h-almost Ricci Solitons on Generalized Sasakian-space-forms

Doddabhadrappla Gowda Prakasha; Amruthalakshmi Malleshrao Ravindranatha; Sudhakar Kumar Chaubey; Pundikala Veeresha; Young Jin Suh

doi:10.5666/KMJ.2022.62.4.715

Article

Kyungpook Mathematical Journal 2022; 62(4): 715-728

Published online December 31, 2022

h-almost Ricci Solitons on Generalized Sasakian-space-forms

Doddabhadrappla Gowda Prakasha and Amruthalakshmi Malleshrao Ravindranatha, Sudhakar Kumar Chaubey, Pundikala Veeresha, Young Jin Suh^*

Department of Mathematics, Davangere University, Shivagangothri Campus, Davangere - 577 007, India
e-mail : prakashadg@gmail.com and amruthamirajkar@gmail.com

Section of Mathematics, Department of Information Technology, University of Technology and Applied Sciences, Shinas, P. O. Box 77, Postal Code 324, Oman
e-mail : sk22_math@yahoo.co.in and sudhakar.chaubey@shct.edu.om

Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru - 560 029, India
e-mail : viru0913@gmail.com and pundikala.veeresha@christuniversity.in

Department of Mathematics and RIRCM, Kyungpook National University, Daegu 41566, Korea
e-mail : yjsuh@knu.ac.kr

Received: August 30, 2022; Revised: September 30, 2022; Accepted: October 7, 2022

Abstract

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Abstract

The aim of this article is to study the h-almost Ricci solitons and h-almost gradient Ricci solitons on generalized Sasakian-space-forms. First, we consider h-almost Ricci soliton with the potential vector field V as a contact vector field on generalized Sasakian-space-form of dimension greater than three. Next, we study h-almost gradient Ricci solitons on a three-dimensional quasi-Sasakian generalized Sasakian-space-form. In both the cases, several interesting results are obtained.

Keywords: Generalized Sasakian-space-form, h-almost Ricci soliton, h-almost gradient Ricci soliton, Three-dimensional quasi-Sasakian manifold, Scalar curvature