On Riemannian tangent bundles.
Al-Aqeel, Adnan, Bejancu, Aurel (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Al-Aqeel, Adnan, Bejancu, Aurel (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Bucataru, Ioan, Dahl, Matias F. (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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Brinzei, Nicoleta (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Wlodzimierz M. Mikulski (2006)
Extracta Mathematicae
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Let A be a Weil algebra and V be an A-module with dim V < ∞. Let E → M be a vector bundle and let TE → TM be the vector bundle corresponding to (A,V). We construct canonically a linear semibasic tangent valued p-form Tφ : T E → ΛT*TM ⊗ TTE on TE → TM from a linear semibasic tangent valued p-form φ : E → ΛT*M ⊗ TE on E → M. For the Frolicher-Nijenhuis bracket we prove that [[Tφ, Tψ]] = T ([[φ,ψ]]) for any linear semibasic tangent valued p- and q-forms φ and ψ on E → M. We apply...
François Gay-Balmaz, Tudor S. Ratiu (2010)
Annales de l’institut Fourier
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For symmetric classical field theories on principal bundles there are two methods of symmetry reduction: covariant and dynamic. Assume that the classical field theory is given by a symmetric covariant Lagrangian density defined on the first jet bundle of a principal bundle. It is shown that covariant and dynamic reduction lead to equivalent equations of motion. This is achieved by constructing a new Lagrangian defined on an infinite dimensional space which turns out to be gauge group...
Deshmukh, Sharief, Al-Odan, Haila, Shaman, Tahany A. (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Gzyl, Henryk, Recht, Lazaro (2007)
Boletín de la Asociación Matemática Venezolana
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Vizman, Cornelia (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Ivan Kolář (2003)
Open Mathematics
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For a linear r-th order connection on the tangent bundle we characterize geometrically its integrability in the sense of the theory of higher order G-structures. Our main tool is a bijection between these connections and the principal connections on the r-th order frame bundle and the comparison of the torsions under both approaches.
Tamássy, Lajos (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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Gîrţu, Manuela (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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