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International Congress on Differential Geometry in memory of Alfred Gray (1939-1998)
September 18-23, 2000
Universidad del País Vasco
Bilbao, Spain

Organizers
M. Fernández (chairman), R. Ibáñez, M. Macho-Stadler

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Weierstrass type formula of super-minimal J-holomorphic curves of 6-dimensional sphere
by
Hideya Hashimoto
Nippon Institute of Technology, Japan

Oral Communication

Let S6 be a 6-dimensional sphere in the purely imaginary octonions. Then there exists a homogeneous almost Hermitian structure on it, and its group of automorphisms coincide with the exceptional Lie group G2. In 1982, R.L.Bryant proved that the existence theorem of super-minimal J-holomorphic curves of S6. In this talk, we shall give the representation formula of super-minimal J-holomorphic curves of S6 more explicitely, and its applications.

Date received: May 30, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadq-97.