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Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space
Title: | Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space |
Authors: | Izumiya, Shyuichi Browse this author |
Keywords: | lightcone Gauss map | lightcone Killing-Lipschitz curvature | Chern-Lashof type Theorem | lightlike tight spacelike immersion |
Issue Date: | 10-Mar-2012 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 1002 |
Start Page: | 1 |
End Page: | 25 |
Abstract: | We introduce the totally absolute lightcone curvature for a spacelike submanifold with general codimension and investigate global properties of this curvature. One of the consequences is that the Chern-Lashof type inequality holds. Then the notion of lightlike tightness is naturally induced. Moreover, the lightcone Willmore conjecture is proposed. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69807 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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