An Inequality on Quaternionic CR-Submanifolds

Macsim, Gabriel; Mihai, Adela

doi:10.2478/auom-2018-0040

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An Inequality on Quaternionic CR-Submanifolds

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 26 (2018): Issue 3 (December 2018)

By: Gabriel Macsim and Adela Mihai

Open Access

|Dec 2018

Abstract

We establish an inequality for an intrinsic invariant of Chen-type defined on quaternionic CR-submanifolds in quaternionic space forms, in terms of the squared mean curvature, the main extrinsic invariant, by using the method of constrained extrema.

References

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DOI: https://doi.org/10.2478/auom-2018-0040 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 181 - 196

Submitted on: Nov 7, 2017

Accepted on: Dec 15, 2017

Published on: Dec 31, 2018

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

quaternionic CR-submanifolds,

quaternionic space forms,

-invariants

Related subjects:

Mathematics,

General mathematics

© 2018 Gabriel Macsim, Adela Mihai, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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