Corpus ID: 209377046

Stationary Surfaces with Boundaries

  title={Stationary Surfaces with Boundaries},
  author={Anthony D. Gruber and Magdalena D Toda and Hung Tran},
  journal={arXiv: Differential Geometry},
The goal of this article is to investigate stationary surfaces with boundaries, which arise as critical points of functionals which depend on curvature. To that end, a generalized "bending energy" functional $\mathcal{W}$, involving a symmetric function in the principal curvatures, is considered. The first variation is computed, and a stress tensor is extracted, whose divergence quantifies deviation from $\mathcal{W}$-criticality. Boundary-value problems are then examined, and a… Expand

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