Nearly Kähler geometry

近凯勒几何

• 批准号: 5406787
• 负责人: Professor Dr. Uwe Semmelmann
• 金额: --
• 依托单位: Abteilung für Geometrie und Topologie
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2003
• 资助国家: 德国
• 起止时间: 2002-12-31 至 2008-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5406787?language=en
• 关键词: Nearly; hler; geometry

Nearly and almost Kähler manifolds form important classes of almost Hermitian manifolds. They were studied for many years. However, an application of nearly Kähler manifolds in string theory led to a renewed interest in recent years. Aim of the proposed project is a study of nearly and almost Kähler manifolds, which should approach a classification of nearly Kähler manifolds in dimension 6 and a classification of almost Kähler manifolds under additional curvature conditions. The study of these two geometries is unified by the consideration of the canonical Hermitian connection and its properties.

近乎和几乎凯勒流形构成了近厄米流形的重要类别。他们被研究了很多年。然而，近几年来，近凯勒流形在弦理论中的应用引起了人们的新兴趣。拟议项目的目标是研究近凯勒流形，该研究应接近维度 6 中的近凯勒流形的分类以及附加曲率条件下的近凯勒流形的分类。这两种几何的研究通过考虑正则埃尔米特联系及其性质而统一起来。