6533b86cfe1ef96bd12c8978
RESEARCH PRODUCT
Curvature locus and principal configurations of submanifolds of Euclidean space
Maria Del Carmen Romero FusterJuan José Nuño BallesterosFederico Sánchez-bringassubject
Mean curvaturePrincipal curvatureGeneral MathematicsHyperbolic spaceMathematical analysisCurvature formCenter of curvatureMathematics::Differential GeometrySectional curvatureCurvatureMathematicsScalar curvaturedescription
We study relations between the properties of the curvature loci of a submanifold M in Euclidean space and the behaviour of the principal configurations of M, in particular the existence of umbilic and quasiumbilic fields. We pay special attention to the case of submanifolds with vanishing normal curvature. We also characterize local convexity in terms of the curvature locus position in the normal space.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 | Revista Matemática Iberoamericana |