Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
403184 | Journal of Symbolic Computation | 2013 | 13 Pages |
Abstract
The question whether two Riemannian metrics on a certain manifold are isometric is a fundamental and also a challenging problem in differential geometry. In this paper we ask whether two non-Kähler homogeneous Einstein metrics on a certain flag manifold are isometric. We tackle this question by reformulating it into a related question on a parametric system of polynomial equations and answering it by carefully combining Gröbner bases and geometrical arguments. Using this technique, we are able to prove the isometry of such metrics.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Andreas Arvanitoyeorgos, Ioannis Chrysikos, Yusuke Sakane,