A curvature obstruction to covering deformations of connections by metric deformations

Ehrlich, Paul E.

doi:10.1090/S0002-9939-1975-0383293-4

A curvature obstruction to covering deformations of connections by metric deformations
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Proc. Amer. Math. Soc. 52 (1975), 337-342 Request permission

Abstract:

A curvature obstruction to covering a deformation of connections of a Levi-Civita connection of a Riemannian metric by a metric deformation is derived and used to study deformations of connections related to the deformation of connections arising from a conformal deformation of a Riemannian metric.

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