Isometric immersions into the Minkowski spacetime for Lorentzian manifolds with limited regularity
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 341-365 |
| Number of pages | 25 |
| Journal / Publication | Discrete and Continuous Dynamical Systems |
| Volume | 23 |
| Issue number | 1-2 |
| Publication status | Published - Jan 2009 |
| Externally published | Yes |
Link(s)
Abstract
Assuming minimal regularity assumptions on the data, we revisit the classical problem of finding isometric immersions into the Minkowski spacetime for hypersurfaces of a Lorentzian manifold. Our approach encompasses metrics having Sobolev regularity and Riemann curvature defined in the distributional sense, only. It applies to timelike, spacelike, or null hypersurfaces with arbitrary signature that possibly changes from point to point.
Research Area(s)
- General hypersurface, Isometric embedding, Lorentzian manifold, Minkowski spacetime
Citation Format(s)
Isometric immersions into the Minkowski spacetime for Lorentzian manifolds with limited regularity. / Lefloch, Philippe G.; Mardare, Cristinel; Mardare, Sorin.
In: Discrete and Continuous Dynamical Systems, Vol. 23, No. 1-2, 01.2009, p. 341-365.
In: Discrete and Continuous Dynamical Systems, Vol. 23, No. 1-2, 01.2009, p. 341-365.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
