Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
@article{BUMI_2010_9_3_1_a1, author = {Hill, C. Denson and Nurowski, Pawe{\l}}, title = {Differential {Equations} and {Para-CR} {Structures}}, journal = {Bollettino della Unione matematica italiana}, pages = {25--91}, publisher = {mathdoc}, volume = {Ser. 9, 3}, number = {1}, year = {2010}, zbl = {1206.58001}, mrnumber = {2605912}, language = {en}, url = {http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_1_a1/} }
Hill, C. Denson; Nurowski, Paweł. Differential Equations and Para-CR Structures. Bollettino della Unione matematica italiana, Série 9, Tome 3 (2010) no. 1, pp. 25-91. http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_1_a1/
[1] Maximally homogeneous para-CR manifolds of semisimple type, to appear in Handbook of Pseudo-Riemannian geometry and Supersymmetry (2008), arXiv:0808.0431 | DOI | MR
- - ,[2] Les systemes de Pfaff a cinq variables et les equations aux derivees partielles du seconde ordre, Ann. Sc. Norm. Sup., 27 (1910), 109-192. | fulltext EuDML | MR | Zbl
,[3] Varietés à connexion projective, Bull. Soc. Math., LII (1924), 205-241. | fulltext EuDML | MR | Zbl
,[4] The geometry of the differential equations $y^{\prime\prime\prime} = F(x,y,y^{\prime}y^{\prime\prime})$, Sci. Rep. Nat. Tsing Hua Univ., 4 (1940), 97-111. | MR
,[5] Conformal invariants, in Elie Cartan et mathematiques d'aujourd'hui, Asterisque, hors serie (Societe Mathematique de France, Paris) (1985), 95-116. | MR
- ,[6] GR via characteristic surfaces, J. Math. Phys., 36 (1995), 4984-. | DOI | MR | Zbl
- - ,[7] Conformal Lorentzian metrics on the spaces of curves and 2-surfaces, Class. Q. Grav., 20 (2003), 3649-3659. | DOI | MR | Zbl
- - ,[8] Geometry of Third-Order Ordinary Differential Equations and Its Applications in General Relativity, PhD Thesis, Warsaw University (2008), arXiv: 0810.2234.
,[9] Geometry of third-order ODEs (2009), arXiv: 0902.4129. | DOI | MR
- ,[10] Obstructions to conformally Einstein metrics in n dimensions, Journ. Geom. Phys., 56 (2006), 450-484. | DOI | MR | Zbl
- ,[11] Klassifikation und Integration von gewohnlichen Differentialgleichungen zwischen x, y, die eine Gruppe von Transformationen gestatten III, in Gesammelte Abhandlungen, Vol. 5 (Teubner, Leipzig, 1924). | Zbl
,[12] Ambient metrics for n-dimensional pp-waves (2008), arXiv:0810.2903. | DOI | MR | Zbl
- ,[13] Reduced holonomy group and Einstein equations with a cosmological constant, Class. Q. Grav., 9 (1992), L147-L151. | MR | Zbl
,[14] Differential equations and conformal structures, Journ. Geom. Phys., 55 (2005), 19-49. | DOI | MR | Zbl
,[15] Intrinsic geometry of a null hypersurface, Class. Q. Grav., 17 (2000), 4065-4084. | DOI | MR | Zbl
- ,[16] Three dimensional Cauchy-Riemann structures and second order ordinary differential equations, Class. Q. Grav., 20 (2003), 4995-5016. | DOI | MR | Zbl
- ,[17] Equivalence Invariants and Symmetry, Cambridge University Press (Cambridge, 1996). | DOI | MR | Zbl
,[18] The Cartan-Weyl conformal geometry of a pair of second-order partial-differential equations, PhD Thesis, Department of Physics & Astronomy (University of Pittsburgh, 2006).
,[19] On affine symmetric spaces and the automorphism groups of product manifolds, Hokkaido Math. J., 14 (1985), 277-351. | DOI | MR | Zbl
,[20] Determinations des invariants ponctuels de l'equation differentielle ordinaire du second ordre $y^{\prime\prime} = \omega(x,y,y^{\prime})$, Hirzel (Leipzig, 1896). | Zbl
,[21] Über Beruhrungsbedingungen bei Differentialgleichungen, Dissertation (Greifswald, 1905).
,