Geodesic
Ambient metrics with exceptional holonomy
Leistner, Thomas1  ; Nurowski, Paweł2
1 School of Mathematical Sciences University of Adelaide SA 5005, Australia
2 Instytut Fizyki Teoretycznej Uniwersytet Warszawski ul. Hoża 69, 00-681 Warszawa, Poland
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 11 (2012) no. 2, pp. 407-436

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We present conformal structures in signature (3,2) for which the holonomy of the Fefferman-Graham ambient metric is equal to the non-compact exceptional Lie group G 2(2) . We write down the resulting 8-parameter family of G 2(2) -metrics in dimension seven explicitly in an appropriately chosen coordinate system on the ambient space.

Publié le :
Classification : 53A30, 53B30, 53C29

Leistner, Thomas 1 ; Nurowski, Paweł 2

1 School of Mathematical Sciences University of Adelaide SA 5005, Australia
2 Instytut Fizyki Teoretycznej Uniwersytet Warszawski ul. Hoża 69, 00-681 Warszawa, Poland 
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     title = {Ambient metrics with exceptional holonomy},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
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     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 11},
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     year = {2012},
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Leistner, Thomas; Nurowski, Paweł. Ambient metrics with exceptional holonomy. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 11 (2012) no. 2, pp. 407-436. http://geodesic.mathdoc.fr/item/ASNSP_2012_5_11_2_407_0/