Конструкція поверхневих мір на поверхнях, укладених у ріманові багатовиди з рівномірною структурою

• Date: 2017
• Main Author: Moravetska, Kateryna V.
• Format: Article
• Language: Ukrainian
• Published: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2017
• Subjects: Ріманів многовид; міра об’єму; векторне поле; поверхнева міра
• Online Access: http://journal.iasa.kpi.ua/article/view/111899
• Journal Title: System research and information technologies

A finite-dimensional Riemann manifold with a uniform structure and the corresponding Riemann measure of the volume were considered. For an embedded surface an induced Riemann volume measure can be constructed with the tensor induced by an embedding. An alternative approach to the construction of an...