Publication: On the structure of the moduli of jets of G-structures with a linear connection
Loading...
Full text at PDC
Publication Date
2003
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science
Citations
Exportar
Abstract
The moduli space of jets of G-structures admitting a canonical linear connection is shown to be isomorphic to
the quotient by G of a natural G-module.
Description
UCM subjects
Unesco subjects
Keywords
Citation
V.I. Arnold, Mathematical Problems in Classical Physics, in: Trends and Perspectives in Applied Mathematics, Applied Mathematics Sciences, Vol. 100, Springer-Verlag, New York, 1994.
D. Bernard, Sur la géometrie différentielle des G-structures, Ann. Inst. Fourier, Grenoble 10 (1960) 151–270.
D.B.A. Epstein, Natural tensors on Riemannian manifolds, J. Differential Geom. 10 (1975) 631–645.
A. Fujimoto, Theory of G-structures, Vol. 1, 1972, English edition translated from the original Japanese, Publications of the Study Group of Geometry.
S. Kobayashi, Transformation Groups in Differential Geometry, Springer-Verlag, Berlin, 1972.
S. Kobayashi, K. Nomizu, Foundations of Differential Geometry, Vol. I, Wiley, New York, 1963.
J. Muñoz Masqué, A. Valdés, The number of functionally independent invariants of a pseudo-Riemannian metric, J. Phys. A: Math. Gen. 27 (1994) 7843–7855.
R.S. Palais, Seminar on the Atiyah–Singer Index Theorem, in: Ann. Math. Studies, Vol. 57, Princeton University Press, Princeton, NJ, 1965.
T.Y. Thomas, The Differential Invariants of Generalized Spaces, Cambridge University Press, London, 1934.
A. Valdés, Differential invariants of R∗-structures, Math. Proc. Cambridge Philos. Soc. 119 (1996) 341–356.
A.M. Verbovetskii, A.M. Vinogradov, D.M. Gessler, Scalar differential invariants and characteristic classes of homogeneous geometric structures, Math. Notes 51 (1996) 543–549.
A.M. Vinogradov, Scalar differential invariants, diffieties and characteristic classes, in: M. Francaviglia (Ed.), Mechanics, Analysis and Geometry: 200 Years After Lagrange, Elsevier, Amsterdam, 1991, pp. 379–414.