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September 10, 2025Facta Universitatis Series Mathematics and InformaticsOpen Access

On Ricci Solitons and Submanifolds With a Semi-Symmetric Non-Metric Connection

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Ricci solitons exhibit specific properties when the potential vector field is torse-forming.
Applications of these findings extend to the study of submanifolds under semi-symmetric connections.
The nature of the non-metric connection provides unique insights into the geometry involved.
Understanding these properties can enhance the theoretical framework of differential geometry.

Implication

Analysis reveals properties of Ricci solitons in relation to torse-forming vector fields, highlighting implications for submanifolds.

Abstract

We consider Ricci solitons with a semi-symmetric non-metric connection. We find some properties, when the potential vector field is torse-forming. Applications to submanifolds are also given.

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Yusuf Doğru (2025) studied this question.

synapsesocial.com/papers/68c1a12754b1d3bfb60dbe28 https://doi.org/10.22190/fumi240402028d

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Implication

Analysis reveals properties of Ricci solitons in relation to torse-forming vector fields, highlighting implications for submanifolds.

Abstract

We consider Ricci solitons with a semi-symmetric non-metric connection. We find some properties, when the potential vector field is torse-forming. Applications to submanifolds are also given.

On Ricci Solitons and Submanifolds With a Semi-Symmetric Non-Metric Connection

Key Points

Implication

Abstract

Discussion

Cite This Study

On Ricci Solitons and Submanifolds With a Semi-Symmetric Non-Metric Connection

Key Points

Implication

Abstract

Discussion

Cite This Study

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