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Merdji, Bouchra
- New Types of Metrics Deformations and Applications to p-Biharmonic Maps
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Authors
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1 Department of Mathematics, University Mustapha Stambouli Mascara, DZ
1 Department of Mathematics, University Mustapha Stambouli Mascara, DZ
Source
The Journal of the Indian Mathematical Society, Vol 90, No 3-4 (2023), Pagination: 387–400Abstract
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.Keywords
p-Harmonic Maps, p-Biharmonic Maps.
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