Abstract
In this project, we intend to study holonomic submanifolds with flat normal bundle whose lines of curvature are contained in planes or spheres called Enneper submanifolds aiming the constant curvature ones.
graduation at Matemática from Universidade Estadual do Sudoeste da Bahia (2020). (Source: Lattes Curriculum)
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In this project, we intend to study holonomic submanifolds with flat normal bundle whose lines of curvature are contained in planes or spheres called Enneper submanifolds aiming the constant curvature ones.
An umbilic-free surface in Euclidean space R^3 whose curvature lines correspondent to one of its principal curvatures are contained in spheres or planes is called an Enneper surface. In this project we present a parametrization of Enneper surfaces with one family of planar curvature lines in terms of Ribaucour partial tubes, introduced in recent work by S. Chión and R. Tojeiro, and descri…
This research project investigates a generalization of Joachimsthal surfaces in higher dimensions and codimensions, specifically targeting those with constant sectional curvature. By generalizing Joachimsthal surfaces, we also aim to address whether Enneper surfaces in higher dimensions with nonzero constant sectional curvature necessarily fall within this subclass, which is known to be t…
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