scholarly journals Toric generalized Kähler structures. III

2020 ◽  
Vol 151 ◽  
pp. 103634
Author(s):  
Yicao Wang
Keyword(s):  
Kähler Structures

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.

scholarly journals Kähler structures on compact solvmanifolds

1990 ◽  
Vol 108 (4) ◽  
pp. 971-971
Author(s):  
Chal Benson ◽  
Carolyn S. Gordon
Keyword(s):  
Kähler Structures

scholarly journals Local Models of Isolated Singularities for Affine Special Kähler Structures in Dimension Two

2018 ◽  
Vol 2020 (17) ◽  
pp. 5215-5235 ◽  
Author(s):  
Martin Callies ◽  
Andriy Haydys
Keyword(s):  
Local Models ◽  
Isolated Singularities ◽  
Kähler Structure ◽  
Real Dimension ◽  
Cubic Form ◽  
Kähler Structures ◽  
Symplectic Connection

Abstract We construct local models of isolated singularities for special Kähler structures in real dimension two assuming that the associated holomorphic cubic form does not have essential singularities. As an application we compute the holonomy of the flat symplectic connection, which is a part of the special Kähler structure.

scholarly journals Hyper-Kähler geometry and semi-geostrophic theory

2009 ◽  
Vol 466 (2113) ◽  
pp. 195-211 ◽  
Author(s):  
Sylvain Delahaies ◽  
Ian Roulstone
Keyword(s):  
Fluid Dynamics ◽  
Geophysical Fluid Dynamics ◽  
Kahler Geometry ◽  
Geometric Properties ◽  
Geostrophic Flows ◽  
Kähler Structures ◽  
Monge Ampere

We use the formalism of Monge–Ampère operators to study the geometric properties of the Monge–Ampère equations arising in semi-geostrophic (SG) theory and related models of geophysical fluid dynamics. We show how Kähler and hyper-Kähler structures arise, and the Legendre duality arising in SG theory is generalized to other models of nearly geostrophic flows.

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