Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 146, Issue 8, Pages 3485-3497Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/proc/14090
Keywords
Strong projective equivalence; Liouville's equivalence; projectively flat; affine quasi-Einstein equation
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Funding
- AEI/FEDER, UE [MTM2016-75897-P, ED431F 2017/03]
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We study the affine quasi-Einstein equation, a second-order linear homogeneous equation, which is invariantly defined on any affine manifold. We prove that the space of solutions is finite dimensional and its dimension is a strongly projective invariant. Moreover, the maximal dimension is shown to be achieved if and only if the manifold is strongly projectively flat.
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