Spectral characterization and Schrödinger operator of space-like submanifolds
und | 22. Apr. 2017
Über diesen Artikel
Online veröffentlicht: 22. Apr. 2017
Seitenbereich: 241 - 257
Eingereicht: 01. Nov. 2012
Akzeptiert: 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.