Some developments of Petrov’s work on conformal and projective structure. (English) Zbl 1344.83020
Summary: This paper discusses the achievements of A. Z. Petrov in the area of conformal and projective structure of space-times. In fact, it will be mostly concerned with the latter topic but points out uses of the former in developing the projective theory of space-times. Some new developments in this area of Petrov’s research will be given.
MSC:
| 83C20 | Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory |
| 53Z05 | Applications of differential geometry to physics |
| 51N15 | Projective analytic geometry |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
