On the geometry of semi-slant submanifolds of a conformal Kenmotsu manifold-Reference-Cited by-同舟云学术

On the geometry of semi-slant submanifolds of a conformal Kenmotsu manifold

Published:2024-06-26 Issue: Volume: Page:
ISSN:1425-6908
Container-title:Journal of Applied Analysis
language:en
Short-container-title:

Author:

Siddesha M. S.¹,Bagewadi C. S.²,Ramesha M.¹

Affiliation:

1. Department of Data Analytics and Mathematical Science , 250161 FET-Jain (Deemed-to-be-University), Global Campus-562112 , Bangalore , Karnataka , India

2. Department of Mathematics , 29250 Kuvempu University , Shankaraghatta , Shimoga-577451, Karnataka , India

Abstract

Abstract The object of this paper is to conduct an in-depth examination of semi-slant submanifolds within the framework of a conformal Kenmotsu manifolds. Our investigation is centered around identifying and understanding the conditions that ensure the integrability of both invariant and slant distributions, which play a pivotal role in defining semi-slant submanifolds. Additionally, we prove some interesting results for semi-slant submanifolds with parallel canonical structures.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/jaa-2023-0150/pdf

Reference25 articles.

1. R. Abdi and E. Abedi, Invariant and anti-invariant submanifolds of a conformal Kenmotsu manifold, Azerb. J. Math. 5 (2015), no. 1, 54–63.

2. R. Abdi and E. Abedi, CR-hypersurfaces of a conformal Kenmotsu manifold satisfying certain shape operator conditions, Period. Math. Hungar. 73 (2016), no. 1, 83–92.

3. R. Abdi and E. Abedi, On the Ricci tensor of submanifolds in conformal Kenmotsu manifolds, Kyushu J. Math. 71 (2017), no. 2, 257–269.

4. E. Abedi and R. Bahrami Ziabari, Slant submanifolds of a conformal Sasakian manifold, Acta Univ. Apulensis Math. Inform. (2014), no. 40, 35–49.

5. M. Atçeken, Semi-slant submanifolds of an almost paracontact metric manifold, Canad. Math. Bull. 53 (2010), no. 2, 206–217.