Geodesic loops \(\tilde l_x\) on \(n\)-dimensional manifolds carrying curvilinear \((n+1)\)-web (Q2765383)

The author considers a curvilinear \((n+1)\)-web \(W(n+1,n,1^*)\) on \(n\)-dimensional differentiable manifold \(M^n\) such that the geodesic loops \(\widetilde{l}_x\) have special structure. He mentions the following results: NEWLINENEWLINENEWLINEi) If \(\widetilde{l}_x\) is a Moufang loop, then it is a group, NEWLINENEWLINENEWLINEii) if \(\widetilde{l}_x\) is a group, then \(W(4,3,1^*)\) is a group web and he gives a necessary and sufficient condition ensuring that \(\widetilde{l}_x\) is a group.NEWLINENEWLINEFor the entire collection see [Zbl 0972.00028].