Accession Number : AD0439076

Title :   APPLICATION OF SPINOR METHODS TO RIEMANNIAN MANIFOLDS.

Descriptive Note : Quarterly technical status rept. no. 2, 1 Dec 63-29 Feb 64,

Corporate Author : INNSBRUCK UNIV (AUSTRIA)

Personal Author(s) : Cap,F.

Report Date : 29 FEB 1964

Pagination or Media Count : 8

Abstract : The fundamental problem may be stated as follows: what possibilities basically exist at all of finding for any desired nonsingular transformation in Riemannian space a corresponding spin transformation. In general this does not seem to be the case, since there are no spinor representations of the full Riemannian transformation groups. Hence, within Riemannian geometry there exist two possibilities only: (1) That of attributing spin transformations to only a part of the full Riemannian transformation group, (2) Putting the Spin transformation S-1, which however would have the consequence that there no longer exists a spinor in the proper sense of the general theory of relativity. The problem of maintaining the spinor concept within the general theory of relativity is taken up extending it to cover the Lorentz case. (Author)

Descriptors :   (*ALGEBRAIC TOPOLOGY, TRANSFORMATIONS (MATHEMATICS)), RELATIVITY THEORY, GROUPS (MATHEMATICS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE