The Dynamics of Riemannian Geometries

黎曼几何的动力学

• 批准号: RGPIN-2017-04123
• 负责人: Hobill, David
• 金额: $ 1.53万
• 依托单位: University of Calgary
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=633286
• 关键词: Dynamics; Riemannian; Geometries

This research will explore the dynamics of curved Riemannian geometries in two different fields. The first is in general relativity where the formation and evolution of charged black holes will be studied in order to better understand the interaction of gravity with the electromagnetic field. The second is in botany where the dynamics of plant growth will employ a mathematical model based upon the equations of Ricci flow coupled with those describing material transport in the plant.

本研究将探讨两个不同领域的弯曲黎曼几何的动力学。第一个是在广义相对论中，将研究带电黑洞的形成和演化，以更好地理解引力与电磁场的相互作用。第二种是在植物学中，植物生长的动力学将采用基于Ricci流方程的数学模型，再加上描述植物中物质运输的方程。