DOI: 10.36890/iejg.1429642 ISSN: 1307-5624

A short survey on biharmonic Riemannian submersions

Ye-lin Ou
  • Applied Mathematics
  • Geometry and Topology
  • Mathematical Physics
The study of biharmonic submanifolds, initiated by B. Y. Chen \cite{Ch1, CI} and G. Y. Jiang \cite{Ji86, Ji87} independently, has received a great attention in the past 30 years with many important progress (see a recent book \cite{OC} and the 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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