Introduction to gradient h-almost η-Ricci soliton warped product

In this paper, we introduce the new concept of gradient h-almost η-Ricci soliton. We discuss here a steady or  expanding gradient h-almost η-Ricci soliton warped product Bn ×f Fm, m 1. We show that the warping function f of this warped product attains minimum as well as maximum and it will definitel...

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Bibliographic Details
Published inBoletim da Sociedade Paranaense de Matemática Vol. 42; pp. 1 - 11
Main Authors Bhunia, Nandan, Pahan, Sampa, Bhattacharyya, Arindam, Datta, Sanjib Kimar
Format Journal Article
LanguageEnglish
Published Sociedade Brasileira de Matemática 08.05.2024
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Summary:In this paper, we introduce the new concept of gradient h-almost η-Ricci soliton. We discuss here a steady or  expanding gradient h-almost η-Ricci soliton warped product Bn ×f Fm, m 1. We show that the warping function f of this warped product attains minimum as well as maximum and it will definitely be a Riemannian product under certain conditions. We also describe some suitable restrictions to these constructions for the compact base of this warped product. Later, we study h-almost η-Ricci soliton and gradient h-almost η-Ricci soliton on warped product manifolds including a concurrent vector field.
ISSN:0037-8712
2175-1188
DOI:10.5269/bspm.65021