Published January 1, 2025 | Version v1
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RECTIFYING SUBMANIFOLDS OF RIEMANNIAN MANIFOLDS WITH ANTI-TORQUED AXIS

  • 1. Firat Univ, Dept Math, TR-23200 Elazig, Turkiye
  • 2. Izmir Democracy Univ, Dept Math, TR-35140 Izmir, Turkiye

Description

In this paper we study rectifying submanifolds of a Riemannian manifold endowed with an anti-torqued vector field. For this, we first determine a necessary and sufficient condition for the ambient space to admit such a vector field. Then we characterize submanifolds for which an anti-torqued vector field is always assumed to be tangent or normal. A similar characterization is also done in the case of the torqued vector fields. Finally, we obtain that the rectifying submanifolds with anti-torqued axis are the warped products whose warping function is a first integration of the conformal scalar of the axis.

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