Nonlinear connections for curved twistor spaces.

Details Nonlinear connections for curved twistor spaces. Nonlinear connections for curved twistor spaces.

Feb 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17..133h&link_type=abstract

General Relativity and Gravitation, Volume 17, Issue 2, pp.133-147

Computer Science

Gravitation Theory:Space-Time

Scientific paper

A holomorphic connection on (1, 0)-vector fields which is intrinsically defined on any curved twistor space is described. Although it is a local operator, it is given in terms of the nonlocal geometry of the twistor space corresponding to the local geometry of the spacetime. The connection is represented in local coordinates by a system ofnonlinear first-order partial differential operators. It has torsion but no curvature. A parallelism is given explicitly, and an example is computed.

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