On the p-biharmonic submanifolds and stress p-bienergy tensors
Khadidja Mouffoki, Ahmed Mohammed Cherif
TL;DR
This paper investigates p-biharmonic submanifolds within space forms, establishing conditions for their characterization and exploring properties of the stress p-bienergy tensor.
Contribution
It provides necessary and sufficient conditions for p-biharmonic submanifolds and introduces new properties of the stress p-bienergy tensor.
Findings
Characterization of p-biharmonic submanifolds in space forms
New properties of the stress p-bienergy tensor
Conditions for submanifolds to be p-biharmonic
Abstract
In this paper, we consider p-biharmonic submanifolds of aspace form. We give the necessary and sufficient conditions for a submanifold to be p-biharmonic in a space form. We present some new properties for the stress p-bienergy tensor.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research