Contact Blow-up Analysis of the Legendrian Mean Curvature Flow and a Smale-type Theorem for Strict Contactomorphisms of Sasakian Spheres

Shu-Cheng Chang, Chin-Tung Wu, Liuyang Zhang

We study the Legendrian mean curvature flow in $\eta$-Einstein Sasakian manifolds by parabolic rescalings which preserve the contact structure. In a compact $\eta$-Einstein Sasakian mani…