Cañete Martín, Antonio Jesús2021-05-262021-05-262010Cañete Martín, A.J. (2010). Snell’s law in an isoperimetric setting. En XVIII International Fall Workshop on Geometry and Physics (126-132), Benasque, España: American Institute of Physics.978-0-7354-0809-80094-243Xhttps://hdl.handle.net/11441/109975In this work we focus on the isoperimetric problem in R2 endowed with a piecewise constant density. We will see that the boundary of an isoperimetric solution is not a smooth curve in general, since some corners may appear according to a rule analogous to the Snell refraction law from Optics.application/pdf7engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Snell’s lawIsoperimetric problemManifolds with densityinfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1063/1.3479313