Higher genus Angel surfaces
Organizers
Speaker
Rivu Bardhan
Time
Tuesday, January 20, 2026 2:40 PM - 5:30 PM
Venue
A7-201
Online
Zoom 388 528 9728
(BIMSA)
Abstract
In this talk, based on joint work with I. Biswas, S. Fujimori, P. Kumar, we
prove the existence of complete minimal surfaces in R3 of arbitrary genus p ≥ 1 with
least total absolute curvature and exactly two ends -- one catenoidal and one of Enneper
type -- thereby answering affirmatively a question posed by Fujimori and Shoda.
Thesesurfaces, knownasAngel surfaces, generalizeearlierexamplesthatwereconstructed
numerically by Weber. The construction extends the orthodisk method of Weber and
Wolf. A central new idea is the introduction of partial symmetry, which allows us
to impose controlled symmetry while retaining sufficient flexibility to solve the associated
period problems.
prove the existence of complete minimal surfaces in R3 of arbitrary genus p ≥ 1 with
least total absolute curvature and exactly two ends -- one catenoidal and one of Enneper
type -- thereby answering affirmatively a question posed by Fujimori and Shoda.
Thesesurfaces, knownasAngel surfaces, generalizeearlierexamplesthatwereconstructed
numerically by Weber. The construction extends the orthodisk method of Weber and
Wolf. A central new idea is the introduction of partial symmetry, which allows us
to impose controlled symmetry while retaining sufficient flexibility to solve the associated
period problems.