<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

Published Online: Dec 31, 2018

Page range: 181 - 196

Received: Nov 07, 2017

Accepted: Dec 15, 2017

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

Keywords
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

Published Online: Dec 31, 2018

Page range: 181 - 196

Received: Nov 07, 2017

Accepted: Dec 15, 2017

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

Keywordsquaternionic 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.

Keywords
quaternionic CR-submanifolds, quaternionic space forms, -invariants