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arXiv · 1212.6581

Sasakian metrics with an additional contact structure

Tedi Draghici·Philippe Rukimbira
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Abstract

The question of whether a Sasakian metric can admit an additional compatible (K-)contact structure is addressed. In the complete case if the second structure is also assumed Sasakian, works of Tachibana-Yu and Tanno show that the manifold must be 3-Sasakian or an odd dimensional sphere with constant curvature. Some extensions of this result are obtained, mainly in dimensions 3 and 5.

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Tedi Draghici, Philippe Rukimbira. 2012-12-29. Sasakian metrics with an additional contact structure. https://arxiv.org/abs/1212.6581

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