Show simple item record

dc.contributor.authorArnold, Vladimir
dc.date.accessioned2011-05-03T07:33:38Z
dc.date.available2011-05-03T07:33:38Z
dc.date.issued1999
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6145
dc.language.isootheren
dc.subjectTopological propertiesen
dc.subjectRotational curvesen
dc.subject.ddc516en
dc.titleTopological Problems of the Theory of Asymptotic Curvesen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenAn asymptotic curve on a surface in a three-dimensional Euclidean or projective space is an integral curve of a vector field of asymptotic directions (directions along which the second fundamental form vanishes {reviewer: this means that asymptotic directions are a projective phenomenon, not a metric one}). We prove that the (generic) asymptotic curves on hyperbolic surfaces are precisely the (generic) space curves without flattening points. These curves can also be defined as those curves that are smooth and have smooth dual curves (called rotational curves). Rotational curves have inflection points.en
dc.relation.isversionofjnlnameProceedings of the Steklov Institute of Mathematics
dc.relation.isversionofjnlvol225en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate1999
dc.relation.isversionofjnlpages5-15en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSteklov Institute of Mathematicsen
dc.subject.ddclabelGéométrieen


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record