78 citations · 1.2k across the 112 of their papers we have counts for
7 papers · 2 filters
On projective equivalence and pointwise projective relation of Randers metrics
Vladimir S. Matveev
We correct a mistake in Shen Yibing, Yu Yaoyong, On Projectively Related Randers Metrics, International Journal of Mathematics 19}(2008), no. 5, 503--520, and prove the natural gen…
Can we make a Finsler metric complete by a trivial projective change?
Vladimir S. Matveev
A trivial projective change of a Finsler metric is the Finsler metric . I explain when it is possible to make a given Finsler metric both forward and backward complete…
Two remarks on -projectivity of Riemannian metrics
Vladimir S. Matveev, Stefan Rosemann
We show that -projectivity of two Riemannian metrics introduced in \cite{Top2003} implies affine equivalence of the metrics unless . Moreover, we s…
The Binet-Legendre Metric in Finsler Geometry
Vladimir S. Matveev, Marc Troyanov
For every Finsler metric we associate a Riemannian metric (called the Binet-Legendre metric). The transformation is -stable and has good smoothness p…
Some Remarks on Nijenhuis Bracket, Formality, and Kähler Manifolds
Paolo de Bartolomeis, Vladimir S. Matveev
One (actually, almost the only effective) way to prove formality of a differentiable manifold is to be able to produce a suitable derivation such that -lemma holds. We firs…
Proof of the Yano-Obata Conjecture for holomorph-projective transformations
Vladimir S. Matveev, Stefan Rosemann
We prove the classical Yano-Obata conjecture by showing that the connected component of the group of holomorph-projective transformations of a closed, connected Riemannian Kähler m…
Geodesically equivalent metrics in general relativity
Vladimir S. Matveev
We discuss whether it is possible to reconstruct a metric by its unparameterized geodesics, and how to do it effectively. We explain why this problem is interesting for general rel…