Event horizons of higher dimensional space-time and the theory of Lagrange/Legendrian singularities

2014 Fiscal Year Final Research Report

• Project/Area Number: 24654008
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Geometry
• Research Institution: Hokkaido University
• Principal Investigator: IZUMIYA Shyuichi 北海道大学, 理学(系)研究科(研究院), 教授 (80127422)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: ルジャンドル特異点 / ラグランジュ特異点 / ブレーン宇宙論 / 微分幾何学 / 焦点集合 / 波面

Outline of Final Research Achievements

We constructed a geometric framework for describing the caustics of world sheets in the Minkowski space-time and gave a classification of the singularities of the caustics in the 3-dimensional Minkowski space-time. The caustics of world sheets are considered to be boundaries of one of the "multiverse" models in theoretical Physics.

Free Research Field

微分位相幾何学