Geometric flow of hypersurfaces and related problems

超曲面的几何流及相关问题

• 批准号: DE190100147
• 负责人: Prof Yong Wei
• 金额: $ 8.64万
• 依托单位: The Australian National University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Early Career Researcher Award
• 财政年份: 2019
• 资助国家: 澳大利亚
• 起止时间: 2019-01-01 至 2020-02-10
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DE190100147
• 关键词: Geometric; flow; hypersurfaces; related; problems

This project aims to address many of the important problems in the area of geometric flow of hypersurfaces. Geometric flow is the central direction in the field of geometric analysis and has proven to be powerful in understanding geometry and topology of the underlying manifolds. The project expects to improve our understanding of the flows and enable their application to unravel new results in geometry and topology through the development of new mathematical techniques. The project is expected to impact on a range of related fields, including image processing and materials science.

该项目旨在解决超曲面几何流动领域中的许多重要问题。几何流是几何分析领域的中心方向，已被证明在理解底层流形的几何和拓扑方面具有强大的功能。该项目希望通过发展新的数学技术，提高我们对流动的理解，并使它们的应用能够揭示几何和拓扑学的新结果。该项目预计将对一系列相关领域产生影响，包括图像处理和材料科学。