Surfaces containing a family of plane curves not forming a fibration
ISSN: 0010-0757
Datum der Publikation: 2013
Ausgabe: 64
Faszikel: 1
Seiten: 85-95
Art: Artikel
Andere Publikationen in: Collectanea mathematica
Zusammenfassung
Extending some previous results of Sierra and Tironi (J Pure Appl Algebra 209:361–369, 2007) and Beorchia and Sacchiero (J Pure Appl Algebra 213:1750–1755, 2009 ), we complete the classification of smooth surfaces swept out by a 1-dimensional family of plane curves that do not form a fibration. As a consequence, we characterize manifolds swept out by a 1-dimensional family of hypersurfaces that do not form a fibration.