Abstract
The bundle of principal connections of a principal bundle is used to study some stability problems in the theory of b-completions. It follows that b-incompleteness is stable under perturbations of the connection. This adds weight to the belief that general relativistic singularities cannot be removed by quantization.
This is a preview of subscription content, log in via an institution to check access.
References
L.Mangiarotti and M.Modugno, Fibered spaces, jet spaces and connections for field theories, in Proceedings of the International Meeting on Geometry and Physics, Florence 12–15 October 1982, ed. M.Modugno, Pitagora Editrice, Bologna (1983) pp.135–165.
C.T.J.Dodson, Space-time edge geometry, Int.J.Theor.Phys. 17,b (1978) pp.389–504.
D.Canarutto and C.T.J.Dodson, On the bundle of principal connections and the stability of b-incompleteness, Preprint Ist.Mat.Appl.“G.Sansone”, Univ.Firenze (1984).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
Canarutto, D., Dodson, C.T.J. (1984). Manifold b-incompleteness stability via a structure of principal connections. In: Gravitation, Geometry and Relativistic Physics. Lecture Notes in Physics, vol 212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012584
Download citation
DOI: https://doi.org/10.1007/BFb0012584
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13881-5
Online ISBN: 978-3-540-39081-7
eBook Packages: Springer Book Archive