Biharmonic Riemannian submersions

Clicks: 227
ID: 111540
2018
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Ranked #6 of 17 articles by views in annali di matematica pura ed applicata (1923 -)

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Abstract
In this paper, we study biharmonic Riemannian submersions. We first derive bitension field of a general Riemannian submersion, and we then use it to obtain biharmonic equations for Riemannian submersions with one-dimensional fibers and Riemannian submersions with basic mean curvature vector fields of fibers. These are used to construct examples of proper biharmonic Riemannian submersions with one-dimensional fibers and to characterize warped products whose projections onto the first factor are biharmonic Riemannian submersions.
Reference Key
akyol2018annalibiharmonic Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Mehmet Akif Akyol;Ye-Lin Ou;Mehmet Akif Akyol;Ye-Lin Ou;
Journal annali di matematica pura ed applicata (1923 -)
Year 2018
DOI
doi:10.1007/s10231-018-0789-x
URL
https://link.springer.com/article/10.1007/s10231-018-0789-x
Keywords
mathematics general

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