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Displaying 101 – 120 of 125

Remarks on canonical commutation relations

Kwaśniewski, A. K. (1987)

Proceedings of the Winter School "Geometry and Physics"

Remarks on the Schouten-Nijenhuis bracket

Michor, Peter W. (1987)

Proceedings of the Winter School "Geometry and Physics"

Residues for monogenic forms on Riemannian manifolds

Souček, Vladimír (1994)

Proceedings of the Winter School "Geometry and Physics"

The paper extends the theory of residues on monogenic forms on domains in $ℝ^{n}$ (monogenic forms are generalizations of holomorphic forms to Clifford analysis) to monogenic forms on orientable Riemann manifolds.

Riemann-Roch theorem after D. Toledo and Y.-L. Tong

Schechtman, V. V. (1989)

Proceedings of the Winter School "Geometry and Physics"

Riemann-Roch theorem and Lie algebra cohomology

Feigin, B. L., Tsygan, B. L. (1989)

Proceedings of the Winter School "Geometry and Physics"

Singularities in the geometry of an obstacle

Janeczko, Stanisƚaw (1987)

Proceedings of the Winter School "Geometry and Physics"

Some generalization of Godement’s theorem on division

Kubarski, Jan (1987)

Proceedings of the Winter School "Geometry and Physics"

Some invariants of Lie algebroids of principal fibre bundles

Kubarski, Jan (1989)

Proceedings of the Winter School "Geometry and Physics"

Some natural operations between connections on fibred manifolds

Doupovec, Miroslav, Vondra, Alexandr (1996)

Proceedings of the Winter School "Geometry and Physics"

Given a fibered manifold $Y \to X$ , a 2-connection on $Y$ means a section $J^{1} Y \to J^{2} Y$ . The authors determine all first order natural operators transforming a 2-connection on $Y$ and a classical linear connection on $X$ into a connection on $J^{1} Y \to Y$ . (The proof implies that there is no first order natural operator transforming 2-connections on $Y$ into connections on $J^{1} Y \to Y$ .) Using this result, the authors deduce several properties of characterizable connections on $J^{1} Y \to X$ .

Some theorems for holomorphic functions with proximate order $1 + l o g (l o g r) / l o g r$

Yoshino, Kunio (1990)

Proceedings of the Winter School "Geometry and Physics"

Special connections on smooth 3-web manifolds

Vanžurová, Alena (1996)

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

For a three-web $W$ of codimension $n$ on a differentiable manifold $M^{2 n}$ of dimension $2 n$ , the author studies the Chern connection and a family of parallelizing connections. The latter ones have a common property with the former: the web-distributions are parallel with respect to them.

Spingroups and spherical means III

Sommen, F. (1989)

Proceedings of the Winter School "Geometry and Physics"

Spinor fields on Riemannian manifolds

Pokorná, Olga (1994)

Proceedings of the Winter School "Geometry and Physics"

Supersymmetric quantum mechanics and $U (N)$ -nonlinear Schrödinger equation

Hrubý, J. (1987)

Proceedings of the Winter School "Geometry and Physics"

The double covering of the quantum group $S O_{q} (3)$

Dijkhuizen, Mathijs S. (1994)

Proceedings of the Winter School "Geometry and Physics"

The enveloping group of a lie algebra

Wojtyński, Wojciech (1989)

Proceedings of the Winter School "Geometry and Physics"

The Euler characteristic and signature for open manifolds

Eichhorn, Jürgen (1987)

Proceedings of the Winter School "Geometry and Physics"

The principal prolongation of first order $G$ -structures

Slovák, Jan (1996)

Proceedings of the Winter School "Geometry and Physics"

The author uses the concept of the first principal prolongation of an arbitrary principal filter bundle to develop an alternative procedure for constructing the prolongations of a class of the first-order $G$ -structures. The motivation comes from the almost Hermitian structures, which can be defined either as standard first-order structures, or higher-order structures, but if they do not admit a torsion-free connection, the classical constructions fail in general.

The rank of vector fields of Grassmannian manifolds

Koschorke, Ulrich, Korbaš, Július (1987)

Proceedings of the Winter School "Geometry and Physics"

Towards one conjecture on collapsing of the Serre spectral sequence

Markl, Martin (1990)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0699.00032.] A fibration $F \to E \to B$ is called totally noncohomologuous to zero (TNCZ) with respect to the coefficient field k, if $H^{*} (E; k) \to H^{*} (F; k)$ is surjective. This is equivalent to saying that $π_{1} (B)$ acts trivially on $H^{*} (F; k)$ and the Serre spectral sequence collapses at $E^{2}$ . S. Halperin conjectured that for $c h a r (k) = 0$ and F a 1-connected rationally elliptic space (i.e., both $H^{*} (F; 𝒬)$ and $π_{*} (F) \otimes 𝒬$ are finite dimensional) such that $H^{*} (F; k)$ vanishes in odd degrees, every fibration $F \to E \to B$ is TNCZ. The author proves this being the case...

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