<abstract xmlns="http://www.w3.org/1999/xhtml"> 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.</abstract>

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.

Spectral characterization and Schrödinger operator of space-like submanifolds

School of Mathematics and Information Science, Xianyang Normal University, Xianyang, 712000, Shaanxi,

College of Mathematics and Information Science, Weinan Normal University, Weinan, 714000, Shaanxi,

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Spectral characterization and Schrödinger operator of space-like submanifolds"}

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...

Spectral characterization and Schrödinger operator of space-like submanifolds

Publié en ligne: 22 avr. 2017

Pages: 241 - 257

Reçu: 01 nov. 2012

Accepté: 01 sept. 2014

DOI: https://doi.org/10.1515/auom-2015-0040

Mots clés
Space-like submanifold, Schrödinger operator, mean curvature, scalar curvature, first eigenvalue

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Spectral characterization and Schrödinger operator of space-like submanifolds

Publié en ligne: 22 avr. 2017

Pages: 241 - 257

Reçu: 01 nov. 2012

Accepté: 01 sept. 2014

DOI: https://doi.org/10.1515/auom-2015-0040

Mots clésSpace-like submanifold, Schrödinger operator, mean curvature, scalar curvature, first eigenvalue

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
Space-like submanifold, Schrödinger operator, mean curvature, scalar curvature, first eigenvalue