Universal connections: the local problem

Roger Sherwood Schlafly

Vol. 98 (1982), No. 1, 157–171

DOI: 10.2140/pjm.1982.98.157

Abstract

It is well known that the canonical connection on the Stiefel bundle over the Grassman manifold is universal in a certain range of dimensions. We give some local results specifying necessary and sufficient conditions for the connection to be universal for particular dimensions.

Mathematical Subject Classification 2000

Primary: 53C05

Secondary: 55R10

Milestones

Received: 12 June 1980

Published: 1 January 1982