Notes on semi-symmetric connections on spaces endowed with Weyl -structures.
Hirică, Elena Iulia (1997)
General Mathematics
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Hirică, Elena Iulia (1997)
General Mathematics
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B. Hajduk (1976)
Colloquium Mathematicae
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U. C. Vohra, K. D. Singh (1972)
Annales Polonici Mathematici
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P. H. Doyle (1974)
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Fumio Narita (2001)
Colloquium Mathematicae
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We study the geometric structure of a Gauduchon manifold of constant curvature. We give a necessary and sufficient condition for a Gauduchon manifold to be a Gauduchon manifold of constant curvature, and we classify the Gauduchon manifolds of constant curvature. Next, we investigate Weyl submanifolds of such manifolds.
Ivan Kolář (1984)
Banach Center Publications
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Jiří Vanžura (2017)
Archivum Mathematicum
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We find necessary and sufficient conditions for the integrability of one type of multisymplectic 3-forms on a 6-dimensional manifold.
Anna Bednarska (2012)
Annales UMCS, Mathematica
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We prove that any first order F2 Mm1,m2,n1,n2-natural operator transforming projectable general connections on an (m1,m2, n1, n2)-dimensional fibred-fibred manifold p = (p, p) : (pY : Y → Y) → (pM : M → M) into general connections on the vertical prolongation V Y → M of p: Y → M is the restriction of the (rather well-known) vertical prolongation operator V lifting general connections Γ on a fibred manifold Y → M into VΓ (the vertical prolongation of Γ) on V Y → M.
Fumio Narita (2007)
Colloquium Mathematicae
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We define Weyl submersions, for which we derive equations analogous to the Gauss and Codazzi equations for an isometric immersion. We obtain a necessary and sufficient condition for the total space of a Weyl submersion to admit an Einstein-Weyl structure. Moreover, we investigate the Einstein-Weyl structure of canonical variations of the total space with Einstein-Weyl structure.
Rezaii, M.M., Barzegari, M. (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Wlodzimierz Waliszewski (1987)
Colloquium Mathematicae
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Katsuro Sakai (1996)
Compositio Mathematica
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Josef Janyška (2011)
Annales Polonici Mathematici
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We prove the (first) reduction theorem for general and classical connections, i.e. we prove that any natural operator of a general connection Γ on a fibered manifold and a classical connection Λ on the base manifold can be expressed as a zero order operator of the curvature tensors of Γ and Λ and their appropriate derivatives.