Hans-Bert Rademacher

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We give a lower bound for the length of a non-trivial geodesic loop on a simply-connected and compact manifold of even dimension with a non-reversible Finsler metric of positive flag curvature. Harris and Paternain use this estimate in their recent paper [HP] to give a geometric characterization of dynamically convex Finsler metrics on the 2-sphere. On(More)
We consider a submanifold M of a Riemannian manifold (M , g). The Riemannian metric g induces a Riemannian metric g on the submanifold M. Then (M, g) is also called a Riemannian submanifold of the Riemannian manifold (M , g). Definition 1.1. A submanifold M of a Riemannian manifold (M , g) is called totally geodesic if any geodesic on the submanifold M with(More)
Based on the Berger{Simons holonomy classiication, we classify all Rie-mannian spin manifolds carrying a twistor spinor with at least one zero. In particular, the dimension n of the manifold is either even or n = 7. The metric is conformal to either a at metric or a Ricci at and locally irreducible metric.
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