Two remarks on $PQ^{\epsilon}$-projectivity of Riemannian metrics

Stefan Rosemann; Vladimir S. Matveev

arxiv: 1108.2965 · v1 · pith:KWXNHPHFnew · submitted 2011-08-15 · 🧮 math.DG

Two remarks on PQ^(ε)-projectivity of Riemannian metrics

Vladimir S. Matveev , Stefan Rosemann This is my paper

classification 🧮 math.DG

keywords epsilonmetricsprojectivityequivalenceimpliesriemannianaffinecite

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

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Two remarks on PQ^(ε)-projectivity of Riemannian metrics

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