A front is the projection on the plane of a Legendrian immersion of a circle in the space of the contact elements of that plane. I analyze the symmetries of a generic front with respect to the group generated by the involutions reversing the orientation of the plane, the orientation of the preimage circle and the coorientation of the contact plane.
@article{urn:eudml:doc:44194,
title = {Remarks on the symmetries of planar fronts.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {8},
year = {1995},
pages = {355-378},
zbl = {1010.53002},
mrnumber = {MR1367936},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44194}
}
Aicardi, F. Remarks on the symmetries of planar fronts.. Revista Matemática de la Universidad Complutense de Madrid, Tome 8 (1995) pp. 355-378. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44194/