On seven dimensional 3-Sasakian manifolds | Zendy

ÖZDEMİR Nilüfer | Zendy

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On seven dimensional 3-Sasakian manifolds

Author(s) -

ÖZDEMİR Nilüfer

Publication year - 2016

Publication title -

communications faculty of science university of ankara series a1mathematics and statistics

Language(s) - English

Resource type - Journals

ISSN - 1303-5991

DOI - 10.1501/commua1_0000000748

Subject(s) - dirac operator , vector field , covariant derivative , spinor , covariant transformation , vector bundle , pure mathematics , mathematics , scalar (mathematics) , mathematical physics , scalar curvature , deformation (meteorology) , curvature , mathematical analysis , physics , geometry , meteorology

3-Sasakian manifolds in dimension seven have cocalibrated and nearly parallel G2-structures. In this work, cocalibrated G2-structure is deformed by one of the characteristic vector fields of the 3-Sasakian structure and a new G2 structure is obtained whose metric has negative scalar curvature. In addition, the new G2 structure has a nonzero Killing vector field. Then, by using this deformation, new covariant derivative on the spinor bundle is obtained and the new Dirac operator is written in terms of the Dirac operator before deformation.

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