Journal ArticleDOI
On the p -harmonic and p -biharmonic maps
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In this article, the existence of p-harmonic maps into Riemannian manifolds admitting a conformal vector field was studied and a Liouville type theorem for p-biharmonic maps was proved.Abstract:
In this paper, we study the existence of p-harmonic maps into Riemannian manifolds admitting a conformal vector field. We also prove a Liouville type theorem for p-biharmonic maps.read more
Citations
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On the p-biharmonic submanifolds and stress p-bienergy tensors
TL;DR: In this article , the necessary and sufficient conditions for a submanifold to be p-biharmonic in a space form were given, and some new properties for the stress p-bienergy tensor were presented.
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On the p-biharmonic submanifolds and stress p-bienergy tensors
TL;DR: In this paper, the necessary and sufficient conditions for a submanifold to be p-biharmonic in a space form were given, and some new properties for the stress p-bienergy tensor were presented.
Posted Content
p-Biharmonic hypersurfaces in Einstein space and conformally flat space
TL;DR: In this paper, the p-biharmonic hypersurfaces in Riemannian manifold were characterized in an Einstein space and a new example of proper P-BH hypersurface was constructed.
The Stability of $\alpha-$ Harmonic Maps with Physical Applications
TL;DR: In this article , a non-existence theorem for α − harmonic mappings is proved and a direct connection between the α− harmonic and harmonic maps is made possible via conformal deformation, and the instability of non-constant α −harmonic maps is investigated with regard to the target manifold's Ricci curvature requirements.
Journal ArticleDOI
On the generalized of p-harmonic maps
B. Merdji,Ahmed Mohammed Cherif +1 more
TL;DR: In this paper , the authors extend the definition of p-harmonic and p-biharmonic maps between Riemannian manifolds and present some new properties for the generalized stable pharmonic maps.
References
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Book ChapterDOI
Semi-Riemannian Geometry
TL;DR: In this paper, the basics of differentiable manifolds and semi-Riemannian geometry for the applications in general relativity are developed. But the applicability of these manifolds to general relativity is not discussed.
MonographDOI
Harmonic morphisms between Riemannian manifolds
Paul Baird,John C. Wood +1 more
TL;DR: In this article, the authors introduce complex-valued harmonic morphisms on three-dimensional Euclidean space and define polynomials to define harmonic mappings between Riemannian manifolds.
Book
Geometry of Harmonic Maps
TL;DR: In this article, the authors examine a fundamental mathematical concept connected to differential geometry - stochastic processes, and propose a monograph that examines the relation between the two concepts and differential geometry.