ϕ-Parabolicity and the Uniqueness of Spacelike Hypersurfaces Immersed in a Spatially Weighted GRW Spacetime
In this paper, we extend a technique due to Romero et al. (Class Quantum Gravity 30:1–13, 2013 ; Int J Geom Methods Mod Phys 10:1360014, 2013 ; J Math Anal Appl 419:355–372, 2014 ) establishing sufficient conditions to guarantee the parabolicity of complete spacelike hypersurfaces immersed in a weig...
Gespeichert in:
Veröffentlicht in: | Mediterranean journal of mathematics 2018-06, Vol.15 (3), p.1-17 |
---|---|
Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | In this paper, we extend a technique due to Romero et al. (Class Quantum Gravity 30:1–13,
2013
; Int J Geom Methods Mod Phys 10:1360014,
2013
; J Math Anal Appl 419:355–372,
2014
) establishing sufficient conditions to guarantee the parabolicity of complete spacelike hypersurfaces immersed in a weighted generalized Robertson–Walker spacetime whose fiber has
ϕ
-parabolic universal Riemannian covering. As some applications of this criteria, we obtain uniqueness results concerning spacelike hypersurfaces immersed in spatially weighted generalized Robertson–Walker spacetimes. Furthermore, Calabi–Bernstein type results are also given. |
---|---|
ISSN: | 1660-5446 1660-5454 |
DOI: | 10.1007/s00009-018-1134-8 |