The asymmetry on singularities of tangent surfaces in contact-cone Legendre-null duality


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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84119

Title:	The asymmetry on singularities of tangent surfaces in contact-cone Legendre-null duality
Authors:	Ishikawa, G. Browse this author
	Machida, Y. Browse this author
	Takahashi, M. Browse this author
Issue Date:	12-Jan-2011
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	972
Start Page:	1
End Page:	23
Abstract:	We give the generic classification on singularities of tangent surfaces to Lengendre curves and to null curves by using the contact-cone duality between the contact 3-sphere and the Lagrange-Grassmannian with cone structure of a symplectic 4-space. As a consequence, we observe that the symmetry on the lists of such singularities is breaking for the contact-cone duality, compared with the ordinary projective duality.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69779
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

OAI-PMH ( junii2 , jpcoar )

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