<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We establish an inequality for an intrinsic invariant of Chen-type defined on quaternionic <italic>CR</italic>-submanifolds in quaternionic space forms, in terms of the squared mean curvature, the main extrinsic invariant, by using the method of constrained extrema.</p></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.

An Inequality on Quaternionic CR-Submanifolds

Doctoral School of Mathematics, Faculty of Mathematics and Computer Science

Department of Mathematics and Computer Science

Technical University of Civil Engineering Bucharest

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"An Inequality on Quaternionic CR-Submanifolds"}

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...

An Inequality on Quaternionic CR-Submanifolds

Pubblicato online: 31 dic 2018

Pagine: 181 - 196

Ricevuto: 07 nov 2017

Accettato: 15 dic 2017

DOI: https://doi.org/10.2478/auom-2018-0040

Parole chiave
quaternionic CR-submanifolds, quaternionic space forms, -invariants

© 2018 Gabriel Macsim et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

An Inequality on Quaternionic CR-Submanifolds

Pubblicato online: 31 dic 2018

Pagine: 181 - 196

Ricevuto: 07 nov 2017

Accettato: 15 dic 2017

DOI: https://doi.org/10.2478/auom-2018-0040

Parole chiavequaternionic CR-submanifolds, quaternionic space forms, -invariants

© 2018 Gabriel Macsim et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Parole chiave
quaternionic CR-submanifolds, quaternionic space forms, -invariants