Voir la notice de l'article provenant de la source Cambridge University Press
Koca, Caner; Lejmi, Mehdi. Einstein–Maxwell Equations on Four-dimensional Lie Algebras. Canadian mathematical bulletin, Tome 62 (2019) no. 4, pp. 822-840. doi: 10.4153/S0008439519000249
@article{10_4153_S0008439519000249,
author = {Koca, Caner and Lejmi, Mehdi},
title = {Einstein{\textendash}Maxwell {Equations} on {Four-dimensional} {Lie} {Algebras}},
journal = {Canadian mathematical bulletin},
pages = {822--840},
year = {2019},
volume = {62},
number = {4},
doi = {10.4153/S0008439519000249},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000249/}
}
TY - JOUR AU - Koca, Caner AU - Lejmi, Mehdi TI - Einstein–Maxwell Equations on Four-dimensional Lie Algebras JO - Canadian mathematical bulletin PY - 2019 SP - 822 EP - 840 VL - 62 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000249/ DO - 10.4153/S0008439519000249 ID - 10_4153_S0008439519000249 ER -
%0 Journal Article %A Koca, Caner %A Lejmi, Mehdi %T Einstein–Maxwell Equations on Four-dimensional Lie Algebras %J Canadian mathematical bulletin %D 2019 %P 822-840 %V 62 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000249/ %R 10.4153/S0008439519000249 %F 10_4153_S0008439519000249
[1] , , and , Ambitoric geometry I: Einstein metrics and extremal ambikähler structures . J. Reine Angew. Math. 721(2016), 109–147. Google Scholar | DOI
[2] and , Conformally Kähler, Einstein–Maxwell geometry . J. Eur. Math. Soc. 21(2019), no. 5, 1319–1360. Google Scholar | DOI
[3] , On some 4-dimensional almost Kähler manifolds . Kodai Math. J. 18(1995), no. 1, 156–168. Google Scholar | DOI
[4] , Almost Kähler 4-dimensional Lie groups with J-invariant Ricci tensor . Differential Geom. Appl. 23(2005), 1, 26–37. Google Scholar | DOI
[5] and , Conformally Einstein–Maxwell Kähler metrics and structure of the automorphism group . Math. Z. 292(2019), no. 1–2, 571–589. Google Scholar | DOI
[6] and , On the existence problem of Einstein–Maxwell Kähler metrics. arxiv:1803.06801 Google Scholar
[7] and , Volume minimization and conformally Kähler, Einstein–Maxwell geometry . J. Math. Soc. Japan 70(2018), 4, 1493–1521. Google Scholar | DOI
[8] and , Four-dimensional Einstein Lie groups . Differ. Geom. Dyn. Syst. 18(2016), 43–57. Google Scholar
[9] and , Strongly Hermitian Einstein–Maxwell solutions on ruled surfaces . Ann. Global Anal. Geom. 50(2016), no. 1, 29–46. Google Scholar | DOI
[10] , Conformally Kähler, Einstein–Maxwell metrics and boundedness of the modified Mabuchi-functional. arxiv:1710.00235 Google Scholar
[11] , Automorphisms and deformations of conformally Kähler, Einstein–Maxwell metrics . J. Geom. Anal. 29(2019), no. 1, 542–568. Google Scholar | DOI
[12] , The Einstein–Maxwell equations, extremal Kähler metrics, and Seiberg–Witten theory . In: The many facets of geometry . Oxford University Press, Oxford, 2010, pp. 17–33. Google Scholar | DOI
[13] , The Einstein–Maxwell equations, Kähler metrics, and Hermitian geometry . J. Geom. Phys. 91(2015), 163–171. Google Scholar | DOI
[14] , The Einstein–Maxwell equations and conformally Kähler geometry . Comm. Math. Phys. 344(2016), no. 2, 621–653. Google Scholar | DOI
[15] , Classification of real structures of Lie algebras of fifth order . Izv. Vysš. Učebn. Zaved. Matematika 1963(1963), no. 3 (34), 99–106. Google Scholar
[16] , , and , Invariants of real low dimension Lie algebras . J. Math. Phys. 17(1976), 986–994. Google Scholar | DOI
[17] , Compactness and rigidity of Kähler surfaces with constant scalar curvature. arxiv:1304.0853 Google Scholar
[18] , On a deformation of Riemannian structures on compact manifolds . Osaka Math. J. 12(1960), 21–37. Google Scholar
Cité par Sources :