Generalized wintgen inequality for submanifolds in standard warped product manifolds-Reference-Cited by-同舟云学术

Generalized wintgen inequality for submanifolds in standard warped product manifolds

Published:2022 Issue:19 Volume:36 Page:6669-6678
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Siddiqui Aliya¹,Ahmad Kamran¹,Alkhaldi Ali²,Alqahtani Lamia³

Affiliation:

1. Division of Mathematics, School of Basic & Applied Sciences, Galgotias University, Greater Noida, Uttar Pradesh, India

2. Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia

3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

Abstract

Roth (Bull. Aust. Math. Soc. 95, 495-499 (2017)) gave a result for DDVV inequality submanifolds of warped product manifolds. Then Murathan et al. (J. Geom. (2018) 109:30) obtained the Wintgen-like inequality for statistical submanifolds of statistical warped product manifolds. Recently, Gorunus et al. (Inter. Elec. J. Geom. 12(1), 43-56 (2019)) established the generalized Wintgen inequality for Legendrian submanifolds in almost Kenmotsu statistical manifolds. Thus, in the present manuscript, we find the generalized Wintgen inequality for a Legendrian submanifold in the standard warped product manifolds (?-Kenmotsu manifold).

Publisher

National Library of Serbia

Subject

General Mathematics

Reference22 articles.

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4. B.-Y. Chen, Recent Developments in Wintgen Inequality and Wintgen Ideal Submanifolds, Inter. Elec. J. Geom., 14 (1), 6-45 (2021).

5. B.-Y. Chen, Differential geometry of warped product manifolds and submanifolds, Worlds Scientific, Hackensack, New Jersey (2017).

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