The Ricci flow approach to homogeneous Einstein metrics on flag
manifolds

J 2011

The Ricci flow approach to homogeneous Einstein metrics on flag manifolds

ANASTASSIOU, Stavros a Ioannis CHRYSIKOS

Základní údaje

Originální název

The Ricci flow approach to homogeneous Einstein metrics on flag manifolds

Autoři

ANASTASSIOU, Stavros a Ioannis CHRYSIKOS

Vydání

Journal of Geometry and Physics, Amsterdam, Elsevier Science, 2011, 0393-0440

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Nizozemské království

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 0.818

Označené pro přenos do RIV

Klíčová slova anglicky

Normalized Ricci flow; Homogeneous Einstein metrics; Flag manifolds; Poincare compactification

Štítky

RIV ne

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 17. 4. 2024 08:59, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

We give a global picture of the normalized Ricci flow on generalized flag manifolds with two or three isotropy summands. The normalized Ricci flow for these spaces reduces to a parameter-dependent system of two or three ordinary differential equations, respectively. Here, we present a qualitative study of these systems' global phase portrait, which uses techniques of dynamical systems theory. This study allows us to draw conclusions about the existence and the analytical form of invariant Einstein metrics on such manifolds and seems to offer a better insight to the classification problem of invariant Einstein metrics on compact homogeneous spaces.

Citovat

ANASTASSIOU, Stavros a Ioannis CHRYSIKOS. The Ricci flow approach to homogeneous Einstein metrics on flag manifolds. Journal of Geometry and Physics. Amsterdam: Elsevier Science, 2011, roč. 61, č. 8, s. 1587-1600. ISSN 0393-0440. Dostupné z: https://doi.org/10.1016/j.geomphys.2011.03.013.

@article{2394722,
   author = {Anastassiou, Stavros and Chrysikos, Ioannis},
   article_location = {Amsterdam},
   article_number = {8},
   doi = {https://doi.org/10.1016/j.geomphys.2011.03.013},
   keywords = {Normalized Ricci flow; Homogeneous Einstein metrics; Flag manifolds; Poincare compactification},
   language = {eng},
   issn = {0393-0440},
   journal = {Journal of Geometry and Physics},
   title = {The Ricci flow approach to homogeneous Einstein metrics on flag manifolds},
   url = {https://www.sciencedirect.com/science/article/pii/S0393044011000866},
   volume = {61},
   year = {2011}
}

TY  - JOUR
ID  - 2394722
AU  - Anastassiou, Stavros - Chrysikos, Ioannis
PY  - 2011
TI  - The Ricci flow approach to homogeneous Einstein metrics on flag manifolds
JF  - Journal of Geometry and Physics
VL  - 61
IS  - 8
SP  - 1587-1600
EP  - 1587-1600
PB  - Elsevier Science
SN  - 03930440
KW  - Normalized Ricci flow
KW  - Homogeneous Einstein metrics
KW  - Flag manifolds
KW  - Poincare compactification
UR  - https://www.sciencedirect.com/science/article/pii/S0393044011000866
N2  - We give a global picture of the normalized Ricci flow on generalized flag manifolds with two or three isotropy summands. The normalized Ricci flow for these spaces reduces to a parameter-dependent system of two or three ordinary differential equations, respectively. Here, we present a qualitative study of these systems' global phase portrait, which uses techniques of dynamical systems theory. This study allows us to draw conclusions about the existence and the analytical form of invariant Einstein metrics on such manifolds and seems to offer a better insight to the classification problem of invariant Einstein metrics on compact homogeneous spaces.
ER  -

ANASTASSIOU, Stavros a Ioannis CHRYSIKOS. The Ricci flow approach to homogeneous Einstein metrics on flag manifolds. \textit{Journal of Geometry and Physics}. Amsterdam: Elsevier Science, 2011, roč.~61, č.~8, s.~1587-1600. ISSN~0393-0440. Dostupné z: https://doi.org/10.1016/j.geomphys.2011.03.013.

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