Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898918 | Journal of Geometry and Physics | 2007 | 26 Pages |
Abstract
The characteristic connection of an almost hermitian structure is a hermitian connection with totally skew-symmetric torsion. The case of parallel torsion in dimension 6 is of particular interest. In this work, we give a full classification of the algebraic types of the torsion form, and, on the basis of this, undertake a systematic investigation into the possible geometries. Numerous naturally reductive spaces are constructed and classified, and examples on nilmanifolds given.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Nils Schoemann,