Chen’s inequalities for submanifolds in (κ, μ)-contact space form with a semi-symmetric metric connection-Reference-Cited by-同舟云学术

Chen’s inequalities for submanifolds in (κ, μ)-contact space form with a semi-symmetric metric connection

Published:2018-01-01 Issue:1 Volume:16 Page:380-391
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Ahmad Asif¹,Guoqing He²,Wanxiao Tang¹,Peibiao Zhao¹

Affiliation:

1. School of Science , Nanjing University of Science and Technology , Nanjing , 210094 , China

2. School of Mathematics and Computer Science , Anhui Normal University , Wuhu , 241000 China

Abstract

Abstract In this paper, we obtain Chen’s inequalities for submanifolds in (κ, μ)-contact space form endowed with a semi-symmetric metric connection.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2018-0034/pdf

Reference20 articles.

1. Chen B.-Y., Some pinching and classfication theorems for minimal submanifolds, Arch. Math., 1993, 60, 568-578.

2. Chen B.-Y., Relations between Ricci curvature and sharp operator for submanifolds with arbitrary codimensions, Glasg. Math. J., 1999, 41, 33-41.

3. Oiagǎ A., Mihai I., Chen B.-Y., Inequalities for slant submanifolds in complex space forms, Demonstr. Math., 1999, 32, 835-846.

4. Arslan K., Ezentas R., Mihai I., Özgür C., Certain inequalities for submanifolds in (κ, μcontact space forms, Bulletin of the Australian Mathematical Society, 2001, 64(2), 201-212.

5. Tripathi M.M., Certain basic inequalities for submanifolds in (κ, μcontact space forms, In: Recent advances in Riemannian and Lorentzian geomtries (Baltimore, MD, 2003), Contemp. Math., vol. 337, 187-202, Amer. Math. Soc., Province, RI(2003).

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