Studyng geometry of some Riemannian manifolds with a help of a computer
The generalized Ricci curvature on contact Calabi-Yau 7-manifolds
Geometrial and analytical aspects of constant mean curvature immersions
| Full text | |
| Author(s): |
Riul, Pedro Benedini
;
Sinha, Raul Oset
;
Soares Ruas, Maria Aparecida
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Mathematische Nachrichten; v. N/A, p. 17-pg., 2023-06-09. |
| Abstract | |
We refine the affine classification of real nets of quadrics in order to obtain generic curvature loci of regular 3-manifolds in R-6 and singular corank one 3-manifolds in R-5. For this, we characterize the type of the curvature locus by the number and type of solutions of a system of equations given by four ternary cubics (which is a determinantal variety in some cases). We also study how singularities of the curvature locus of a regular 3-manifold can go to infinity when the manifold is projected orthogonally in a tangent direction. (AU) | |
| FAPESP's process: | 19/21181-0 - New frontiers in Singularity Theory |
| Grantee: | Regilene Delazari dos Santos Oliveira |
| Support Opportunities: | Research Projects - Thematic Grants |