Spectral characterization and Schrödinger operator of space-like submanifolds
oraz | 22 kwi 2017
O artykule
Data publikacji: 22 kwi 2017
Zakres stron: 241 - 257
Otrzymano: 01 lis 2012
Przyjęty: 01 wrz 2014
DOI: https://doi.org/10.1515/auom-2015-0040
Słowa kluczowe
© 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.