43 citations · 57 across the 6 of their papers we have counts for
5 papers · 1 filter
Some remarks on Myers theorem for Finsler manifolds
Mihai Anastasiei
The standard Bonnet-Myers theorem says that if the Ricci scalar of a Riemannian manifold is bounded below by a positive number, then the manifold is compact. Moreover, a bound of i…
A compactness theorem in Finsler geometry
Mihai Anastasiei, Ioan Radu Peter
Let (M.F) be a complete Finsler manifold and P be a minimal and compact submanifold of M. Ric_k(x), x in M is a differential invariant that interpolates between the flag curvature…
Selected papers
Mihai Anastasiei
Before retiring, looking back to forty years of writing and publishing scientific papers, I decided to present to the scientific community a selection of my scientific works. I cho…
Metrizable linear connections in a Lie algebroid
Mihai Anastasiei
A linear connection in a Lie algebroid is said to be metrizable if there exists a Riemannian metric in the Lie algebroid such that . Conditions for the linear connect…
Banach Lie algebroids
Mihai Anastasiei
First, we extend the notion of second order differential equations (SODE) on a smooth manifold to anchored Banach vector bundles. Then we define the Banach Lie algebroids as Lie al…