4. OTHER RESEARCHES

The references between [ ] are listed in publications.html for typology.


MATHEMATICAL PHYSICS

In the early stages of the career I undertook a study of explicit formulas for the volume of a family of quadratic caps. This study was motivated by an attempt to estimate the volumes of certain tumors based on three dimensions which are known via direct measurements ([1]).
In the sequel the activity went into the direction of experimental confirmations of special relativity. In particular the Michelson-Morley experiment has been analyzed ([2]) in order to point out certain aspects of the physical-mathematical analysis which had been neglected. This led to the discovery of various errors in the standard textbooks and to the description of a rigorous theoretical treatment of this experiment.


INVARIANTS IN COMPLEX DIFFERENTIAL GEOMETRY

The doctoral thesis is in this research area ([TD]). It is focussed on the study of a certain type of characteristic forms, the Weyl forms, which are associated to a projective connection on complex varieties. In particular certain families of examples have been obtained for which Weyl classes are significant. Their relation to the Chern classes have been analysed. The original results have been exposed in [RT1].