Willmore Tori with Umbilic Lines and Minimal Surfaces in Hyperbolic Space -- from Wolfram Library Archive

Title

Willmore Tori with Umbilic Lines and Minimal Surfaces in Hyperbolic Space

Authors

Mikhail V. Babich

A. Bobenko

Journal / Anthology

Duke Mathematical Journal

Year:

1993

Volume:

Issue:

Page range:

151-185

Description

We add one more interesting family of Willmore tori to those already known [22, 12, 5, 6, 13]. The main result of this paper is a constructuon of the Willmore tori with umbilic lines. ... To construct these tori we use the methods of the integrable equations, These methods were already successfully applied [17, 24, 6, 7] to differential geometric classification of some submanifolds. In particular the case of constant mean curvature (CMC) surfaces in 3-dimensional space forms R^3, S^3, H^3 has received a airly complete treatment in [24, 5, 6].

Subjects

	Mathematics > Calculus and Analysis > Differential Geometry
	Mathematics > Topology

Enable JavaScript to interact with content and submit forms on Wolfram websites. Learn how »