Contact Calabi-Yau manifolds and Special Legendrian submanifolds
classification
🧮 math.DG
keywords
calabi-yaucontactlegendrianmanifoldsspecialstructuressubmanifoldsalpha
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We consider a generalization of Calabi-Yau structures in the context of $\alpha$-Sasakian manifolds. We study deformations of a special class of Legendrian submanifolds and classify invariant contact Calabi-Yau structures on 5-dimensional nilmanifolds. Finally we generalize to codimension $r$.
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