Spectral characterization and Schrödinger operator of space-like submanifolds
y | 22 abr 2017
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Publicado en línea: 22 abr 2017
Páginas: 241 - 257
Recibido: 01 nov 2012
Aceptado: 01 sept 2014
DOI: https://doi.org/10.1515/auom-2015-0040
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© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
In this paper, we would like to study space-like submanifolds in a de Sitter spaces Spn+p(1). We define and discuss three Schrödinger operators LH, LR, LR/H and obtain some spectral characterizations of totally umbilical space-like submanifolds in terms of the first eigenvalue of the Schrödinger operators LH, LR and LR/H respectively.