Global gravitational instantons and their degrees of symmetry.

Details Global gravitational instantons and their degrees of symmetry. Global gravitational instantons and their degrees of symmetry.

Feb 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992jmp....33..721b&link_type=abstract

Journal of Mathematical Physics, Vol. 33, No. 2, p. 721 - 724

Mathematics

Mathematical Physics

1

Scientific paper

It is shown that the n ten-dimensional very exotic spheres - or, equivalently, global gravitational instantons or solitons - admit only a finite number of involutions. They are realized as smooth SU(3) biaxial actions on Σ10 and are classified by the universal group manifold CP2. A formula, referred to as the degree of symmetry, which quantizes the maximal symmetry that a global gravitational instanton could possess is derived. Namely, it is established that Σ10 admits no more than 20 SU(3) involutions.

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