6533b85afe1ef96bd12b94ce

RESEARCH PRODUCT

Gauss maps on canal hypersurfaces of generic curves in R4

A. C. NabarroM. C. Romero FusterM.c. Zanardo

subject

Gauss mapComputational Theory and MathematicsGaussMathematical analysisGravitational singularityMathematics::Differential GeometryGeometry and TopologySpecial caseAnalysisMathematics

description

Abstract We analyze the generic behavior of the Gauss map in a special case provided by the canal 3-manifolds of curves generically immersed in R 4 and obtain geometrical characterizations for its singularities. We also study the geometrical properties of their corresponding parabolic surfaces, considered as surfaces immersed in R 4 .

yearjournalcountryeditionlanguage
2021-12-01Differential Geometry and its Applications
https://doi.org/10.1016/j.difgeo.2021.101816