scholarly journals A Partial Comparison of Stability Notions in Kähler Geometry

Author(s):  
Zakarias Sjöström Dyrefelt
2020 ◽  
Vol 7 (1) ◽  
pp. 241-256
Author(s):  
Matthew Gibson ◽  
Jeffrey Streets

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.


2006 ◽  
Vol 84 (10) ◽  
pp. 891-904
Author(s):  
J R Schmidt

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


1987 ◽  
Vol 185 (3-4) ◽  
pp. 345-350 ◽  
Author(s):  
S. Cecotti ◽  
S. Ferrara ◽  
L. Gerardello ◽  
M. Porrati
Keyword(s):  

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