The parabolic quaternionic Calabi-Yau equation on hyperkähler manifolds

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Parabolic Monge-Ampère equations (35K96) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)

Cites Work

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\(C^{2,\alpha}\) regularities and estimates for nonlinear elliptic and parabolic equations in geometry
Solvability of the quaternionic Monge-Ampère equation on compact manifolds with a flat hyperKähler metric
Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds
\(C^{2,\alpha}\) estimates for nonlinear elliptic equations in complex and almost complex geometry
Balanced HKT metrics and strong HKT metrics on hypercomplex manifolds
Compact hypercomplex and quaternionic manifolds
Canonical bundles of complex nilmanifolds, with applications to hypercomplex geometry
Quaternionic Monge-Ampère equation and Calabi problem for HKT-manifolds
Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
On the parabolic kernel of the Schrödinger operator
Geometry of hyper-Kähler connections with torsion
Twistor spaces for hyper-Kähler manifolds with torsion
Hyper-Kähler manifolds with torsion, supersymmetry and Hodge theory.
Abelian hypercomplex 8-dimensional nilmanifolds
The parabolic Monge-Ampère equation on compact almost Hermitian manifolds
A uniform estimate for general quaternionic Calabi problem (with appendix by Daniel Barlet)
A parabolic approach to the Calabi-Yau problem in HKT geometry
The \(C^0\) estimate for the quaternionic Calabi conjecture
On the evolution of a Hermitian metric by its Chern-Ricci form
Existence of HKT metrics on hypercomplex manifolds of real dimension 8
On the Kähler-Ricci flow on projective manifolds of general type
Vanishing theorems and string backgrounds
HyperKähler torsion structures invariant by nilpotent Lie groups
An Introduction to the Kähler–Ricci Flow
On the Chern-Ricci flow and its solitons for Lie groups
On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
A remark on the quaternionic Monge-Ampère equation on foliated manifolds
The quaternionic Calabi Conjecture on abelian Hypercomplex Nilmanifolds Viewed as Tori Fibrations
Vanishing theorems on Hermitian manifolds
Auxiliary Monge-Ampère equations in geometric analysis
On \(L^\infty\) estimates for complex Monge-Ampère equations
On the Alesker-Verbitsky conjecture on hyperKähler manifolds
Sharp uniform bound for the quaternionic Monge-Ampere equation on hyperhermitian manifolds

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