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Displaying 221 – 240 of 383

Natural transformations of Weil functors into bundle functors

Mikulski, Włodzimierz M. (1990)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0699.00032.] Natural transformations of the Weil functor $T^{A}$ of A-velocities [I. Kolař, Commentat. Math. Univ. Carol. 27, 723-729 (1986; Zbl 0603.58001)] into an arbitrary bundle functor F are characterized. In the case where F is a linear bundle functor, the author deduces that the dimension of the vector space of all natural transformations of $T^{A}$ into F is finite and is less than or equal to $dim (F_{0} ℛ^{k})$ . The spaces of all natural transformations of Weil functors into linear...

Necessary conditions for local convexifiability of pseudoconvex domains in $ℂ^{2}$

Kolář, Martin (2002)

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

New boson realizations of quantum groups $U_{q} (A_{n})$

Burdík, Č., Navrátil, O. (2000)

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

Nilpotent spacelike Jordan Osserman pseudo-Riemannian manifolds

Gilkey, P., Nikčević, S. (2004)

Proceedings of the 23rd Winter School "Geometry and Physics"

Noether‘s variational theorem II and the BV formalism

Fulp, Ron, Lada, Tom, Stasheff, Jim (2003)

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

Nonclassical descriptions of analytic cohomology

Bailey, Toby N., Eastwood, Michael G., Gindikin, Simon G. (2003)

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

Summary: There are two classical languages for analytic cohomology: Dolbeault and Čech. In some applications, however (for example, in describing the Penrose transform and certain representations), it is convenient to use some nontraditional languages. In [M. G. Eastwood, S. G. Gindikin and H.-W. Wong, J. Geom. Phys. 17, 231-244 (1995; Zbl 0861.22009)] was developed a language that allows one to render analytic cohomology in a purely holomorphic fashion.In this article we indicate a more general...

Note on Stieffel-Whitney classes of flag manifolds

Korbaš, Július (1987)

Proceedings of the Winter School "Geometry and Physics"

Notes on conformal differential geometry

Eastwood, Michael (1996)

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

This survey paper presents lecture notes from a series of four lectures addressed to a wide audience and it offers an introduction to several topics in conformal differential geometry. In particular, a very nice and gentle introduction to the conformal Riemannian structures themselves, flat or curved, is presented in the beginning. Then the behavior of the covariant derivatives under the rescaling of the metrics is described. This leads to Penrose’s local twistor transport which is introduced in...

On 4-planar mapping of special almost antiquaternionic spaces

Bělohlávková, Jana, Mikeš, Josef, Pokorná, Olga (2001)

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

On a class of polynomial Lagrangians

Palese, Marcella, Vitolo, Raffaele (2001)

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

On a construction connecting Lie algebras with general algebras

Michor, Peter W., Ruppert, W., Wegenkittl, K. (1989)

Proceedings of the Winter School "Geometry and Physics"

On a distinguished class of infinite dimensional representations of $𝔰 𝔭 (2 n, ℂ)$

Krýsl, Svatopluk (2005)

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

On admissible groups of diffeomorphisms

Rybicki, Tomasz (1997)

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

The phenomenon of determining a geometric structure on a manifold by the group of its automorphisms is a modern analogue of the basic ideas of the Erlangen Program of F. Klein. The author calls such diffeomorphism groups admissible and he describes them by imposing some axioms. The main result is the followingTheorem. Let $(M_{i}, α_{i})$ , $i = 1, 2$ , be a geometric structure such that its group of automorphisms $G (M_{i}, α_{i})$ satisfies either axioms 1, 2, 3 and 4, or axioms 1, 2, 3’, 4, 5, 6 and 7, and $M_{i}$ is compact, or axioms 1, 2,...

On almost geodesic mappings of the type $π_{1}$ of Riemannian spaces preserving a system $n$ -orthogonal hypersurfaces

Berezovskij, Vladimir, Mikeš, Josef (1999)

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

On almost geodesic mappings $π_{2} (e)$ onto Riemannian spaces

Mikeš, Josef, Pokorná, Olga, Starko, Galina (2004)

Proceedings of the 23rd Winter School "Geometry and Physics"

On boundary value problem of Neumann type for hypercomplex function with values in a Clifford algebra

Xu, Zhenyuan (1990)

Proceedings of the Winter School "Geometry and Physics"

On certain class of unitarizable representations of the Lie algebra $u (p, q)$

Molev, A. I. (1991)

Proceedings of the Winter School "Geometry and Physics"

On compact non-Kählerian manfolds admitting an almost Kähler structure

Holubowicz, Ryszard, Mozgawa, Witold (1998)

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

On $𝒞$ -conformal changes of Riemann-Finsler metrics

Vincze, Cs. (1999)

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

On cotangent bundles of some natural bundles

Kolář, Ivan (1994)

Proceedings of the Winter School "Geometry and Physics"

The author studies relations between the following two types of natural operators: 1. Natural operators transforming vector fields on manifolds into vector fields on a natural bundle $F$ ; 2. Natural operators transforming vector fields on manifolds into functions on the cotangent bundle of $F$ . It is deduced that under certain assumptions on $F$ , all natural operators of the second type can be constructed through those of the first one.

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