A real variety with boundary and its global parameterization
- Authors: Batkhin A.B.1
-
Affiliations:
- Keldysh Institute of Applied Mathematics
- Issue: Vol 43, No 2 (2017)
- Pages: 75-83
- Section: Article
- URL: https://journals.rcsi.science/0361-7688/article/view/176485
- DOI: https://doi.org/10.1134/S0361768817020037
- ID: 176485
Cite item
Abstract
An algebraic variety in R3 is studied that plays an important role in the investigation of the normalized Ricci flow on generalized Wallach spaces related to invariant Einstein metrics. A procedure for obtaining a global parametric representation of this variety is described, which is based on the use of the intersection of this variety with the discriminant set of an auxiliary cubic polynomial as the axis of parameterization. For this purpose, elimination theory and computer algebra are used. Three different parameterization of the variety are obtained; each of them is valid for certain noncritical values of one of the parameters.
About the authors
A. B. Batkhin
Keldysh Institute of Applied Mathematics
Author for correspondence.
Email: batkhin@gmail.com
Russian Federation, Moscow, 125047