Title of article
The Gauss map of a hypersurface in Euclidean sphere and the spherical Legendrian duality
Author/Authors
Nagai، نويسنده , , Takayuki، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2012
Pages
10
From page
545
To page
554
Abstract
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.
Keywords
Hypersurfaces , Spherical Legendrian duality , Wavefront set , Bifurcation sets , Contact between hypersurfaces , Euclidean sphere , Gauss maps , Family of height functions , singularities
Journal title
Topology and its Applications
Serial Year
2012
Journal title
Topology and its Applications
Record number
1583215
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