An Intrinsic Version of the <i>k</i>-Harmonic Equation

An Intrinsic Version of the <i>k</i>-Harmonic Equation

The notion of <i>k</i>-harmonic curves is associated with the <i>k</i>th-order variational problem defined by the <i>k</i>-energy functional. The present paper gives a geometric formulation of this higher-order variational problem on a Riemannian manifold <i>...

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Bibliographic Details
Main Authors: Lígia Abrunheiro, Margarida Camarinha
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Mathematics
Subjects:
<i>k</i>-harmonic curves
Riemannian manifolds
Lagrangian and Hamiltonian formalism
Legendre transformation
Online Access:https://www.mdpi.com/2227-7390/11/17/3628

Internet

https://www.mdpi.com/2227-7390/11/17/3628

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