scholarly journals Erratum to “Uniform K-stability and asymptotics of energy functionals in Kähler geometry”

2022 ◽  
Author(s):  
Sébastien Boucksom ◽  
Tomoyuki Hisamoto ◽  
Mattias Jonsson
Keyword(s):  
Kahler Geometry ◽  
Energy Functionals

scholarly journals Uniform K-stability and asymptotics of energy functionals in Kähler geometry

2019 ◽  
Vol 21 (9) ◽  
pp. 2905-2944 ◽  
Author(s):  
Sébastien Boucksom ◽  
Tomoyuki Hisamoto ◽  
Mattias Jonsson
Keyword(s):  
Kahler Geometry ◽  
Energy Functionals

scholarly journals Deformation classes in generalized Kähler geometry

2020 ◽  
Vol 7 (1) ◽  
pp. 241-256
Author(s):  
Matthew Gibson ◽  
Jeffrey Streets
Keyword(s):  
Symmetry Group ◽  
Ricci Flow ◽  
Kahler Geometry ◽  
Poisson Tensor ◽  
Natural Extensions ◽  
Generalized Kähler Geometry ◽  
Kähler Structures

AbstractWe describe natural deformation classes of generalized Kähler structures using the Courant symmetry group, which determine natural extensions of the notions of Kähler class and Kähler cone to generalized Kähler geometry. We show that the generalized Kähler-Ricci flow preserves this generalized Kähler cone, and the underlying real Poisson tensor.

The Darboux coordinate system and Holstein–Primakoff representations on Kähler manifolds

2006 ◽  
Vol 84 (10) ◽  
pp. 891-904
Author(s):  
J R Schmidt
Keyword(s):  
Coordinate System ◽  
Lie Groups ◽  
Lie Algebra ◽  
Poisson Structure ◽  
Kähler Manifolds ◽  
Coadjoint Orbits ◽  
Kahler Manifolds ◽  
Canonical Transformations ◽  
Kahler Geometry

The Kahler geometry of minimal coadjoint orbits of classical Lie groups is exploited to construct Darboux coordinates, a symplectic two-form and a Lie–Poisson structure on the dual of the Lie algebra. Canonical transformations cast the generators of the dual into Dyson or Holstein–Primakoff representations.PACS Nos.: 02.20.Sv, 02.30.Ik, 02.40.Tt

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