論文

査読有り
2012年2月

The Gauss map of a hypersurface in Euclidean sphere and the spherical Legendrian duality

TOPOLOGY AND ITS APPLICATIONS
  • Takayuki Nagai

159
2
開始ページ
545
終了ページ
554
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1016/j.topol.2011.09.030
出版者・発行元
ELSEVIER SCIENCE BV

We investigate the Gauss map of a hypersurface in Euclidean n-sphere as an application of the theory of Legendrian singularities. We can interpret the image of the Gauss map as the wavefront set of a Legendrian immersion into a certain contact manifold. We interpret the geometric meaning of the singularities of the Gauss map from this point of view. (C) 2011 Elsevier B.V. All rights reserved.

Web of Science ® 被引用回数 : 10

リンク情報
DOI
https://doi.org/10.1016/j.topol.2011.09.030
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000300137600021&DestApp=WOS_CPL
ID情報
  • DOI : 10.1016/j.topol.2011.09.030
  • ISSN : 0166-8641
  • eISSN : 1879-3207
  • Web of Science ID : WOS:000300137600021

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