Capillary surfaces inside polyhedral regions

Antonio Alarcon; Rabah Souam

Capillary surfaces inside polyhedral regions

Differential Geometry 2014-04-09 v3

Authors: Antonio Alarcon , Rabah Souam

Abstract

In this paper we provide a large new family of embedded capillary surfaces inside polyhedral regions in the Euclidean space. The angle of contact of the examples we furnish is prescribed to be any value in $(\frac{\pi}{2}, \pi]$ and it is allowed to vary from one boundary component to the other.

Keywords

differential geometry of surfaces and curves in euclidean space surfaces and embeddings

Cite

@article{arxiv.1401.6935,
  title  = {Capillary surfaces inside polyhedral regions},
  author = {Antonio Alarcon and Rabah Souam},
  journal= {arXiv preprint arXiv:1401.6935},
  year   = {2014}
}

Comments

Corollary 1.2 on p. 4, and its proof in the new Sec. 5, have been added in this version

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