Natural tensor fields of type on the tangent and cotangent bundles of a semi-Riemannian manifold
José Araujo, Guillermo Keilhauer (2000)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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José Araujo, Guillermo Keilhauer (2000)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Jacek Dębecki (2006)
Annales Polonici Mathematici
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We give a classification of canonical tensor fields of type (p,0) on an arbitrary Weil bundle over n-dimensional manifolds under the condition that n ≥ p. Roughly speaking, the result we obtain says that each such canonical tensor field is a sum of tensor products of canonical vector fields on the Weil bundle.
Т.А. Пантелеева (1986)
Trudy Geometriceskogo Seminara
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Doupovec, Miroslav, Kurek, Jan
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A. Magden, Arif A. Salimov (2006)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper we consider a method by which a skew-symmetric tensor field of type (1,2) in can be extended to the tensor bundle on the The results obtained are to some extend similar to results previously established for cotangent bundles . However, there are various important differences and it appears that the problem of lifting tensor fields of type (1,2) to the tensor bundle on the presents difficulties which are not encountered in the...