Open AccessStability of helicoidal surfaces with constant mean curvature
Author(s) -
Yuta Hatakeyama,
Miyuki Koiso
Publication year - 2020
Publication title -
international journal of mathematics for industry
Language(s) - English
Resource type - Journals
eISSN - 2661-3352
pISSN - 2661-3344
DOI - 10.1142/s2661335220500070
Subject(s) - mean curvature , regular polygon , curvature , constant (computer programming) , geometry , boundary (topology) , mathematics , center of curvature , constant mean curvature surface , surface (topology) , mathematical analysis , materials science , computer science , programming language
Motivated by an experimental result on the shape of liquid water supported by a small stainless helical wire, we find a class of stable helicoidal convex surfaces with constant mean curvature whose boundary consists of a single helix and two short arcs.