On the curvature of tensor product connections and covariant differentials
Janyška, Josef
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Janyška, Josef
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Hrishikes Sen (1959)
Rendiconti del Seminario Matematico della Università di Padova
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M. Crampin, E. Martínez, W. Sarlet (1996)
Annales de l'I.H.P. Physique théorique
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Svetislav M. Minčić (2013)
Publications de l'Institut Mathématique
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Minčić, Svetislav M. (1999)
Novi Sad Journal of Mathematics
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Maria Robaszewska (2016)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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For two-dimensional manifold M with locally symmetric connection ∇ and with ∇-parallel volume element vol one can construct a flat connection on the vector bundle TM ⊕ E, where E is a trivial bundle. The metrizable case, when M is a Riemannian manifold of constant curvature, together with its higher dimension generalizations, was studied by A.V. Shchepetilov [J. Phys. A: 36 (2003), 3893-3898]. This paper deals with the case of non-metrizable locally symmetric connection. Two flat connections...
Minc̀ić, Svetislav M. (1990)
Publications de l'Institut Mathématique. Nouvelle Série
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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.
Marco Modugno (1989)
Časopis pro pěstování matematiky
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