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Displaying 141 – 160 of 383

Higher order almost tangent geometry and non-autonomous Lagrangian dynamics

de León, Manuel, Rodrigues, Paulo R. (1987)

Proceedings of the Winter School "Geometry and Physics"

Higher order geodesic symmetries

García, A., Jiménez, J. A., Sánchez, C. U. (1991)

Proceedings of the Winter School "Geometry and Physics"

Hochschild cohomology and quantization of Poisson structures

Grabowski, Janusz (1994)

Proceedings of the Winter School "Geometry and Physics"

It is well-known that the question of existence of a star product on a Poisson manifold $N$ is open and only some partial results are known [see the author, J. Geom. Phys. 9, No. 1, 45-73 (1992; Zbl 0761.16012)].In the paper under review, the author proves the existence of the star products for the Poisson structures $P$ of the following type $P = X \land Y$ with $[X, Y] = u X + v Y$ , for some $u, v \in C^{\infty} (N, ℝ)$ .

Homotopy algebras via resolutions of operads

Markl, Martin (2000)

Proceedings of the 19th Winter School "Geometry and Physics"

Summary: All algebraic objects in this note will be considered over a fixed field $k$ of characteristic zero. If not stated otherwise, all operads live in the category of differential graded vector spaces over $k$ . For standard terminology concerning operads, algebras over operads, etc., see either the original paper by J. P. May [“The geometry of iterated loop spaces”, Lect. Notes Math. 271 (1972; Zbl 0244.55009)], or an overview [J.-L. Loday, “La renaissance des opérads”, Sémin. Bourbaki 1994/95,...

Homotopy diagrams of algebras

Markl, Martin (2002)

Proceedings of the 21st Winter School "Geometry and Physics"

The paper is concerned with homotopy concepts in the category of chain complexes. It is part of the author’s program to translate [J. M. Boardman and R. M. Vogt, Homotopy invariant algebraic structures on topological spaces, Lect. Notes Math. 347, Springer-Verlag (1973; Zbl 0285.55012)] from topology to algebra.In topology the notion of operad extracts the essential algebraic information contained in the following example (endomorphism operad).The endomorphism operad $ℰ_{X}$ of a based space $X$ consists...

Homotopy type of Euclidean configuration spaces

Salvatore, Paolo (2001)

Proceedings of the 20th Winter School "Geometry and Physics"

Let $F (ℝ^{n}, k)$ denote the configuration space of pairwise-disjoint $k$ -tuples of points in $ℝ^{n}$ . In this short note the author describes a cellular structure for $F (ℝ^{n}, k)$ when $n \geq 3$ . From results in [F. R. Cohen, T. J. Lada and J. P. May, The homology of iterated loop spaces, Lect. Notes Math. 533 (1976; Zbl 0334.55009)], the integral (co)homology of $F (ℝ^{n}, k)$ is well-understood. This allows an identification of the location of the cells of $F (ℝ^{n}, k)$ in a minimal cell decomposition. Somewhat more detail is provided by the main result here,...

Hopf structures on the Borel subalgebra of $s l (2)$

Ogievetsky, O. (1994)

Proceedings of the Winter School "Geometry and Physics"

Horizontal and contact forms on constraint manifolds

Krupková, Olga, Swaczyna, Martin (2005)

Proceedings of the 24th Winter School "Geometry and Physics"

Horizontal lift of tensor fields of type (1,1) from a manifold to its tangent bundle of higher order

Gancarzewicz, Jacek, Mahi, Salima, Rahmani, Noureddine (1987)

Proceedings of the 14th Winter School on Abstract Analysis

Horizontal lifts and foliations

Pogoda, Zdzisław (1989)

Proceedings of the Winter School "Geometry and Physics"

Horizontal lifts of tensor fields and connections to the tangent bundle of higher order

Gancarzewicz, Jacek, Salgado, Modesto (1989)

Proceedings of the Winter School "Geometry and Physics"

Impossible Einstein-Weyl geometries

Eastwood, Michael (2000)

Proceedings of the 19th Winter School "Geometry and Physics"

In the joint paper of the author with K. P. Tod [J. Reine Angew. Math. 491, 183-198 (1997; Zbl 0876.53029)] they showed all local solutions of the Einstein-Weyl equations in three dimensions, where the background metric is homogeneous with unimodular isometry group. In particular, they proved that there are no solutions with Nil or Sol as background metric. In this note, these two special cases are presented.

Integrability of the Poisson algebra on a locally conformal symplectic manifold

Haller, Stefan, Rybicki, Tomasz (2000)

Proceedings of the 19th Winter School "Geometry and Physics"

Summary: It is proven that the Poisson algebra of a locally conformal symplectic manifold is integrable by making use of a convenient setting in global analysis. It is also observed that, contrary to the symplectic case, a unified approach to the compact and non-compact case is possible.

Integral geometry for complexes of rational curves

Gindikin, S. G. (1989)

Proceedings of the Winter School "Geometry and Physics"

Integrals and variational multipliers of second-order ordinary differential equations

Klapka, Lubomír (2001)

Proceedings of the 20th Winter School "Geometry and Physics"

Summary: Here, a relation between integrals and variational multipliers of a system of second-order ordinary differential equations is studied. A simple necessary and sufficient local condition for the existence of a multiplier is given.

Integration of a density and the fiber integral for regular Lie algebroids in a nonorientable case

Urbański, Tomasz (1999)

Proceedings of the 18th Winter School "Geometry and Physics"

Introduction to algebra over “brave new rings”

Vogt, R. M. (1999)

Proceedings of the 18th Winter School "Geometry and Physics"

Invariance properties of the Laplace operator

Eichhorn, Jürgen (1990)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0699.00032.] The paper deals with a special problem of gauge theory. In his previous paper [The invariance of Sobolev spaces over noncompact manifolds, Partial differential equations, Proc. Symp., Holzhaus/GDR 1988, Teubner- Texte Math. 112, 73-107 (1989; Zbl 0681.58011)], the author introduced the Sobolev completions ${\bar{𝒞}}_{P}^{k}$ of the space $𝒞_{P}$ of all G-connections on a G-principal fibre bundle P. In the present paper, under the assumption of bounded curvatures and their...

Invariant orders in Lie groups

Neeb, Karl-Hermann (1991)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0742.00067.]The author formulates several theorems about invariant orders in Lie groups (without proofs). The main theorem: a simply connected Lie group $G$ admits a continuous invariant order if and only if its Lie algebra $L (G)$ contains a pointed invariant cone. V. M. Gichev has proved this theorem for solvable simply connected Lie groups (1989). If $G$ is solvable and simply connected then all pointed invariant cones $W$ in $L (G)$ are global in $G$ (a Lie wedge $W \subset L (G)$ is said to...

Irreducible holonomy representations

Schwachhöfer, Lorenz J. (2001)

Proceedings of the 20th Winter School "Geometry and Physics"

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