Metodo

International Studies in Phenomenology and Philosophy

Book | Chapter

184990

Riemann's work on minimal surfaces

Sumio Yamada

pp. 135-150

Abstract

Three months before his death in 1866, Riemann left a set of notes to K. Hattendorff, a disciple of his, on minimal surfaces with boundary. Afterwards, Hattendorff supplied the text to the notes mostly consisting of computations, which became the two papers on the subject: "On the surface of least area with a given boundary" and "Examples of surfaces of least area with a given boundary." We will go over the expositions and provide an overview from the modern viewpoint, make some comments on Riemann-Hattendorff's text, and compare the work with that of Weierstrass on the same subject.

Publication details

Published in:

Ji Lizhen, Papadopoulos Athanase, Yamada Sumio (2017) From Riemann to differential geometry and relativity. Dordrecht, Springer.

Pages: 135-150

DOI: 10.1007/978-3-319-60039-0_5

Full citation:

Yamada Sumio (2017) „Riemann's work on minimal surfaces“, In: L. Ji, A. Papadopoulos & S. Yamada (eds.), From Riemann to differential geometry and relativity, Dordrecht, Springer, 135–150.