Kähler-Einstein metrics for manifolds with nonvanishing Futaki character

Mabuchi, Toshiki

Tohoku Math. J. (2), Tome 53 (2001) no. 4, p. 171-182 / Harvested from Project Euclid

Résumé

In this paper, we generalize the concept of Kähler-Einstein metrics for Fano manifolds with nonvanishing Futaki character. Similar to Kähler-Einstein metrics, these new metrics have various nice properties. In addition, the equations for the metrics are in general neither those of extremal Kähler metrics nor those of Kähler-Ricci solitons.

Publié le : 2001-05-14
Classification: 32Q20, 53C25

@article{1178207477,
     author = {Mabuchi, Toshiki},
     title = {K\"ahler-Einstein metrics for manifolds with nonvanishing Futaki character},
     journal = {Tohoku Math. J. (2)},
     volume = {53},
     number = {4},
     year = {2001},
     pages = { 171-182},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178207477}
}

Mabuchi, Toshiki. Kähler-Einstein metrics for manifolds with nonvanishing Futaki character. Tohoku Math. J. (2), Tome 53 (2001) no. 4, pp.  171-182. http://gdmltest.u-ga.fr/item/1178207477/