Biblioteca de la Universidad Complutense de Madrid

On the conformal geometry of transverse Riemann-Lorentz manifolds

Impacto

Aguirre Dabán, Eduardo y Fernandez, V. y 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

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



Resumen

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.


Tipo de documento:Artículo
Palabras clave:Singularities; Extendability; Metrics
Materias:Ciencias > Física > Física matemática
Ciencias > Matemáticas > Análisis numérico
Código ID:14641
Referencias:

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.

Depositado:17 Abr 2012 10:25
Última Modificación:25 Abr 2016 14:36

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