Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms

Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms

In the present, we first obtain Chen-Ricci inequality for C-totally real warped product submanifolds in cosymplectic space forms. Then, we focus on characterizing spheres and Euclidean spaces, by using the Bochner formula and a second-order ordinary differential equation with geometric inequalities....

Full description

Saved in:
Bibliographic Details
Main Authors: Ali, Akram, Mofarreh, Fatemah, Mior Othman, Wan Ainun, Patra, Dhriti Sundar
Format: Article
Published: Springer Science and Business Media Deutschland GmbH 2020
Subjects:
Q Science (General)
QA Mathematics
Online Access:http://eprints.um.edu.my/36260/
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Universiti Malaya
id my.um.eprints.36260
record_format eprints
spelling my.um.eprints.362602024-10-28T04:29:27Z http://eprints.um.edu.my/36260/ Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms Ali, Akram Mofarreh, Fatemah Mior Othman, Wan Ainun Patra, Dhriti Sundar Q Science (General) QA Mathematics In the present, we first obtain Chen-Ricci inequality for C-totally real warped product submanifolds in cosymplectic space forms. Then, we focus on characterizing spheres and Euclidean spaces, by using the Bochner formula and a second-order ordinary differential equation with geometric inequalities. We derive the characterization for the base of the warped product via the first eigenvalue of the warping function. Also, it proves that there is an isometry between the base N-1 and the Euclidean sphere S-m1 under some different extrinsic conditions. Springer Science and Business Media Deutschland GmbH 2020-11 Article PeerReviewed Ali, Akram and Mofarreh, Fatemah and Mior Othman, Wan Ainun and Patra, Dhriti Sundar (2020) Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms. Journal of Inequalities and Applications, 2020 (1). ISSN 10255834, DOI https://doi.org/10.1186/s13660-020-02510-w <https://doi.org/10.1186/s13660-020-02510-w>. 10.1186/s13660-020-02510-w
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic Q Science (General)
QA Mathematics
spellingShingle Q Science (General)
QA Mathematics
Ali, Akram
Mofarreh, Fatemah
Mior Othman, Wan Ainun
Patra, Dhriti Sundar
Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms
description In the present, we first obtain Chen-Ricci inequality for C-totally real warped product submanifolds in cosymplectic space forms. Then, we focus on characterizing spheres and Euclidean spaces, by using the Bochner formula and a second-order ordinary differential equation with geometric inequalities. We derive the characterization for the base of the warped product via the first eigenvalue of the warping function. Also, it proves that there is an isometry between the base N-1 and the Euclidean sphere S-m1 under some different extrinsic conditions.
format Article
author Ali, Akram
Mofarreh, Fatemah
Mior Othman, Wan Ainun
Patra, Dhriti Sundar
author_facet Ali, Akram
Mofarreh, Fatemah
Mior Othman, Wan Ainun
Patra, Dhriti Sundar
author_sort Ali, Akram
title Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms
title_short Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms
title_full Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms
title_fullStr Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms
title_full_unstemmed Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms
title_sort applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms
publisher Springer Science and Business Media Deutschland GmbH
publishDate 2020
url http://eprints.um.edu.my/36260/
_version_ 1814933195681955840

Similar Items