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arXiv · 2210.12279

Shape stability of a quadrature surface problem in infinite Riemannian manifolds

Ababacar Sadikhe Djité·Diaraf Seck
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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.

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Ababacar Sadikhe Djité, Diaraf Seck. 2022-10-21. Shape stability of a quadrature surface problem in infinite Riemannian manifolds. https://arxiv.org/abs/2210.12279

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