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Journals / International Electronic Journal of Geometry / 2026 / Volume: 17 Issue: 1

A Short Survey on Biharmonic Riemannian Submersions

Ye-lin Ou(Texas A & M University-Commerce)0009-0003-4548-3376
Pages
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Publication Date
2024-04-23
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AI Summary & Key Takeaways

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

This note attempts to give a short survey on the study of biharmonic Riemannian submersions which are a dual concept of biharmonic submanifolds (i.e., biharmonic isometric immersions).

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The study of biharmonic submanifolds, initiated by B.
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Key Findings & Data:Jiang independently, has received a great attention in the past 30 years with many important progress (see the reference for some recent books with vast references therein).
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Conclusion & Impact:This note attempts to give a short survey on the study of biharmonic Riemannian submersions which are a dual concept of biharmonic submanifolds (i.e., biharmonic isometric immersions).
🔬Design:Survey & Empirical Study
📍Scope:Comprehensive Sample
⚙️Variables:Biharmonic maps · biharmonic Riemannian submersions · BCV spaces

Abstract

The study of biharmonic submanifolds, initiated by B. Y. Chen and G. Y. Jiang independently, has received a great attention in the past 30 years with many important progress (see the reference for some recent books with vast references therein). This note attempts to give a short survey on the study of biharmonic Riemannian submersions which are a dual concept of biharmonic submanifolds (i.e., biharmonic isometric immersions).

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Cite This Article

Ou, Y. (2024). A Short Survey on Biharmonic Riemannian Submersions. International Electronic Journal of Geometry, Volume: 17 Issue: 1. https://doi.org/10.36890/iejg.1429642

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