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Showing 1 to 3 of 3 for “"Generalized Kähler geometry"”.
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Curvatures in generalized Kähler geometry
Bi-Hermitian is an extension of Kähler geometry which arose first in the study of supersymmetricσ-models in the 1980s. It was later rediscovered by Gualtieri, within Hitchin’s generalized geometry program, and rechristened as generalized Kähler geometry. In this thesis, we study a wide variety of …
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Morita Equivalence and Generalized Kähler Geometry
Generalized Kähler (GK) geometry is a generalization of Kähler geometry, which arises in the study of supersymmetric sigma models in physics. In this thesis, we solve the problem of determining the underlying degrees of freedom for the class of GK structures of symplectic type. This is achieved by …
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Lie Theory in Generalized Kähler Geometry
Generalized Kähler (GK) geometry was discovered in the study of N = (2, 2) supersymmetric σ-models. In this thesis we develop a new approach to GK geometry by addressing the integration problem of GK structures. To tackle this problem, we first reformulate the definition of GK structures in terms …