18 citations · 45 across the 6 of their papers we have counts for
7 papers
Hessian operators, null Lagrangians and the integral comparison principle
Sławomir Dinew, Szymon Myga, Marcin Sroka
We investigate the conditions under which a Hessian operator satisfies the integral comparison principle. We establish a rather unexpected connection with the notion of a null Lagr…
Sharp uniform bound for the quaternionic Monge-Ampere equation on hyperhermitian manifolds
Marcin Sroka
We provide the sharp estimate for the quaternionic Monge-Ampere equation on any hyperhermitian manifold. This improves previously known results concerning this estimate in tw…
On the Alesker-Verbitsky conjecture on hyperKähler manifolds
Sławomir Dinew, Marcin Sroka
We solve the quaternionic Monge-Ampère equation on hyperKähler manifolds. In this way we prove the ansatz for the conjecture raised by Alesker and Verbitsky claiming that this equa…
The estimate for the quaternionic Calabi conjecture
Marcin Sroka
We prove the estimate for the quaternionic Monge-Ampère equation on compact hyperKähler with torsion manifolds. Our goal is to provide a simpler proof than the one presented…
Weak solutions to the quaternionic Monge-Ampère equation
Marcin Sroka
We solve the Dirichlet problem for the quaternionic Monge-Ampère equation with a continuous boundary data and the right hand side in for . This is the optimal bound on $…
6-dimensional product Lie algebras admitting integrable complex structures
Andrzej Czarnecki, Marcin Sroka
We classify the 6-dimensional Lie algebras of the form that admit integrable complex structure. We also endow a Lie algebra of the kind with such a co…
On normality of f.pk-structures on g-manifolds
Andrzej Czarnecki, Marcin Sroka, Robert Wolak
We consider higher dimensional generalisations of normal almost contact structures, the so called f.pk-structures where parallelism spans a Lie algebra g (f.pk-g-structures). Two t…