43 citations · 57 across the 6 of their papers we have counts for
7 papers
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…
Nonholonomic Black Ring and Solitonic Solutions in Finsler and Extra Dimension Gravity Theories
Mihai Anastasiei, Sergiu I. Vacaru
We study stationary configurations mimicking nonholonomic locally anisotropic black rings (for instance, with ellipsoidal polarizations and/or imbedded into solitonic backgrounds)…
Fedosov Quantization of Lagrange-Finsler and Hamilton-Cartan Spaces and Einstein Gravity Lifts on (Co) Tangent Bundles
Mihai Anastasiei, Sergiu I. Vacaru
We provide a method of converting Lagrange and Finsler spaces and their Legendre transforms to Hamilton and Cartan spaces into almost Kaehler structures on tangent and cotangent bu…