2-Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons
In this study, we present the notion of 2-conformal vector fields on Riemannian and semi-Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2-conformal. A few implications of 2-conformal vector fields in...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/6724169 |
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| Summary: | In this study, we present the notion of 2-conformal vector fields on Riemannian and semi-Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2-conformal. A few implications of 2-conformal vector fields in hyperbolic Ricci solitons are investigated. In addition, we explore the properties of Sol space in terms of φRic-vector fields and hyperbolic Ricci solitons. Lastly, we discuss the gradient hyperbolic Ricci soliton with a special concircular vector field of gradient type in Sol space. |
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| ISSN: | 2314-4785 |