Spin (7)-manifolds with parallel torsion form

DOI10.1007/s00220-009-0879-0zbMath1184.53053arXiv0807.4875OpenAlexW2077288390WikidataQ126183196 ScholiaQ126183196MaRDI QIDQ1048111

Christof Puhle

Publication date: 11 January 2010

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4875

zbMATH Keywords

Sasakian manifoldRicci tensorRiemannian productspinor fieldalmost Hermitian manifoldcharacteristic connectionholonomy algebraisotropy algebracharacteristic torsion\(Spin(7)\)-manifoldhomogeneous naturally reductive space

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spin and Spin({}^c) geometry (53C27) Issues of holonomy in differential geometry (53C29)

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