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- W1997214775 abstract "we call these also isotherrnal-co??jugate. When the total cutrvature is constant and positive, the surface is called spherical. VXe find that when a spherical surface is referred to an isothermal-conjugate system the fundamental quantities for the surface anld the equations which they satisfy take very simple formsforms which suggest transformations carrying the given surface into new spherical surfaces. This paper is given over to a study of these transformations. In ? 1 we derive the fundamental equations for a spherical surface referred to isothermal-conjugate lines, show that its lines of curvature and characteristic lines ? are isothermal-conjtugate, derive the expressions for the spherical representation of the given isothermal system and for the fundamental functionis when this given system is composed of the lines of curvature or the characteristic lines." @default.
- W1997214775 created "2016-06-24" @default.
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- W1997214775 date "1905-04-01" @default.
- W1997214775 modified "2023-09-25" @default.
- W1997214775 title "Surfaces of constant curvature and their transformations" @default.
- W1997214775 doi "https://doi.org/10.1090/s0002-9947-1905-1500722-0" @default.
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