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arXiv · 1108.2965

Two remarks on $PQ^ε$-projectivity of Riemannian metrics

Vladimir S. Matveev·Stefan Rosemann
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Abstract

We show that $PQ^ε$-projectivity of two Riemannian metrics introduced in \cite{Top2003} implies affine equivalence of the metrics unless $ε\in\{0,-1,-3,-5,-7,...\}$. Moreover, we show that for $ε=0$, $PQ^ε$-projectivity implies projective equivalence.

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Vladimir S. Matveev, Stefan Rosemann. 2011-08-15. Two remarks on $PQ^ε$-projectivity of Riemannian metrics. https://doi.org/10.1017/s0017089512000390

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