August 3, 2025Facta Universitatis Series Mathematics and InformaticsOpen Access

RICCI SOLITONS AND RICCI BI-CONFORMAL VECTOR FIELDS ON THE MODEL SPACE Sol⁴₀

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Ricci solitons and vector fields exhibit distinctive properties in model space $Sol^{4}_{0}$, with various classifications and characteristics explored.
The study identifies gradient vector fields that also qualify as killing vector fields, providing a deeper understanding of their interplay.
Analysis utilizes geometric frameworks to classify vector fields, linking them with ricci solitons, which align with certain mathematical properties.
Findings enhance our understanding of vector field classifications in geometric analysis, supporting further theoretical advancements in the field.

Implication

Research classifies ricci solitons and vector fields on model space, suggesting specific properties for gradient and killing fields.

Abstract

In this paper, we classify the Ricci solitons and the Ricci bi-conformal vector fields on model space Sol⁴₀. We also show which of them are gradient vector fields and which one of those are Killing vector fields.

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Cite This Study

Sohrabpour et al. (2025) studied this question.

synapsesocial.com/papers/68af4965ad7bf08b1ead5b23 https://doi.org/10.22190/fumi240731045s

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Implication

Research classifies ricci solitons and vector fields on model space, suggesting specific properties for gradient and killing fields.

RICCI SOLITONS AND RICCI BI-CONFORMAL VECTOR FIELDS ON THE MODEL SPACE Sol⁴₀

Key Points

Implication

Abstract

Discussion

Cite This Study

RICCI SOLITONS AND RICCI BI-CONFORMAL VECTOR FIELDS ON THE MODEL SPACE Sol⁴₀

Key Points

Implication

Abstract

Discussion

Cite This Study

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