Fastriemannsche Finslersche Metriken

We regard special Finsler manifolds which are almost Riemannian. These Finsler metrics allow to construct globally an osculating Riemannian metric with a LEVI-CIVITA connection that can be well described by Finslerian invariants. An application of this concept will be given in a paper about the pinching problem, which will be published soon. For locally almost euclidian metrics we proof generalisations of the comparison theorem of RAUCH and the theorem of SHIKATA.

---

---

Diese Arbeit beruht auf meiner Dissertation (Mainz 1970) und wurde unterstützt von der Deutschen Forschungsgemeinschaft.