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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We prove Chen-like inequality involving scalar curvature and Chen-Ricci inequality for these kinds of submanifolds.
📌 3 Key Takeaways
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Objective & Hypothesis:We consider statistical submanifolds in Sasaki-like statistical manifolds.
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Key Findings & Data:We give some examples of invariant and antiinvariant submanifolds of Sasaki-like statistical manifolds.
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Conclusion & Impact:We prove Chen-like inequality involving scalar curvature and Chen-Ricci inequality for these kinds of submanifolds.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Sasaki-like statistical manifold · Chen-Ricci inequality · Ricci curvature
Abstract
We consider statistical submanifolds in Sasaki-like statistical manifolds. We give some examples of invariant and antiinvariant submanifolds of Sasaki-like statistical manifolds. We prove Chen-like inequality involving scalar curvature and Chen-Ricci inequality for these kinds of submanifolds.
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Cite This Article
AYTİMUR, H. B., ÖZGÜR, C. (2018). Inequalities for submanifolds of Sasaki-like statistical manifolds. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 6, 3149–3163. https://ajindex.com/articles/227826