Conformal recurrent Kӓhler spaces
| Autor: | Olexandr Savchenko, Tetyana Shevchenko, Sergiy Hedulian |
|---|---|
| Jazyk: | English<br />Ukrainian |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Pracì Mìžnarodnogo Geometričnogo Centru, Vol 17, Iss 1, Pp 88-98 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2072-9812 2409-8906 |
| DOI: | 10.15673/pigc.v17i1.2752 |
| Popis: | In this paper we study pseudo-Riemannian spaces with recurrent tensor of conformal curvature, which admit a Kähler structure. It is proved that Kähler conformally recurrent spaces other than recurrent spaces do not exist, if their dimension is four. Recurrent Kähler spaces are divided into two types. For each type, the internal necessary characteristic is given. Some properties of four-dimensional Kähler conformally recurrent Kähler spaces are studied. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|