On connections, geodesics and sprays in synthetic differential geometry
On natural metrics on tangent bundles of Riemannian manifolds
There is a class of metrics on the tangent bundle of a Riemannian manifold (oriented , or non-oriented, respectively), which are ’naturally constructed’ from the base metric [Kow-Sek1]. We call them “-natural metrics" on . To our knowledge, the geometric properties of these general metrics have not been studied yet. In this paper, generalizing a process of Musso-Tricerri (cf. [Mus-Tri]) of finding Riemannian metrics on from some quadratic forms on to find metrics (not necessary Riemannian)...
On the creation of conjugate points.
On the discrete Godbillon-Vey invariant and Dehn surgery on geodesic flows
On the Entropy of the Geodesic Flow in Manifolds Without Conjugate Points.
On the Ergodicity of Frame Flows.
On the existence of escaping geodesics.
On the geodesics flow of tori without conjugate points.
On the Lengths of Closed Geodesics on Almost Round Spheres.