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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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On complex structures on the 6-sphere
by
Gil Bor
CIMAT, Guanajuato, México
Coauthors: Luis Hernandez (CIMAT)

Oral Communication

It is an open problem whether the 6-sphere admits a complex structure. Several years ago, Claude LeBrun proved that the 6-sphere does not admit a complex structure compatible with the standard (round) metric. Two years ago, during our last visit in Bilbao, we tried to convince Alfred Gray that we proved that the 6-sphere does not admit a complex structure compatible with any metric in a (certain) neighborhood of the round one.

http://www.cimat.mx/reportes/enlinea/I-98-04.dvi

Date received: April 3, 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-22.