4 citations · 7 across the 7 of their papers we have counts for
9 papers
Hermitian metrics of constant Chern scalar curvature on ruled surfaces
Caner Koca, Mehdi Lejmi
It is known that Hirzebruch surfaces of non zero degree do not admit any constant scalar curvature Kähler metric \cite{ACGT,G,M17}. In this note, we describe how to construct Hermi…
Einstein--Maxwell equations on 4-dimensional Lie algebras
Caner Koca, Mehdi Lejmi
We classify up to automorphisms all left-invariant non-Einstein solutions to the Einstein--Maxwell equations on 4-dimensional Lie algebras.
Strongly Hermitian Einstein-Maxwell Solutions on Ruled Surfaces
Caner Koca, Christina W. Tønnesen-Friedman
This paper produces explicit strongly Hermitian Einstein-Maxwell solutions on the smooth compact -manifolds that are -bundles over compact Riemann surfaces of any genus. Th…
Conformally Kähler surfaces and orthogonal holomorphic bisectional curvature
Mustafa Kalafat, Caner Koca
We show that a compact complex surface which admits a conformally Kähler metric g of positive orthogonal holomorphic bisectional curvature is biholomorphic to the complex projectiv…
Compact Complex Surfaces of Locally Conformally Flat Type
Mustafa Kalafat, Caner Koca
We show that if a compact complex surface admits a locally conformally flat metric, then it cannot contain a smooth rational curve of odd self-intersection. In particular, the surf…
On the curvature of Einstein-Hermitian surfaces
Mustafa Kalafat, Caner Koca
We give a mathematical exposition of the Page metric, and introduce an efficient coordinate system for it. We carefully examine the submanifolds of the underlying smooth manifold,…
Extremal Kaehler Metrics and Bach-Merkulov Equations
Caner Koca
In this paper, we study a coupled system of equations on oriented compact 4-manifolds which we call the Bach-Merkulov equations. These equations can be thought of as the conformall…
Einstein Hermitian Metrics of Positive Sectional Curvature
Caner Koca
In this paper we will prove that the only compact 4-manifold M with an Einstein metric of positive sectional curvature which is also hermitian with respect to some complex structur…
Irreducible Heegner Divisors in the Period Space of Enriques Surfaces
Caner Koca, Ali Sinan Sertoz
Reflection walls of certain primitive vectors in the anti-invariant sublattice of the K3 lattice define Heegner divisors in the period space of Enriques surfaces. We show that depe…