Hypersurfaces of metallic Riemannian manifolds as k-Almost Newton-Ricci solitons-Reference-Cited by-同舟云学术

Hypersurfaces of metallic Riemannian manifolds as k-Almost Newton-Ricci solitons

Published:2023 Issue:7 Volume:37 Page:2187-2197
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Choudhary Ali¹,Siddiqi Mohd²,Bahadır Oğuzhan³,Uddin Siraj⁴

Affiliation:

1. Department of Mathematics, School of Sciences, Maulana Azad National Urdu University, Hyderabad, India

2. Department of Mathematics, College of Science, Jazan University, Jazan, Kingdom of Saudi Arabia

3. Department of Mathematics, Faculty of Arts and Sciences, K.S.U Kahramanmaras, Turkey

4. Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia

Abstract

This research investigates k-Almost Newton-Ricci solitons (k-ANRS) embedded in a metallic Riemannian manifold Mn having the potential function ?. Furthermore, we prove geodesic and minimal conditions for hypersurfaces of metallic Riemannian manifolds. Beside this, we have explained some applications of metallic Riemannian manifold admitting k-Almost Newton-Ricci solitons.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference48 articles.

1. L.J. Alías, D. Impera, M. Rigoli, Hypersurfaces of constant higher order mean curvature in warped products. Trans. Amer. Math. Soc. 365(2), 591-621 (2013)

2. O. Bahadir, S. Uddin, Slant submanifolds of golden Riemannian manifolds. J. Math. Ext. 13(4), 1-10 (2019)

3. A.M. Blaga, C. Özgür, Almost η-Ricci and almost η-Yamabe solitons with torse-forming potential vector field, https://arxiv.org/pdf/2003.12574.pdf.

4. A. M. Blaga, C. E. Hretcanu, Invariant, anti-invariant and slant submanifolds of a metallic Riemannian manifold, Novi Sad J. Math. 48 (2018), 57-82.

5. A. M. Blaga, C. E. Hretcanu, Remarks on metallic warped product manifolds, Facta Universitatis, 33(2) (2018), 269-277.