Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality
Journal of Singularities, Tome 3 (2011), pp. 126-143
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We give the generic classification on singularities of tangent surfaces to Legendre 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.
@article{10_5427_jsing_2011_3h,
author = {Goo Ishikawa and Yoshinori Machida, and Masatomo Takahashi},
title = {Asymmetry in singularities of tangent surfaces in contact-cone {Legendre-null} duality},
journal = {Journal of Singularities},
pages = {126--143},
publisher = {mathdoc},
volume = {3},
year = {2011},
doi = {10.5427/jsing.2011.3h},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2011.3h/}
}
TY - JOUR AU - Goo Ishikawa AU - Yoshinori Machida, AU - Masatomo Takahashi TI - Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality JO - Journal of Singularities PY - 2011 SP - 126 EP - 143 VL - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2011.3h/ DO - 10.5427/jsing.2011.3h ID - 10_5427_jsing_2011_3h ER -
%0 Journal Article %A Goo Ishikawa %A Yoshinori Machida, %A Masatomo Takahashi %T Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality %J Journal of Singularities %D 2011 %P 126-143 %V 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2011.3h/ %R 10.5427/jsing.2011.3h %F 10_5427_jsing_2011_3h
Goo Ishikawa; Yoshinori Machida,; Masatomo Takahashi. Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality. Journal of Singularities, Tome 3 (2011), pp. 126-143. doi: 10.5427/jsing.2011.3h
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