78 citations · 1.2k across the 112 of their papers we have counts for
5 papers · 2 filters
A counterexample to Belgun-Moroianu conjecture
Vladimir S. Matveev, Yuri Nikolayevsky
We construct an example of a closed manifold with a nonflat reducible locally metric connection such that it preserves a conformal structure and such that it is not the Levi-Civita…
Smoothing 3-dimensional polyhedral spaces
Nina Lebedeva, Vladimir Matveev, Anton Petrunin +1
We show that 3-dimensional polyhedral manifolds with nonnegative curvature in the sense of Alexandrov can be approximated by nonnegatively curved 3-dimensional Riemannian manifolds…
On the number of nontrivial projective transformations of closed manifolds
Vladimir S. Matveev
We show that for a closed Riemannian manifold the quotient of the group of projective transformations by the group of isometries contains at most two elements unless the metric has…
Completeness and incompleteness of the Binet-Legendre Metric
Vladimir S. Matveev, Marc Troyanov
The goal of this short paper is to give condition for the completeness of the Binet-Legendre metric in Finsler geometry. The case of the Funk and Hilbert metrics in a convex domain…
There exist no locally symmetric Finsler spaces of positive or negative flag curvature
Vladimir S. Matveev
We show that the results of Foulon (1997 an 2002) and Kim (2007) (independently, Deng and Hou (2007)) about the nonexistence of locally symmetric Finsler metrics of positive or neg…