8 citations · 58 across the 17 of their papers we have counts for
17 papers
Generalized scalar curvature and modified moment map in generalized Kähler geometry
Ryushi Goto
We introduce a notion of generalized scalar curvature for generalized Kähler manifolds using the pure spinor formalism. For an arbitrary compact generalized Kähler manifold, we dev…
Matsushima-Lichnerowicz type theorems of Lie algebra of automorphisms of generalized Kähler manifolds of symplectic type
Ryushi Goto
In Kähler geometry, Fujiki--Donaldson show that the scalar curvature arises as the moment map for Hamiltonian diffeomorphisms. In generalized Kähler geometry, one does not have sui…
Kobayashi-Hitchin correspondence of generalized holomorphic vector bundles over generalized Kahler manifolds of symplectic type
Ryushi Goto
In the previous paper \cite{Goto_2017}, the notion of an Einstein-Hermitian metric of a generalized holomorphic vector bundle over a generalized Kahler manifold of symplectic type…
Moduli spaces of Einstein-Hermitian generalized connections over generalized Kahler manifolds of symplectic type
Ryushi Goto
From a view point of the moment map, we shall introduce the notion of Einstein-Hermitian generalized connections over a generalized Kähler manifold of symplectic type. We show that…
Scalar curvature as moment map in generalized Kahler geometry
Ryushi Goto
It is known that the scalar curvature arises as the moment map in Kahler geometry. In pursuit of this analogy, we introduce the notion of a moment map in generalized Kahler geometr…
Unobstructed deformations of generalized complex structures induced by logarithmic symplectic structures and logarithmic Poisson structures
Ryushi Goto
We shall introduce the notion of logarithmic symplectic structures on a differentiable manifold which is an analog of the one of logarithmic symplectic structures in the…