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math.DG2024
Polyharmonic helices
Stefano Montaldo, Andrea Ratto
The main aim of this paper is to investigate the existence of Frenet helices which are polyharmonic of order , shortly, -harmonic. We shall obtain existence, non-existence an…
math.DG2024
Triharmonic curves in the 3-dimensional Sol space
Stefano Montaldo, Andrea Ratto
The main aim of this paper is to study triharmonic curves in the 3-dimensional homogeneous space Sol. In the first part of the paper we shall obtain a complete classification of pr…