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A curvature obstruction to covering deformations of connections by metric deformations


Author: Paul E. Ehrlich
Journal: Proc. Amer. Math. Soc. 52 (1975), 337-342
MSC: Primary 53C20
DOI: https://doi.org/10.1090/S0002-9939-1975-0383293-4
MathSciNet review: 0383293
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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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DOI: https://doi.org/10.1090/S0002-9939-1975-0383293-4
Article copyright: © Copyright 1975 American Mathematical Society

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