The precessional frequency of a gyroscope in the quaternionic formulation of general relativity

The precessional frequency of a gyroscope in a reference frame that orbits about a gravitational body is compared between Einstein's tensor formulation of general relativity and the author's quaternion generalization—obtained from a factorization of the tensor form. The difference in predictions then suggests an experiment that could choose which of these formulations of general relativity is more valid in the analysis of gyroscopic motion.     

Ein isotropes Analogon zu einem Satz von Abramescu und einige Grenzwertformeln

Ohne ZusammenfassungHerrn Prof. Dr. W.Meyer-König zum 60. Geburtstag gewidmet     

Causally continuous spacetimes

Causally continuous general relativistic spacetimes are defined and analyzed. In a causally continuous spacetime, the past and future of a local observer behave continuously under small perturbations of the metric or small changes in his location. Causally simple spacetimes are causally continuous; causally continuous spacetimes are causally stable. Possible reasons for taking causal continuity as a basic postulate in macrophysics are briefly discussed.     

Geradenkomplexe im Flaggenraum I

In this paper we consider complexes of lines in an isotropic space of degree two, i. e. a three dimensional real affine space with the metricds ²=dx ². Using the method of differential forms we study the local differential geometry of first order and the theory of complex curves. Finally we give some applications in the theory of linear complexes.