Publicacions Matemàtiques

Entire Spacelike $H$-Graphs in Lorentzian Product Spaces

Henrique F. de Lima and Eraldo A. Lima

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Abstract

In this work we establish sufficient conditions to ensure that an entire spacelike graph immersed with constant mean curvature in a Lorentzian product space, whose Riemannian fiber has sectional curvature bounded from below, must be a trivial slice of the ambient space.

Article information

Source
Publ. Mat. Volume 60, Number 2 (2016), 273-287.

Dates
Received: 12 June 2014
Revised: 7 November 2014
First available in Project Euclid: 11 July 2016

Permanent link to this document
https://projecteuclid.org/euclid.pm/1468242036

Digital Object Identifier
doi:10.5565/PUBLMAT_60216_01

Mathematical Reviews number (MathSciNet)
MR3521492

Zentralblatt MATH identifier
1344.53044

Subjects
Primary: 53C42: Immersions (minimal, prescribed curvature, tight, etc.) [See also 49Q05, 49Q10, 53A10, 57R40, 57R42]
Secondary: 53B30: Lorentz metrics, indefinite metrics 53C50: Lorentz manifolds, manifolds with indefinite metrics

Keywords
Lorentzian product spaces spacelike hypersurfaces mean curvature entire spacelike $H$-graphs

Citation

de Lima, Henrique F.; Lima, Eraldo A. Entire Spacelike $H$-Graphs in Lorentzian Product Spaces. Publ. Mat. 60 (2016), no. 2, 273--287. doi:10.5565/PUBLMAT_60216_01. https://projecteuclid.org/euclid.pm/1468242036


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