Differential systems, moving frames, structure-preserving submersions and geometrical problems in physics

[1]  S. Chern,et al.  Exterior Differential Systems , 1990 .

[2]  D. Giulini.  Algebraic and Geometric Structures in Special Relativity , 2006, math-ph/0602018.

[3]  F. Estabrook,et al.  Dyadic analysis of space-time congruences , 1964 .

[4]  J. Maldacena.  The Large-N Limit of Superconformal Field Theories and Supergravity , 1997, hep-th/9711200.

[5]  Born-Rigid Flow and the AdS-CFT Correspondence , 2010, 1010.3847.

[6]  J. Maldacena.  The Large N limit of superconformal field theories and supergravity , 1998 .

[7]  E. Cartan.  Sur les équations de la gravitation d'Einstein , 1922 .

[8]  598 HERMANN WEYL [ September CARTAN ON GROUPS AND DIFFERENTIAL GEOMETRY La Théorie des Groupes Finis et Continus et la Géométrie Différentielle traitées par la Méthode du Repère Mobile , 2022 .

[9]  P. Olver,et al.  Moving Coframes: I. A Practical Algorithm , 1998 .

[10]  E. Witten.  Anti-de Sitter space and holography , 1998, hep-th/9802150.

[11]  É. Cartan,et al.  On manifolds with an affine connection and the theory of general relativity , 1986 .

[12]  B. O'neill,et al.  The fundamental equations of a submersion. , 1966 .

[13]  M. Duff,et al.  On the Consistency of the {Kaluza-Klein} Ansatz , 1984 .

[14]  E. Cartan.  Les problèmes d'équivalence , 1937 .

[15]  L. O'raifeartaigh,et al.  Gauge theory: Historical origins and some modern developments , 2000 .

[16]  E. Cartan,et al.  Sur la structure des groupes infinis de transformation , 1904 .

[17]  A. Papapetrou.  Lectures on General Relativity , 1974 .

[18]  E. Cartan,et al.  Les systèmes différentiels extérieurs et leurs applications géométriques , 1945 .

[19]  A. Trautman,et al.  Conformal geometry of flows in n dimensions , 1983 .

[20]  E. Cartan,et al.  La théorie des groupes finis et continus et la Géométrie différentielle traitées par la méthode du repère mobile : leçons professées à la Sorbonne , 1937 .

[21]  Ziyang Hu.  Degree of arbitrariness directly from moving frames , 2011, 1112.2325.

[22]  G. W. Gibbons,et al.  General very special relativity is Finsler geometry , 2007, 0707.2174.

[23]  Ziyang Hu.  A framework for structure-preserving submersions and some theorems in relativistic flows , 2011, 1112.6155.

[24]  G. Gibbons.  CONSISTENT REDUCTIONS OF HIGHER DIMENSIONAL GRAVITY AND SUPERGRAVITY THEORIES , 2006 .

[25]  S. Lahiri,et al.  Large rotating AdS black holes from fluid mechanics , 2007, 0708.1770.

[26]  Schwarzschild Spacetime without Coordinates , 2007, gr-qc/0701115.

[27]  H. Goenner.  On the History of Unified Field Theories , 2004, Living reviews in relativity.

[28]  P. Olver,et al.  Moving Coframes: II. Regularization and Theoretical Foundations , 1999 .

[29]  C. Sopuerta,et al.  Theorems on Shear-Free Perfect Fluids with Their Newtonian Analogues , 1997, gr-qc/9702035.

[30]  Ericka Stricklin-Parker,et al.  Ann , 2005 .

[31]  C. Stivers.  Class , 2010 .

[32]  E. Cartan,et al.  L'intégration des systèmes d'équations aux différentielles totales , 1901 .

[33]  Black Holes Without Coordinates , 2009, 0904.0733.

[34]  F. Estabrook,et al.  Rigid Motions in Einstein Spaces , 1966 .