Singularities of tangent surfaces in Cartan's split G2-geometry


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84166

Title:	Singularities of tangent surfaces in Cartan's split G2-geometry
Authors:	Ishikawa, Goo Browse this author
	Machida, Yoshinori Browse this author
	Takahashi, Masatomo Browse this author
Keywords:	split octonion
	Cartan distribution
	null Grassmannian
	Engel curve
	Monge curve
	tangent surface
Issue Date:	22-Oct-2012
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	1020
Start Page:	1
End Page:	26
Abstract:	In the split G2-geometry, we study the correspondence found by E. Cartan between the Cartan distribution and the contact distribution with Monge structure on spaces of five variables. Then the generic classification is given on singularities of tangent surfaces to Cartan curves and to Monge curves via the viewpoint of duality. The geometric singularity theory for simple Lie algebras of rank 2, namely, for A2,C2 = B2 and G2 is established.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69825
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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