2002 Cartan normal conformal connections from differential equations Class. Quantum Grav. 19 5235
13. Frittelli S, Kozameh C and Newman E T 1997 Dynamics of light-cone cuts of null infinity Phys. Rev. D 56 4729
14. Frittelli S, Kozameh C N and Newman E T 1995 GR via characteristic surfaces J. Math. Phys. 36 4984
15. Frittelli S, Kozameh C and Newman E T 2001 Differential geometry from differential equations Commun. Math. Phys. 223 383
16. Kobayashi S 1970 Transformation Groups in Differential Geometry (Berlin: Springer)
17. Korzynski M and Lewandowski J 2003 The normal conformal Cartan connection and the Bach tensor Class. Quantum Grav. 20 3745-64
18. Kozameh C, Newman E T and Nurowski P 2003 Conformal Einstein equations and Cartan conformal connection Class. Quantum Grav. 20 3029-35