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arXiv 1709.02683math.DG
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两轴伪Finsleroid度量:一般概述和角度-正则解

Two-axes pseudo-Finsleroid metrics: general overview and angle-regular solution

G. S. Asanov

摘要:

提出并研究了由所涉及的特征函数中的角分离条件所规定的两轴伪Finslerian度量类。完整的代数和微分方程的全集是在所有的严格推导出来的,这是必要的和充分的,以便一个伪Finsleroid度量函数属于类。它证明了解集合的方程是可能的。找到并详细描述了Finsleroid-in-pseudo-Finsleroid型的角正则解。

英文摘要:

The class of the two-axes pseudo-Finslerian metrics which is specified by the condition of the angle-separation in the involved characteristic functions is proposed and studied. The complete Total Set of algebraic and differential equations is derived in all rigor which are necessary and sufficient in order that a pseudo-Finsleroid metric function belong to the class. It proves possible to solve the equations of the set. The angle-regular solution of the Finsleroid-in-pseudo-Finsleroid type is found and described in detail.

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。

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