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On Affine Connections in a Riemannian Manifold with a Circulant Metric and two Circulant Affinor Structures Върху афинни свързаности в риманово многообразие с циркулантна метрика и две циркулантни афинорни структури

Dokuzova, Iva; Razpopov, Dimitar — 2011

Union of Bulgarian Mathematicians

Ива Р. Докузова, Димитър Р. Разпопов - В настоящата статия е разгледан клас V оттримерни риманови многообразия M с метрика g и два афинорни тензора q и S. Дефинирана е и друга метрика ¯g в M. Локалните координати на всички тези тензори са циркулантни матрици. Намерени са: 1) зависимост между тензора на кривина R породен от g и тензора на кривина ¯R породен от ¯g; 2) тъждество за тензора на кривина R в случая, когато тензорът на кривина ¯R се анулира; 3) зависимост между секционната кривина на прозволна...

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