7 citations · 48 across the 18 of their papers we have counts for
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An example of algebraically general para-Kähler Einstein space
Adam Chudecki, Michał 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 subalgeb…
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…
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…
Hyperheavenly spaces and their application in Walker and para-Kähler geometries: part II
Adam Chudecki
4-dimensional spaces equipped with congruences of null strings are considered. It is assumed that a space admits a congruence of expanding self-dual null strings and its self-dual…
Hyperheavenly spaces and their application in Walker and para-Kähler geometries: Part I
Adam Chudecki
Spaces equipped with congruences of null strings are considered. A special attention is paid to the spaces which belong to the two-sided Walker class and para-Kähler class. Propert…
Two-sided conformally recurrent self-dual spaces
Adam Chudecki
Two-sided conformally recurrent 4-dimensional self-dual spaces are considered. It is shown that such spaces are equipped with nonexpanding congruences of null strings. The general…
Classification of the traceless Ricci tensor in 4-dimensional pseudo-Riemannian spaces of neutral signature
Adam Chudecki
The traceless Ricci tensor in 4-dimensional pseudo-Riemannian spaces equipped with the metric of the neutral signature is analyzed. Its algebraic classification is given.…
On some examples of para-Hermite and para-Kähler Einstein spaces with
Adam Chudecki
Spaces equipped with two complementary (distinct) congruences of self-dual null strings and at least one congruence of anti-self-dual null strings are considered. It is shown that…
All ASD complex and real 4-dimensional Einstein spaces with admitting a nonnull Killing vector
Adam Chudecki
Anti-self-dual (ASD) 4-dimensional complex Einstein spaces with nonzero cosmological constant equipped with a nonnul Killing vector are considered. It is shown, that any confor…