论文标题
Riemannian和riemannian结构的统一合成RICCI曲率下限
Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures
论文作者
论文摘要
另一方面，指标措施的最新进展以及次利曼次次措施的进步表明，在合成RICCI曲率的全面框架内，可能性可能是对Riemannian和次 - 帝国的几何形状进行“巨大统一”的可能性。为了实现这样的统一计划，在本文中，我们启动了量规指标空间的研究。
Recent advances in the theory of metric measures spaces on the one hand, and of sub-Riemannian ones on the other hand, suggest the possibility of a "great unification" of Riemannian and sub-Riemannian geometries in a comprehensive framework of synthetic Ricci curvature lower bounds. With the aim of achieving such a unification program, in this paper we initiate the study of gauge metric measure spaces.
