TL;DR
This paper introduces new examples of QCH Kähler surfaces with specific Hermitian properties, expanding the understanding of their geometric structures and providing a broad class of Hermitian surfaces with J-invariant Ricci tensor that are not locally conformally Kähler.
Contribution
It presents new examples of QCH Kähler surfaces where the opposite almost Hermitian structure is Hermitian but not locally conformally Kähler, enriching the classification of such surfaces.
Findings
New examples of QCH Kähler surfaces with specific Hermitian properties
Identification of Hermitian surfaces with J-invariant Ricci tensor that are not l.c.k.
Expansion of the known classes of Hermitian surfaces with particular geometric features
Abstract
In this paper we give new examples of QCH Kahler surfaces whose opposite almost Hermitian strucure is Hermitian and not locally conformally Kahler. In this way we give also a large class of examples of Hermitian surfaces with J-invariant Ricci tensor which are not l.c.k.
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