Article 2024 · 0 citations

Exploring gradient soliton structures and metric deformations on Riemannian manifolds with parallel vector fields

Djaa, Nour Elhouda, Gezer, Aydin, Djaa, Mustapha

Abstract

In this present paper, we delve into an investigation of the distinctive characteristics and properties exhibited by various Ricci soliton structures that manifest within Riemannian manifolds equipped with parallel vector fields. Expanding upon these discoveries, we offer systematic classifications related to the conformal and semi-conformal modifications applied to a Riemannian metric denoted as g. To enhance the clarity and practical applicability of our research, we provide illustrative examples that serve to validate and exemplify the theoretical findings and relationships presented throughout the paper. These examples serve as tangible instances that concretely exemplify the presence and behavior of manifolds endowed with the aforementioned soliton structures.

Keywords

Parallel vector field gradient Ricci soliton gradient m-QE gradient rho-Einstein soliton gradient eta-Ricci soliton confor-mal metric semi-conformal metric RICCI SOLITONS RIGIDITY

WoS Categories

Mathematics, Applied Mathematics

Citation

Journal: FILOMAT
Year: 2024
Volume: 38
Issue: 33
Pages: 11747-11772
ISSN: 0354-5180
DOI: 10.2298/FIL2433747D
WoS UID: WOS:001468185400012

Open via DOI