New Types of Metrics Deformations and Applications to p-Biharmonic Maps
Authors
-
Department of Mathematics, University Mustapha Stambouli Mascara ,DZ
Bouchra Merdji -
Department of Mathematics, University Mustapha Stambouli Mascara ,DZAhmed Mohammed Cherif
DOI:
https://doi.org/10.18311/jims/2023/29702Keywords:
p-Harmonic Maps, p-Biharmonic Maps.Abstract
We construct p-biharmonic non p-harmonic maps between Riemannian manifolds (M, g) and (N, h) by first making the ansatz that φ : (M, g) → (N, h) be a p-biharmonic map and then deforming the metric on N by h˜ = h − df ⊗ df to render φ p-biharmonic, where f is a smooth function on N satisfying some conditions. We construct a new example of p-biharmonic non p-harmonic map.
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Copyright (c) 2023 Bouchra Merdji, Ahmed Mohammed Cherif
This work is licensed under a Creative Commons Attribution 4.0 International License.
Accepted 2023-03-14
Published 2023-07-12
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