Three-surface twistors and conformal embedding

Details Three-surface twistors and conformal embedding Three-surface twistors and conformal embedding

May 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16..435t&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 16, May 1984, p. 435-443.

Mathematics

13

Conformal Mapping, Imbeddings (Mathematics), Space-Time Functions, Angular Momentum, Boundary Value Problems, Flat Surfaces

Scientific paper

The three-surface twistor equation is defined for an arbitrary
three-surface Sigma in an arbitrary curved space M. It is proved that
three-surface twistors exist on Sigma if and only if Sigma can be
embedded in a conformally flat space-time with the same first and second
fundamental forms.

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