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$T$ -semisymmetric spaces and concircular vector fields

Mikeš, Josef, Rachůnek, Lukáš (2002)

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

The approximate symmetries of the vacuum Einstein equations

Tiller, Petr (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

The author reviews the theory of approximate infinitesimal symmetries of partial differential equations. Based on this and on Ibragimov's result on the general symmetries of the vacuum Einstein equation, he proposes a method to calculate approximate symmetries of the non-vacuum Einstein equation: the energy-momentum tensor is treated like a perturbation.

The cohomology of ${\tilde{G}}_{m, 2}$ with integer coefficients

Vanžura, Jiří (1999)

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

The cohomology of the diffeomorphism group of a manifold is a Gelfand-Fuks cohomology

Michor, Peter W. (1987)

Proceedings of the 14th Winter School on Abstract Analysis

The decomposition of tensor spaces with almost complex structure

Lakomá, Lenka, Jukl, Marek (2004)

Proceedings of the 23rd 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 generalized $𝒜_{\infty}$ -algebra structure on BGG sequences and generalized associative operad

Somberg, Petr (2003)

Proceedings of the 22nd Winter School "Geometry and Physics"

The graded representations of an affine Lie algebra

Futorny, V. M. (1991)

Proceedings of the Winter School "Geometry and Physics"

The iterated version of a translative integral formula for sets of positive reach

Rataj, Jan (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

By taking into account the work of J. Rataj and M. Zähle [Geom. Dedicata 57, 259-283 (1995; Zbl 0844.53050)], R. Schneider and W. Weil [Math. Nachr. 129, 67-80 (1986; Zbl 0602.52003)], W. Weil [Math. Z. 205, 531-549 (1990; Zbl 0705.52006)], an integral formula is obtained here by using the technique of rectifiable currents.This is an iterated version of the principal kinematic formula for $q$ sets of positive reach and generalized curvature measures.

The Lefschetz type theorem for a class of noncompact mappings

Kryszewski, W. (1987)

Proceedings of the 14th Winter School on Abstract Analysis

The maximal function of a complex measure

van Acker, Nadine (1991)

Proceedings of the Winter School "Geometry and Physics"

The Penrose transform and Clifford analysis

Bureš, J., Souček, V. (1991)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0742.00067.]The Penrose transform is always based on a diagram of homogeneous spaces. Here the case corresponding to the orthogonal group $S O (2 n, C)$ is studied by means of Clifford analysis [see F. Brackx, R. Delanghe and F. Sommen: Clifford analysis (1982; Zbl 0529.30001)], and is presented a simple approach using the Dolbeault realization of the corresponding cohomology groups and a simple calculus with differential forms (the Cauchy integral formula for solutions of...

The Poisson transform for higher order differential operators

Šmíd, Dalibor (2005)

Proceedings of the 24th 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"

The regularity condition for some natural functors

Pogoda, Zdzisław (1987)

Proceedings of the 14th Winter School on Abstract Analysis

The relation between the dual and the adjoint Radon transforms

Cnops, J. (1991)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0742.00067.]Let $P^{m}$ be the set of hyperplanes $σ : 〈 \vec{x}, \vec{θ} 〉 = p$ in $ℛ^{m}$ , $S^{m - 1}$ the unit sphere of $ℛ^{m}$ , $E^{m}$ the exterior of the unit ball, $T^{m}$ the set of hyperplanes not passing through the unit ball, $R f (\vec{θ}, p) = \int_{σ} f (\vec{x}) d \vec{x}$ the Radon transform, $R^{#} g (\vec{x}) = \int_{S^{m - 1}} g (\vec{θ}, 〈 \vec{x}, \vec{θ} 〉) d S_{\vec{θ}}$ its dual. $R$ as operator from $L^{2} (ℛ^{m})$ to $L^{2} (S^{m - 1)} \times ℛ)$ is a closable, densely defined operator, $R^{*}$ denotes the operator given by $(R^{*} g) (\vec{x}) = R^{#} g (\vec{x})$ if the integral exists for $\vec{x} \in ℛ^{m}$ a.e. Then the closure of $R^{*}$ is the adjoint of $R$ . The author shows that the Radon transform and its dual can be linked by two operators...

The short-time propagator and the boundary conditions in the quantum mechanics

Prešnajder, P., Pažma, V. (1987)

Proceedings of the 14th Winter School on Abstract Analysis

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