On the Bj\"orling problem for Born-Infeld solitons
Differential Geometry
2023-04-25 v4
Abstract
The Bj\"orling problem and its solution is a well known result for minimal surfaces in Euclidean three-space. The minimal surface equation is similar to the Born-Infeld equation, which is naturally studied in physics. In this semi-expository article, we ask the question of the Bj\"orling problem for Born-Infeld solitons. This begins with the case of locally Born-Infeld soliton surfaces and later moves on to graph-like surfaces. We also present some results about their representation formulae.
Keywords
Cite
@article{arxiv.2210.08752,
title = {On the Bj\"orling problem for Born-Infeld solitons},
author = {Sreedev Manikoth},
journal= {arXiv preprint arXiv:2210.08752},
year = {2023}
}
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12 pages