Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/48585

Title:	Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space
Authors:	Izumiya, Shyuichi Browse this author →KAKEN DB
Authors:	Ylidirim, Handan Browse this author
Keywords:	Legendrian dualities
	Lorentz-Minkowski space
	Pseudo-spheres
Issue Date:	1-Feb-2012
Publisher:	Elsevier B.V.
Journal Title:	Topology and its Applications
Volume:	159
Issue:	2
Start Page:	509
End Page:	518
Publisher DOI:	10.1016/j.topol.2011.09.026
Abstract:	In this paper we define one-parameter families of Legendrian double fibrations in the products of pseudo-spheres in Lorentz-Minkowski space which are the extensions of four Legendrian double fibrations in the previous research. We show that these are contact diffeomorphic to each other. Moreover, we construct one-parameter families of new extrinsic differential geometries on spacelike hypersurfaces in these pseudo-spheres as applications of such extensions of the Legendrian double fibrations.
Type:	article (author version)
URI:	http://hdl.handle.net/2115/48585
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 泉屋周一

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