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Recent Advances in Pure and Applied Mathematics pp 161–174Cite as

Spacelike Hypersurfaces in Conformally Stationary Spacetimes

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Abstract

In this paper we obtain new characterizations of totally geodesic hypersurfaces in conformally stationary spacetimes, under the assumption that the future second fundamental form is positive semidefinite. In the compact case, our results will be a consequence of certain integral formulas, while in the complete noncompact case they will be an application of a new maximum principle at infinity for vector fields.

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References

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Acknowledgements

This research is a result of the activity developed within the framework of the Programme in Support of Excellence Groups of the Región de Murcia, Spain, by Fundación Séneca, Science and Technology Agency of the Región de Murcia. Luis J. Alías was partially supported by MINECO/FEDER project MTM2015-65430-P, MICINN/FEDER project PGC2018-097046-B-I00, and Fundación Séneca project 19901/GERM/15, Spain.

This research was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES)—Finance Code 001.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Murcia, Murcia, Spain

    Luis J. Alías

  2. Departamento de Matemática, Universidade Federal do Ceará, Fortaleza, CE, Brazil

    Antonio Caminha & F. Yure S. do Nascimento

Authors
  1. Luis J. Alías
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  2. Antonio Caminha
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  3. F. Yure S. do Nascimento
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Corresponding author

Correspondence to Antonio Caminha .

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Editors and Affiliations

  1. Department of Mathematics, Faculty of Marine and Environmental Sciences, Universidad de Cádiz, Puerto Real, Spain

    Francisco Ortegón Gallego

  2. Department of Mathematics, Faculty of Sciences, Universidad de Cádiz, Puerto Real, Spain

    Juan Ignacio García García

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Alías, L.J., Caminha, A., Nascimento, F.Y.S.d. (2020). Spacelike Hypersurfaces in Conformally Stationary Spacetimes. In: Ortegón Gallego, F., García García, J. (eds) Recent Advances in Pure and Applied Mathematics. RSME Springer Series, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-030-41321-7_13

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