立命館大学数理科学科

立命館大学幾何学セミナー

日時：2016年9月26日(月)16:30～17:30

場所：立命館大学びわこ・くさつキャンパス(BKC)
　　　  ウェストウィング7階数学第1研究室
 
講演者：古谷賢朗（東京理科大学）

講演題目：A co-dimension 3 sub-Riemannian structure on Gromoll-Meyer exotic sphere
 
アブストラクト：
We construct a co-dimension 3 completely non-holonomic sub-bundle on the Gromoll-Meyer exotic 7 sphere based on its realization as a base space of Sp(2) principal bundle with the structure group Sp(1). The same method is valid for constructing a co-dimension 3 sub-bundle on the standard 7 sphere (and also on 4n+3 dimensional standard sphere). For the standard sphere cases a co-dimension 3 sub-bundle was constructed by making use of the Hopf bundle. Our method gives a simple proof for the standard case.