Development of nilpotent geometry and nilpotent analysis II

2014 Fiscal Year Final Research Report

• Project/Area Number: 23540114
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Geometry
• Research Institution: Doshisha University (2012-2014); Kinki University (2011)
• Principal Investigator: MORIMOTO Tohru 同志社大学, 研究開発推進機構, 嘱託研究員 (80025460)
• Co-Investigator(Renkei-kenkyūsha): ISHIKAWA Goo 北海道大学, 大学院理学研究科, 教授 (50176161) ; FURUTANI Kenro 東京理科大学, 理工学部, 教授 (70112901) ; MACHIDA Yoshinori 沼津工業高等専門学校, 嘱託教授 (90141895) ; TSUKAMOTO Chiaki 京都工芸業繊維大学, 工芸科学研究科, 教授 (80155340) ; AGAOKA Yoshio 広島大学, 総合科学部, 教授 (50192894)
• Project Period (FY): 2011-04-28 – 2015-03-31
• Keywords: 巾零幾何 / 巾零解析 / 内在的幾何 / 外在的幾何 / 微分方程式系 / 不変量 / Klein-Cartan programme

Outline of Final Research Achievements

In the course of developing nilpotent geometry and nilpotent analysis, we proposed a Klein-Cartan programme for systems of linear differential equations and have established a general framework to carry it out. We are now trying to establish a much more general framework to treat a Klein-Cartan programme for geometries (intrinsic and extrinsic) and differential equations (linear and non-linear).

Free Research Field

幾何学