An Inequality on Quaternionic CR-Submanifolds-Reference-Cited by-同舟云学术

An Inequality on Quaternionic CR-Submanifolds

Published:2018-12-01 Issue:3 Volume:26 Page:181-196
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Macsim Gabriel¹,Mihai Adela²

Affiliation:

1. Doctoral School of Mathematics, Faculty of Mathematics and Computer Science , University of Bucharest , Academiei Str. 14, 010014 Bucharest , Romania

2. Department of Mathematics and Computer Science , Technical University of Civil Engineering Bucharest , Lacul Tei Bvd. 122-124, 020396 Bucharest , Romania

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2018-0040

Reference8 articles.

1. [1] Al-Solamy, F., Chen, B.Y. and Deshmukh, S., Two optimal inequalities for anti-holomorphic submanifolds and their applications, Taiwanese J. Math. 18(1) (2014), 199-217.

2. [2] Barros, M., Chen, B.-Y. and Urbano, F., Quaternion CR-submanifolds of quaternion manifolds, Kodai Math. J. 4(3) (1981), 399-417.

3. [3] Bejancu, A., Geometry of CR-Submanifolds, D. Reidel Publishing Company, Dordrecht, Holland, 1986.

4. [4] Chen, B.-Y., CR-submanifolds of a Kaehler manifold, J. Differential Geom. 16 (1981), 305-323.

5. [5] Chen, B.-Y., An optimal inequality for CR-warped products in complex space forms involving CR-invariant, Internat. J. Math. 23(3) (2012), 1250045 (17 pages).

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