6533b86dfe1ef96bd12ca8fb

RESEARCH PRODUCT

The geometry of surfaces in 4-space from a contact viewpoint

Dirce Kiyomi Hayashida MochidaMaria Aparecida Soares RuasMaria Del Carmen Romero Fuster

subject

Computer Science::GraphicsDifferential geometryHyperplaneInflection pointHyperbolic geometryComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)GeometryGeometry and TopologyAlgebraic geometrySpace (mathematics)Topology (chemistry)Projective geometryMathematics

description

We study the geometry of the surfaces embedded in ℝ4 through their generic contacts with hyperplanes. The inflection points on them are shown to be the umbilic points of their families of height functions. As a consequence we prove that any generic convexly embedded 2-sphere in ℝ4 has inflection points.

yearjournalcountryeditionlanguage
1995-03-01Geometriae Dedicata
https://doi.org/10.1007/bf01265348