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math-ph2025
An example of algebraically general para-Kähler Einstein space
Adam Chudecki, MichaÅ Dobrski
Algebraically general para-Kähler Einstein spaces equipped with 3D algebras of infinitesimal symmetries are considered. It is shown that if the algebra contains 2D trivial subalge…
math-ph2025
On a certain class of para-Hermite Einstein spaces
Adam Chudecki
A special class of (complex) para-Hermite Einstein spaces is analyzed. It is well-known that the self-dual Weyl tensor in para-Hermite Einstein spaces is of the Petrov-Penrose type…
math-ph2025
On Walker and para-Hermite Einstein spaces
Adam Chudecki
A special class of (complex) para-Hermite Einstein spaces is analyzed. For this class of spaces the self-dual Weyl tensor is type-[D] in the Petrov-Penrose classification. The anti…