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Displaying 3601 – 3620 of 8747

Lie-Rinehart algebras, Gerstenhaber algebras and Batalin-Vilkovisky algebras

Johannes Huebschmann (1998)

Annales de l'institut Fourier

For any Lie-Rinehart algebra $(A, L)$ , B(atalin)-V(ilkovisky) algebra structures $\partial$ on the exterior $A$ -algebra $Λ_{A} L$ correspond bijectively to right $(A, L)$ -module structures on $A$ ; likewise, generators for the Gerstenhaber algebra $Λ_{A} L$ correspond bijectively to right $(A, L)$ -connections on $A$ . When $L$ is projective as an $A$ -module, given a B-V algebra structure $\partial$ on $Λ_{A} L$ , the homology of the B-V algebra $(Λ_{A} L, \partial)$ coincides with the homology of $L$ with coefficients in $A$ with reference to the right $(A, L)$ -module structure determined by $\partial$ . When...

Lift spaces and generalized connections

Aleksander Całka (1985)

Colloquium Mathematicae

Liftings of $1$ -forms to the linear $r$ -tangent bundle

Włodzimierz M. Mikulski (1995)

Archivum Mathematicum

Let $r, n$ be fixed natural numbers. We prove that for $n$ -manifolds the set of all linear natural operators $T^{*} \to T^{*} T^{(r)}$ is a finitely dimensional vector space over $R$ . We construct explicitly the bases of the vector spaces. As a corollary we find all linear natural operators $T^{*} \to T^{r *}$ .

Liftings of 1-forms to $(J^{r} T ) $

Włodzimierz M. Mikulski (2002)

Colloquium Mathematicae

Let $J^{r} T * M$ be the r-jet prolongation of the cotangent bundle of an n-dimensional manifold M and let $(J^{r} T * M) *$ be the dual vector bundle. For natural numbers r and n, a complete classification of all linear natural operators lifting 1-forms from M to 1-forms on $(J^{r} T * M) *$ is given.

Liftings of 1-forms to some non product preserving bundles

Doupovec, Miroslav, Kurek, Jan (1998)

Proceedings of the 17th Winter School "Geometry and Physics"

Summary: The article is devoted to the question how to geometrically construct a 1-form on some non product preserving bundles by means of a 1-form on an original manifold $M$ . First, we will deal with liftings of 1-forms to higher-order cotangent bundles. Then, we will be concerned with liftings of 1-forms to the bundles which arise as a composition of the cotangent bundle with the tangent or cotangent bundle.

Liftings of covariant $(0, 2)$ -tensor fields to the bundle of $K$ -dimensional $1$ -velocities

Doupovec, Miroslav, Kurek, Jan (1996)

Proceedings of the 15th Winter School "Geometry and Physics"

Liftings of functions and vector fields to natural bundles [Book]

Jacek Gancarzewicz (1983)

Liftings of linear vector fields to product preserving gauge bundle functors on vector bundles.

Kureš, Miroslav, Mikulski, Włodzimierz M. (2003)

Lobachevskii Journal of Mathematics

Lifts and isomorphisms of commutation in bundles of jets.

Fernando Etayo Gordejuela (1988)

Collectanea Mathematica

Lifts of 1-forms to the tangent bundle of higher order

Jacek Gancarzewicz, Salima Mahi (1990)

Czechoslovak Mathematical Journal

Lifts of derivations to the frame bundle

Manuel de León, Modesto R. Salgado (1987)

Czechoslovak Mathematical Journal

Lifts of Foliated Linear Connectionsto the Second Order Transverse Bundles

Vadim V. Shurygin, Svetlana K. Zubkova (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

The second order transverse bundle $T_{}^{2} M$ of a foliated manifold $M$ carries a natural structure of a smooth manifold over the algebra $𝔻^{2}$ of truncated polynomials of degree two in one variable. Prolongations of foliated mappings to second order transverse bundles are a partial case of more general $𝔻^{2}$ -smooth foliated mappings between second order transverse bundles. We establish necessary and sufficient conditions under which a $𝔻^{2}$ -smooth foliated diffeomorphism between two second order transverse bundles maps...

Lifts of generalized symmetric spaces to tangent bundles

Masami Sekizawa (1987)

Časopis pro pěstování matematiky

Lifts of structures on manifolds.

Omran, T., Sharfuddin, A., Husain, S.I. (1984)

Publications de l'Institut Mathématique. Nouvelle Série

Lifts of the almost complex structures to $T ({Osc}^{2} M)$ .

Atanasiu, Gheorghe, Voicu, Nicoleta (1999)

Novi Sad Journal of Mathematics

Light rays in static spacetimes with critical asymptotic behavior: a variational approach.

Luisi, Valeria (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature

Dae Ho Jin, Jae Won Lee (2019)

Communications in Mathematics

We study lightlike hypersurfaces $M$ of an indefinite Kaehler manifold $\bar{M}$ of quasi-constant curvature subject to the condition that the characteristic vector field $ζ$ of $\bar{M}$ is tangent to $M$ . First, we provide a new result for such a lightlike hypersurface. Next, we investigate such a lightlike hypersurface $M$ of $\bar{M}$ such that (1) the screen distribution $S (T M)$ is totally umbilical or (2) $M$ is screen conformal.

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