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Dynamics of automorphisms on compact Kähler manifolds
holomorphic automorphism Green current laminar current Green measure
2010/12/14
We study holomorphic automorphisms on compact K¨ahler manifolds having simple actions on the Hodge cohomology ring. We show for such automorphisms that the main dynamical Green currents admit complex ...
Almost Kähler manifolds of constant antiholomorphic sectional curvature
Kä hler manifolds constant antiholomorphic sectional curvature
2010/12/6
We prove that an AK2-manifold of dimension 2m ≥ 6 and of pointwise constant antiholomorphic
sectional curvature is either a 6-dimensional manifold of constant negative sectional curvature or is local...
Nearly Kähler manifolds of constant antiholomorphic sectional curvature
Kä hler manifolds constant antiholomorphic sectional curvature
2010/12/6
In this paper we consider nearly K¨ahler manifolds of pointwise constant antiholomorphic
sectional curvature. An analogue of Schur’s theorem is proved and a classification theorem
for such manifolds...