Singular 3-manifolds in ℝ⁵

2019/11/01 by Riul, Pedro Benedini, Ruas, Maria Aparecida Soares, Sacramento, Andrea de Jesus
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1911.00360

Abstract

We study 3-manifolds in ℝ⁵ with corank 1 singularities. At the singular point we define the curvature locus using the first and second fundamental forms, which contains all the local second order geometrical information about the manifold.

Related

• Curvature loci of 3-manifolds
• Relating second order geometry of manifolds through projections and normal sections
• Axial curvatures for corank 1 singular n-manifolds in \mathbb R^n+k
• Sharp decouplings for three dimensional manifolds in ℝ⁵
• 3-Sasakian Manifolds