Let Xi be the crown domain associated with a non-compact irreducible Hermitian symmetric space G / K. We give an explicit description of the unique G-invariant adapted hyper-Kähler structure on Xi, i.e., compatible with the adapted complex structure and with the G-invariant Kähler structure of G / K. We also compute invariant potentials of the involved Kähler metrics and the associated moment maps.
Geatti, L., Iannuzzi, A. (2019). The adapted hyper-Kähler structure on the crown domain. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 55(1), 17-41 [10.1007/s10455-018-9616-2].
The adapted hyper-Kähler structure on the crown domain
GEATTI, LAURA;IANNUZZI, ANDREA
2019-02-01
Abstract
Let Xi be the crown domain associated with a non-compact irreducible Hermitian symmetric space G / K. We give an explicit description of the unique G-invariant adapted hyper-Kähler structure on Xi, i.e., compatible with the adapted complex structure and with the G-invariant Kähler structure of G / K. We also compute invariant potentials of the involved Kähler metrics and the associated moment maps.File in questo prodotto:
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