论文标题

修改后的lévylaplacian在歧管上和阳米尔斯instantons上

Modified Lévy Laplacian on manifold and Yang-Mills instantons

论文作者

Volkov, Boris O.

论文摘要

考虑了一种无限的尺寸拉普拉斯式定义为歧管上二阶定向衍生物的cesáro平均值。通过在正交旋转组中选择曲线的参数化。结果表明,在曲线上的某些条件下,该操作员与4维歧管上的Instantons有关。

An infinite dimensional Laplacian defined as the Cesáro mean of the second order directional derivatives on manifold is considered. This Laplacian is parameterized by the choice of a curve in the group of orthogonal rotations. It is shown that, under certain conditions on the curve, this operator is related to instantons on a 4-dimensional manifold.

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