RIEMANNIAN MANIFOLDS ADMITTING A CONFORMAL TRANSFORMATION GROUP
Abstract
Let M be a Riemannian manifold with constant scalar curvature K which admits an infinitesimal conformal transformation. A necessary and sufficient condition in order that it be isometric with a sphere is obtained.
Inequalities giving upper and lower bounds for K are also derived.
Footnotes
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↵ * G.A. Miller Visiting Professor at the University of Illinois.
