Data di Pubblicazione:
2020
Citazione:
A Note on Spacelike Hypersurfaces and Timelike Conformal Vectors / G. Colombo, J.A.S. Pelegrín, M. Rigoli (RSME SPRINGER SERIES). - In: Recent Advances in Pure and Applied Mathematics / [a cura di] F. Ortegón Gallego, J.I. García García. - [s.l] : Springer, 2020. - ISBN 9783030413200. - pp. 135-147 [10.1007/978-3-030-41321-7_11]
Abstract:
Any compact spacelike hypersurface immersed in a doubly warped product spacetime I x P with nondecreasing warping factor ρ must be a spacelike slice, provided that the mean curvature satisfies H ≥ ρ′∕hρ everywhere on the hypersurface. The conclusion also holds, under suitable assumptions on the immersion, when the hypersurface is complete and noncompact. A similar rigidity property is shown for compact hypersurfaces in spacetimes carrying a conformal, strictly expanding, timelike vector field.
Tipologia IRIS:
03 - Contributo in volume
Elenco autori:
G. Colombo, J.A.S. Pelegrín, M. Rigoli
Link alla scheda completa:
Titolo del libro:
Recent Advances in Pure and Applied Mathematics