About this Mathematics article
The fibre bundle of degenerate tangent planes of a Lorentzian manifold and the smoothness of the null sectional curvature by Francisco J. Palomo is a Mathematics article available to read on EtoBox.
The Grassmann bundle of degenerate tangent planes to a Lorentzian manifold is introduced and several of its properties are deduced. After a suitable normalization, the null sectional curvature associated to a Lorentzian metric may be considered as a well-defined function on the Grassmann bundle of degenerate tangent planes. The smoothness of this function is proved and some consequences are obtained.
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Francisco J. Palomo
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0926-2245)
- Published
- 2007
- Language
- EN
- Field
- Mathematics (Physical Sciences)