Twistors and Nearly Autoparallel Maps
General Relativity and Quantum Cosmology
2009-10-28 v1 dg-ga
High Energy Physics - Theory
Differential Geometry
Abstract
In this work a proposal for definition of twistors on generic curved spaces is exposed and investigated. We consider superpositions of nearly autoparallel and nearly geodesic maps (nearly conformal maps, nc-maps) of (pseudo-)Riemannian spaces as generalizations of conformal transforms. We introduce the nearly autoparallel twistor equations being compatible on nc-flat spaces and study nearly autoparallel twistor structures generating curved spaces and vacuum Einstein equations.
Cite
@article{arxiv.gr-qc/9602010,
title = {Twistors and Nearly Autoparallel Maps},
author = {Sergiu I. Vacaru and Sergiu V. Ostaf},
journal= {arXiv preprint arXiv:gr-qc/9602010},
year = {2009}
}
Comments
21 pages, latex, to be published in Rep. Math. Phys