Abstract

РЕЗОЛЬВЕНТНЫЙ ПОДХОД К МЕТОДУ ФУРЬЕ В СМЕШАННОЙ ЗАДАЧЕ ДЛЯ НЕОДНОРОДНОГО ВОЛНОВОГО УРАВНЕНИЯ

Highlights

  • The results have been obtained in the framework of the national tasks of the Ministry of Education and Science of the Russian Federation

  • The peculiarity of techniques presented in the work is the application of purely algebraic approach, the compound of different methods of differential geometry, theory of Lie groups, Lie algebras and homogeneous spaces

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Summary

Introduction

The results have been obtained in the framework of the national tasks of the Ministry of Education and Science of the Russian Federation (project no. 1.1520.2014K). P. Resolvent Approach to Fourier Method in a Mixed Problem for Non-homogeneous Wave Equation. Цель данной работы — изучить, в каких случаях невозможно построение инвариантной аффинной связности на трехмерном изотропно-точном однородном пространстве, и классифицировать пространства, не допускающие инвариантных связностей.

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