English

Legendre Trajectories of Trans-$S$-Manifolds

Differential Geometry 2022-02-01 v1

Abstract

In this paper, we consider Legendre trajectories of trans-SS-manifolds. We obtain curvature characterizations of these curves and give a classification theorem. We also investigate Legendre curves whose Frenet frame fields are linearly dependent with certain combination of characteristic vector fields of the trans-SS-manifold.

Keywords

Cite

@article{arxiv.2103.00050,
  title  = {Legendre Trajectories of Trans-$S$-Manifolds},
  author = {Şaban Güvenç},
  journal= {arXiv preprint arXiv:2103.00050},
  year   = {2022}
}