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• W2050028804 abstract "We present a compared analysis of some properties of 3-Sasakian and 3-cosymplectic manifolds. We construct a canonical connection on an almost 3-contact metric manifold which generalises the Tanaka-Webster connection of a contact metric manifold and we use this connection to show that a 3-Sasakian manifold does not admit any Darboux-like coordinate system. Moreover, we prove that any 3-cosymplectic manifold is Ricci-flat and admits a Darboux coordinate system if and only it is flat." @default.
• W2050028804 created "2016-06-24" @default.
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• W2050028804 date "2007-12-01" @default.
• W2050028804 modified "2023-09-26" @default.
• W2050028804 title "3-Sasakian manifolds, 3-cosymplectic manifolds and Darboux theorem" @default.
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• W2050028804 doi "https://doi.org/10.1016/j.geomphys.2007.09.001" @default.
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