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Creators/Authors contains: "Zhang, Yongzhe"

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  1. We construct an ancient solution to planar curve shortening. The solution is at all times compact and embedded. For t ≪<#comment/> 0 t\ll 0 it is approximated by the rotating Yin-Yang soliton, truncated at a finite angle α<#comment/> ( t ) = −<#comment/> t \alpha (t) = -t , and closed off by a small copy of the Grim Reaper translating soliton. 
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  2. null (Ed.)
    We prove a conjecture of Bernstein that the heat kernel on hyperbolic space of any dimension is supercovex in a suitable coordinate and, hence, there is an analog of Huisken’s monotonicity formula for mean curvature flow in hyperbolic space of all dimensions. 
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  3. null (Ed.)