广义几何构造的非欧方法及其在时空几何中的应用
Non-Euclidean method of the generalized geometry construction and its application to space-time geometry
摘要：
研究了广义几何构造的非欧方法。根据这种方法，任何广义几何都是通过适当的欧几里得几何的变形而得到的。该方法可应用于时空几何的构造。均匀各向同性时空几何的其他，比闵可夫斯基，被认为是一个例子。在构造的时空几何中可以考虑几何对象的存在性及其时间演化问题。在黎曼时空几何的框架中，对这个问题的这种表述是不可能的。微粒的存在和动力学被认为是由相应的几何对象的存在和它们在时空中的时间演化的条件。粒子质量及其动量的几何化产生。
英文摘要：
Non-Euclidean method of the generalized geometry construction is considered. According to this approach any generalized geometry is obtained as a result of deformation of the proper Euclidean geometry. The method may be applied for construction of space-time geometries. Uniform isotropic space-time geometry other, than that of Minkowski, is considered as an example. The problem of the geometrical objects existence and their temporal evolution may be considered in the constructed space-time geometry. Such a statement of the problem is impossible in the framework of the Riemannian space-time geometry. Existence and dynamics of microparticles is considered to be conditioned by existence of corresponding geometrical objects and their temporal evolution in the space-time. Geometrization of the particle mass and its momentum is produced.
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