作者定义了α-Hessian 流形 M,以及M上的一些不变量,并计算了体积泛函的第一变分.然后通过对三阶导数的估计给出了一个 Bernstein性质.%An α-Hessian manifold M, and some invariants are defined then the first variation of the volume functional is calculated. By estimating the third derivative, a Bernstein property is proved.
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