V. Apostolov

activity

19992026

most citedHamiltonian 2-forms in Kahler geometry, III Extremal metrics and stability

111 citations · 376 across the 46 of their papers we have counts for

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2 papers · 1 filter

math.DG2023

Hamiltonian $2$ -forms and new explicit Calabi--Yau metrics and gradient steady Kähler--Ricci solitons on $C^{n}$

Vestislav Apostolov, Charles Cifarelli

For each partition of the positive integer $n = ℓ + \sum_{j = 1}^{ℓ} d_{j}$ , where $ℓ \geq 1$ and $d_{j} \geq 0$ are integers, we construct a continuous $(ℓ - 1)$ -parameter family of…

math.DG2023

The Riemannian and symplectic geometry of the space of generalized Kähler structures

Vestislav Apostolov, Jeffrey Streets, Yury Ustinovskiy

On a compact complex manifold $(M, J)$ endowed with a holomorphic Poisson tensor $π_{J}$ and a deRham class $α \in H^{2} (M, R)$ , we study the space of generalized Kähler (GK) st…

Hamiltonian 2-forms and new explicit Calabi--Yau metrics and gradient steady Kähler--Ricci solitons on Cn

The Riemannian and symplectic geometry of the space of generalized Kähler structures

Hamiltonian $2$ -forms and new explicit Calabi--Yau metrics and gradient steady Kähler--Ricci solitons on $C^{n}$