Spectral characterization and Schrödinger operator of space-like submanifolds

Shichang Shu; Tianmin Zhu

doi:10.1515/auom-2015-0040

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Spectral characterization and Schrödinger operator of space-like submanifolds

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 23 (2015): Issue 2 (June 2015)

By: Shichang Shu and Tianmin Zhu

Open Access

|Apr 2017

Abstract

In this paper, we would like to study space-like submanifolds in a de Sitter spaces S_p^n+p(1). We define and discuss three Schrödinger operators L_H, L_R, L_R/H and obtain some spectral characterizations of totally umbilical space-like submanifolds in terms of the first eigenvalue of the Schrödinger operators L_H, L_R and L_R/H respectively.

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Articles in this issue

DOI: https://doi.org/10.1515/auom-2015-0040 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 241 - 257

Submitted on: Nov 1, 2012

Accepted on: Sep 1, 2014

Published on: Apr 22, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Space-like submanifold,

Schrödinger operator,

Related subjects:

© 2017 Shichang Shu, Tianmin Zhu, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 23 (2015): Issue 2 (June 2015)