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Contact Blow-up Analysis of the Legendrian Mean Curvature Flow and a Smale-type Theorem for Strict Contactomorphisms of Sasakian Spheres
We study the Legendrian mean curvature flow in $η$-Einstein Sasakian manifolds by parabolic rescalings which preserve the contact structure. In a compact $η$-Einstein Sasakian manifold, regular or not, the contact tangent flows at a Type I singularity are, up to vertical translations of their compon
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