沿各向同性曲线的迷向向量力场所做的功的值
The value of the work done by an isotropic vector force field along an isotropic curve
摘要：
本文考虑一个三维微分流形$M$，它具有一个黎曼度量$g$和一个自同态$Q$，其三次幂是单位元，$Q$充当$g$上的等距.结构$g$和$Q$都确定$(M, g, Q)$上的关联度量$f$。度量$f$是必要的不定的，它定义了切空间$T_{p}M$中在$M$上任意点$p$处的迷向向量。物理力用矢量场表示。我们研究的物理力的矢量是在$T_{p}M$ $(M, g, Q)$上。此外，这些向量是各向同性的，并且它们沿着各向同性曲线作用。我们研究这些力所做的物理功。
英文摘要：
In the present paper we consider a 3-dimensional differentiable manifold $M$ equipped with a Riemannian metric $g$ and an endomorphism $Q$, whose third power is the identity and $Q$ acts as an isometry on $g$. Both structures $g$ and $Q$ determine an associated metric $f$ on $(M, g, Q)$. The metric $f$ is necessary indefinite and it defines isotropic vectors in the tangent space $T_{p}M$ at an arbitrary point $p$ on $M$. The physical forces are represented by vector fields. We investigate physical forces whose vectors are in $T_{p}M$ on $(M, g, Q)$. Moreover, these vectors are isotropic and they act along isotropic curves. We study the physical work done by such forces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
