The central theme of this book is the theorem of Ambrose and Singer, which gives for a
connected, complete and simply connected Riemannian manifold a necessary and sufficient …

This review article intends to introduce the reader to non-integrable geometric structures on
Riemannian manifolds and invariant metric connections with torsion, and to discuss recent …

The present note deals with the dynamics of metric connections with vectorial torsion, as
already described by E. Cartan in 1925. We show that the geodesics of metric connections …

Archivum Mathematicum Page 1 Archivum Mathematicum Rainer Schimming Lorentzian
geometry as determined by the volumes of small truncated light cones Archivum …

I present a study of the vacuum instability problem in the Standard Model, with particular
emphasis on the effect of gravitational corrections on this process. This covers four main …

Several authors have studied the Taylor expansion for the volume of geodesic balls under
the exponential mapping of an analytic Riemannian manifold (M,\calG). A more general …

Let D be the characteristic connection of an almost-Hermitian manifold, VD m (r) the volume
of a small geodesic ball for the connection D and CCD 1 the first non-trivial term of the Taylor …

Volumes of Geodesic Balls and Spheres Page 150 http://dx. doi. org/10.1090/conm/288/04821
Contemporary Mathematics Volume 288, 2001 Volumes of Geodesic Balls and Spheres …