Linear liftings of symmetric tensor fields of type (1,2) to Weil bundles

Jacek Dębecki

Displaying similar documents to “Linear liftings of symmetric tensor fields of type (1,2) to Weil bundles”

Canonical tensor fields of type (p,0) on Weil bundles

Jacek Dębecki (2006)

Annales Polonici Mathematici

Similarity:

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.

Natural tensor fields of type $(0, 2)$ on the tangent and cotangent bundles of a semi-Riemannian manifold

José Araujo, Guillermo Keilhauer (2000)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Similarity:

Generalized torsional derivation

T. J. Willmore (1957-1958)

Séminaire Ehresmann. Topologie et géométrie différentielle

Similarity:

Fibre bundles associated with fields of geometric objects and the structure tensor

J. J. Konderak (1991)

Annales Polonici Mathematici

Similarity:

Some liftings of Poisson structures to Weil bundles

Jacek Dębecki (2006)

Czechoslovak Mathematical Journal

Similarity:

We establish a formula for the Schouten-Nijenhuis bracket of linear liftings of skew-symmetric tensor fields to any Weil bundle. As a result we obtain a construction of some liftings of Poisson structures to Weil bundles.

Tensor fields of type (0,2) on linear frame bundles and cotangent bundles

Guillermo G. R. Keilhauer (2000)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

Degenerate metrical $(H, V)$ -structure on vector bundles.

Stoica, Emil (1999)

Novi Sad Journal of Mathematics

Similarity:

On the formula of Ślebodziński for Lie derivative of tensor fields in a differential space

Hanna Matuszczyk (1982)

Colloquium Mathematicae

Similarity:

Lifting of linear vector fields to fiber product preserving vertical gauge bundles

J. Kurek, W. M. Mikulski (2005)

Colloquium Mathematicae

Similarity:

We classify all natural operators lifting linear vector fields on vector bundles to vector fields on vertical fiber product preserving gauge bundles over vector bundles. We explain this result for some known examples of such bundles.

Vanishing theorems for tensor powers of an ample vector bundles.

Jean-Pierre Demailly (1988)

Inventiones mathematicae

Similarity:

On tensor fields semiconjugated with torse-forming vector fields

Lukáš Rachůnek, Josef Mikeš (2005)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Similarity:

The paper deals with tensor fields which are semiconjugated with torse-forming vector fields. The existence results for semitorse-forming vector fields and for convergent vector fields are proved.