Biharmonic Riemannian submersions

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Akyol M. A., Ou Y.

Annali di Matematica Pura ed Applicata, cilt.198, sa.2, ss.559-570, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 198 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s10231-018-0789-x
  • Dergi Adı: Annali di Matematica Pura ed Applicata
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.559-570
  • Anahtar Kelimeler: Biharmonic maps, Biharmonic Riemannian submersions, Riemannian submersions, Twisted product, Warped product
  • Uşak Üniversitesi Adresli: Hayır

Özet

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.