The adapted hyper-Kahler structure on the crown domain

被引：0

作者：

Geatti, Laura ^{[1
]}

Iannuzzi, Andrea ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2019年 / 55卷 / 01期

关键词：

Hyper-Kahler manifold; Hermitian symmetric space; Crown domain; GRAUERT TUBES; COMPLEX STRUCTURES; COMPLEXIFICATION; EXTENSIONS; GEOMETRY; METRICS;

D O I：

10.1007/s10455-018-9616-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let 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-Kahler structure on , i.e., compatible with the adapted complex structure Jad and with the G-invariant Kahler structure of G/K. We also compute invariant potentials of the involved Kahler metrics and the associated moment maps.

引用

页码：17 / 41

页数：25

共 50 条

[1] ON TORIC HYPER-KAHLER MANIFOLDS GIVEN BY THE HYPER-KAHLER QUOTIENT METHOD
GOTO, R
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 : 317 - 338
[2] On the cohomology of Kahler and hyper-Kahler manifolds
Salamon, SM
[J]. TOPOLOGY, 1996, 35 (01) : 137 - 155
[3] Gravitational instantons admit hyper-Kahler structure
Aliev, AN
Nutku, Y
[J]. CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (01) : 189 - 210
[4] Hyper-Kahler Manifolds
Debarre, Olivier
[J]. MILAN JOURNAL OF MATHEMATICS, 2022, 90 (02) : 305 - 387
[5] On hyper-Kahler singularities
Belhaj, A
Saidi, EH
[J]. MODERN PHYSICS LETTERS A, 2000, 15 (29) : 1767 - 1779
[6] Hyper-Kahler manifolds
Dancer, AS
[J]. JOURNAL OF DIFFERENTIAL GEOMETRY, 1999, : 15 - 38
[7] Conification of Kahler and Hyper-Kahler Manifolds
Alekseevsky, D. V.
Cortes, V.
Mohaupt, T.
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2013, 324 (02) : 637 - 655
[8] Generalized Kahler and hyper-Kahler quotients
Bursztyn, Henrique
Cavalcanti, Gil R.
Gualtieri, Marco
[J]. POISSON GEOMETRY IN MATHEMATICS AND PHYSICS, 2008, 450 : 61 - +
[9] Massive hyper-Kahler sigma models and BPS domain walls
Arai, M
Nitta, M
Sakai, N
[J]. PHYSICS OF ATOMIC NUCLEI, 2005, 68 (10) : 1634 - 1642
[10] QUATERNIONIC, QUATERNIONIC KAHLER, AND HYPER-KAHLER SUPERMANIFOLDS
MERKULOV, SA
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1992, 25 (01) : 7 - 16

← 1 2 3 4 5 →