Proving isometry for homogeneous Einstein metrics on flag manifolds by symbolic computation

Andreas Arvanitoyeorgos; Ioannis Chrysikos; Yusuke Sakane

首页> 外文期刊>urnal of Symbolic Computation >Proving isometry for homogeneous Einstein metrics on flag manifolds by symbolic computation

【24h】

Proving isometry for homogeneous Einstein metrics on flag manifolds by symbolic computation

机译：通过符号计算证明旗流形上齐次爱因斯坦度量的等距

获取原文

获取原文并翻译 | 示例

获取外文期刊封面封底 >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

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-Kaehler 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 Groebner bases and geometrical arguments. Using this technique, we are able to prove the isometry of such metrics.

机译：一个特定流形上的两个黎曼度量是否等距的问题是微分几何中的一个基本问题，也是一个具有挑战性的问题。在本文中，我们询问某个标志流形上的两个非Kaehler齐次爱因斯坦度量是否等距。我们通过将其重新转化为多项式方程式参数系统上的相关问题并通过仔细组合Groebner基和几何参数来回答该问题来解决该问题。使用这种技术，我们能够证明这些度量的等距性。

著录项

来源
《urnal of Symbolic Computation》 |2013年第8期|59-71|共13页
作者
Andreas Arvanitoyeorgos; Ioannis Chrysikos; Yusuke Sakane;
展开▼
作者单位

University of Patras, Department of Mathematics, GR-26500 Rion. Greece;

University of Patras, Department of Mathematics, GR-26500 Rion. Greece,Masaryk University, Department of Mathematics and Statistics, Brno 611 37, Czech Republic;

Osaka University, Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka 560-043, Japan;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词
homogeneous manifold; einstein metric; generalized flag manifold; algebraic system of equations; groebner basis; lexicographic order;

机译：均质歧管爱因斯坦度量广义标志流形;方程的代数系统;groebner基础词典顺序;

相似文献

外文文献
中文文献
专利

1. Homogeneous Einstein metrics on Stiefel manifolds associated to flag manifolds with two isotropy summands [J] . Arvanitoyeorgos Andreas, Sakane Yusuke, Statha Marina Journal of symbolic computation . 2020,第NovaaDeca期

机译：与标志歧管有两个各向同性汇总的Stiefel歧管的同质爱因斯坦度量
2. Homogeneous Einstein Metrics on Certain Generalized Flag Manifolds with Six Isotropy Summands [J] . Wang Yu, Zhao Guosong Results in mathematics . 2015,第1a2期

机译：具有六个各向同性求和的某些广义标志流形上的齐次爱因斯坦度量
3. The classification of homogeneous Einstein metrics on flag manifolds with b_2 (M) = 1 [J] . Ioannis Chrysikos, Yusuke Sakaneb Bulletin des sciences mathematiques . 2014,第6期

机译：b_2（M）= 1的旗流形上齐次爱因斯坦度量的分类
4. NOTES ON HOMOGENEOUS VECTOR BUNDLES OVER COMPLEX FLAG MANIFOLDS [C] . SERGEI IGONINauthor_name/, NATO NATO advanced study institute on asymptotic combinatorics with application to mathematical physics . 2002

机译：在复杂的旗帜歧管上的同质矢量捆绑上的注意事项
5. Homogeneous Einstein metrics on SU( n) Manifolds, Hoop Conjecture for Black Rings, and ergoregions in magnetised black hole spacetimes. [D] . Mujtaba, Abid Hasan. 2013

机译：SU（n）流形，黑环箍猜想和磁化黑洞时空中的人类区域的同质爱因斯坦度量。
6. Isometries of 2-Dimensional Riemannian Manifolds into Themselves [O] . Sumner Byron Myers 1936

机译：二维黎曼流形本身
7. Homogeneous Einstein metrics on Stiefel manifolds associated to flag manifolds with two isotropy summands [O] . Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha 2020

机译：与标志歧管有两个各向同性汇总的Stiefel歧管的同质爱因斯坦度量

Proving isometry for homogeneous Einstein metrics on flag manifolds by symbolic computation

摘要

著录项

相似文献

相关主题

期刊订阅