Shape stability of a quadrature surface problem in infinite Riemannian manifolds
Differential Geometry
2022-12-19 v2
Abstract
In this paper, we give a simple control on how an optimal shape can be characterized. The framework of Riemannian manifold of infinite dimension is essential. And the covariant derivative plays a key role in the computation and in the analysis of qualitative properties from the shape hessian. The control depends only on the mean curvature of the domain which is a minimum or a critical point.
Keywords
Cite
@article{arxiv.2210.12279,
title = {Shape stability of a quadrature surface problem in infinite Riemannian manifolds},
author = {Ababacar Sadikhe Djité and Diaraf Seck},
journal= {arXiv preprint arXiv:2210.12279},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:1702.07579 by other authors