AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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STUDIA MATHEMATICA - Ediţia nr.2 din 2023 | |||||||
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FOUR-DIMENSIONAL RIEMANNIAN PRODUCT MANIFOLDS WITH CIRCULANT STRUCTURES. Autori: IVA DOKUZOVA. |
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Rezumat: DOI: 10.24193/subbmath.2023.2.17 Received 16 May 2020; Accepted 14 July 2021. Published Online: 2023-06-14 Published Print: 2023-07-30 pp. 439-448 VIEW PDF FULL PDF A 4-dimensional Riemannian manifold equipped with an additional tensor structure, whose fourth power is the identity, is considered. This structure has a circulant matrix with respect to some basis, i.e. the structure is circulant, and it acts as an isometry with respect to the metric. The Riemannian product manifold associated with the considered manifold is studied. Conditions for the metric, which imply that the Riemannian product manifold belongs to each of the basic classes of Staikova-Gribachev’s classification, are obtained. Examples of such manifolds are given. Mathematics Subject Classification (2010): 53B20, 53C15, 15B05. Keywords: Riemannian metric, almost product structure, circulant matrix. |
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