Complutense University Library

On the conformal geometry of transverse Riemann-Lorentz manifolds

Aguirre Dabán , Eduardo and Fernandez, V. and Lafuente, J. (2007) On the conformal geometry of transverse Riemann-Lorentz manifolds. Journal of geometry and physics, 57 (7). pp. 1541-1547. ISSN 0393-0440

[img] PDF
Restricted to Repository staff only until 2020.

235kB

Official URL: http://www.sciencedirect.com/science/article/pii/S0393044007000046

View download statistics for this eprint

==>>> Export to other formats

Abstract

Physical reasons suggested in [J.B. Hartle, S.W. Hawking, Wave function of the universe, Phys. Rev. D41 (1990) 1815-1834] for the Quantum Gravity Problem lead us to study type-changing metrics on a manifold. The most interesting cases are Transverse Rieniann-Lorentz Manifolds. Here we study the conformal geometry of such manifolds.


Item Type:Article
Uncontrolled Keywords:Singularities; Extendability; Metrics
Subjects:Sciences > Physics > Mathematical physics
Sciences > Mathematics > Numerical analysis
ID Code:14641
References:

E. Aguirre, J. Lafuente, Trasverse Riemann–Lorentz metrics with tangent radical, Differential Geom. Appl. 24 (2) (2005) 91–100.

J.B. Hartle, S.W. Hawking, Wave function of the universe, Phys. Rev. D41 (1990) 1815–1834.

U. Hertrich-Jeromin, Introduction to M¨obius Differential Geometry, Cambridge Univ. Press, 2003.

M. Kossowski, Fold singularities in pseudoriemannian geodesic tubes, Proc. Amer. Math. Soc. 95 (1985) 463–469.

M. Kossowski, Pseudo-riemannian metric singularities and the extendability of parallel transport, Proc. Amer. Math. Soc. 99 (1987) 147–154.

M. Kossowski, M. Kriele, Transverse, type changing, pseudo riemannian metrics and the extendability of geodesics, Proc. R. Soc. Lond. Ser.

A 444 (1994) 297–306.

M. Kossowski, M. Kriele, The volume blow-up and characteristic classes for transverse, type changing, pseudo-riemannian metrics, Geom.

Dedicata 64 (1997) 1–16.

B. O‘Neill, Semi-Riemannian Geometry, Academic Press, 1983.

Deposited On:17 Apr 2012 10:25
Last Modified:06 Feb 2014 10:05

Repository Staff Only: item control page