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Journals / International Electronic Journal of Geometry / 2026 / Volume: 16 Issue: 1

Back to Almost Ricci Solitons

Vladimir Rovenski(University of Haifa)0000-0003-0591-8307
Sergey Stepanov0000-0003-1734-8874
Irina Tsyganok0000-0001-9186-3992
Pages
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Publication Date
2023-04-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Then, we examine compact almost Ricci solitons using the orthogonal expansion of the Ricci tensor, this allows us to substantiate the concept of almost Ricci solitons.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the paper, we study complete almost Ricci solitons using the concepts and methods of geometric dynamics and geometric analysis.
📊
Key Findings & Data:In particular, we characterize Einstein manifolds in the class of complete almost Ricci solitons.
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Conclusion & Impact:Then, we examine compact almost Ricci solitons using the orthogonal expansion of the Ricci tensor, this allows us to substantiate the concept of almost Ricci solitons.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Almost Ricci soliton · energy density · infinitesimal harmonic transformation

Abstract

In the paper, we study complete almost Ricci solitons using the concepts and methods of geometric dynamics and geometric analysis. In particular, we characterize Einstein manifolds in the class of complete almost Ricci solitons. Then, we examine compact almost Ricci solitons using the orthogonal expansion of the Ricci tensor, this allows us to substantiate the concept of almost Ricci solitons.

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Cite This Article

Rovenski, V., Stepanov, S., Tsyganok, I. (2023). Back to Almost Ricci Solitons. International Electronic Journal of Geometry, Volume: 16 Issue: 1. https://doi.org/10.36890/iejg.1223973

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