Almost hermitian structures with parallel torsion |
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Authors: | Nils Schoemann |
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Institution: | Institut für Mathematik, Humboldt-Universität zu Berlin, Unter den Linden 6, Sitz: John-von-Neumann Haus, Adlershof, D-10099 Berlin, Germany |
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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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Keywords: | primary 53 C 25 secondary 81 T 30 |
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