| ARVANITOYEORGOS, Andreas, Ioannis CHRYSIKOS a Yusuke SAKANE. Proving isometry for homogeneous Einstein metrics on flag manifolds by symbolic computation. Journal of Symbolic Computation. Elsevier Science Ltd, 2013, roč. 55, August 2013, s. 59-71. ISSN 0747-7171. Dostupné z: https://dx.doi.org/10.1016/j.jsc.2013.03.005. |
Další formáty:
BibTeX
LaTeX
RIS
@article{2394733,
author = {Arvanitoyeorgos, Andreas and Chrysikos, Ioannis and Sakane, Yusuke},
article_number = {August 2013},
doi = {http://dx.doi.org/10.1016/j.jsc.2013.03.005},
keywords = {Homogeneous manifold; Einstein metric; Generalized flag manifold; Algebraic system of equations; Gröbner basis; Lexicographic order},
language = {eng},
issn = {0747-7171},
journal = {Journal of Symbolic Computation},
title = {Proving isometry for homogeneous Einstein metrics on flag manifolds by symbolic computation},
url = {https://www.sciencedirect.com/science/article/pii/S0747717113000497},
volume = {55},
year = {2013}
}
TY - JOUR
ID - 2394733
AU - Arvanitoyeorgos, Andreas - Chrysikos, Ioannis - Sakane, Yusuke
PY - 2013
TI - Proving isometry for homogeneous Einstein metrics on flag manifolds by symbolic computation
JF - Journal of Symbolic Computation
VL - 55
IS - August 2013
SP - 59-71
EP - 59-71
PB - Elsevier Science Ltd
SN - 07477171
KW - Homogeneous manifold
KW - Einstein metric
KW - Generalized flag manifold
KW - Algebraic system of equations
KW - Gröbner basis
KW - Lexicographic order
UR - https://www.sciencedirect.com/science/article/pii/S0747717113000497
N2 - 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.
ER -
ARVANITOYEORGOS, Andreas, Ioannis CHRYSIKOS a Yusuke SAKANE. Proving isometry for homogeneous Einstein metrics on flag manifolds by symbolic computation. \textit{Journal of Symbolic Computation}. Elsevier Science Ltd, 2013, roč.~55, August 2013, s.~59-71. ISSN~0747-7171. Dostupné z: https://dx.doi.org/10.1016/j.jsc.2013.03.005.
|
