English

Explicit formulas for biharmonic submanifolds in non-Euclidean 3-spheres

Differential Geometry 2007-05-23 v1

Abstract

We obtain the parametric equations of all biharmonic Legendre curves and Hopf cylinders in the 3-dimensional unit sphere endowed with the modified Sasakian structure defined by Tanno.

Keywords

Cite

@article{arxiv.math/0701156,
  title  = {Explicit formulas for biharmonic submanifolds in non-Euclidean 3-spheres},
  author = {D. Fetcu and C. Oniciuc},
  journal= {arXiv preprint arXiv:math/0701156},
  year   = {2007}
}

Comments

Dedicated to Professor Vasile Oproiu on his 65-th birthday, 15 pages

R2 v1 2026-07-22T17:48:54.760Z