Finsleroid--具有标量积的相对论空间
Finsleroid--Relativistic Space Endowed With Scalar Product
摘要：
在推广伪欧几何时，当一个类时向量被几何地区分为唯一的优选方向时，双曲面不能被看作是单位向量像的精确载体。因此，在相应的条件下，人们可以预期，一些时间不对称的数字应该取代双曲面。为此，我们将使用伪芬斯勒曲面。保留了空间旋转不变性（P-奇偶性）。常负曲率是伪芬斯勒曲面的基本性质。本文发展的方向证明的角度，标量积和测地线的概念的方法。在附录中，我们简要地概述了芬斯勒相对论度规函数选择的基本方面。
英文摘要：
When a single time-like vector is distinguished geometrically to present the only preferred direction in extending the pseudoeuclidean geometry, the hyperboloid may not be regarded as an exact carrier of the unit-vector image. So under respective conditions one may expect that some time-assymetric figure should be substituted with the hyperboloid. To this end we shall use the pseudo-Finsleroid. The spatial-rotational invariance (the P-parity) is retained. The constant negative curvature is the fundamental property of the pseudo-Finsleroid surface. The present paper develops the approach in the direction of evidencing the concepts of angle, scalar product, and geodesics. In Appendices we shortly outline the basic aspects that stem from the choice of the Finsleroid-relativistic metric functions.
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。
