Yongzhe Zhang
Abstract
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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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.
Key concepts: Mean curvature flow, Mathematics, Curvature, Hyperbolic space, Heat kernel, Space (punctuation), Dimension (graph theory), Mathematical analysis