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On the compactification of configuration spaces

Markl, Martin, Stasheff, James D. (1998)

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

The article contains a list of 7 problems related to operads and configuration spaces. Problems 1-2 are about the compactification of configuration spaces (homology and Koszulness, geometric decompositions). Problems 3-4 are about configuration spaces related to knot invariants, their geometry and Koszulness. Problems 5 to 7 are related to (operadically defined) traces and cyclic homology.

On the computation of moments of the partial non-central χ -square distribution function

Gil, Amparo, Segura, Javier, Temme, Nico C. (2013)

Applications of Mathematics 2013

Properties satisfied by the moments of the partial non-central χ -square distribution function, also known as Nuttall Q-functions, and methods for computing these moments are discussed in this paper. The Nuttall Q-function is involved in the study of a variety of problems in different fields, as for example digital communications.

On the computational identification of temperature-variable characteristics of heat transfer

Vala, Jiří (2013)

Applications of Mathematics 2013

The mathematical analysis of a heat equation and its solutions is a standard part of most textbook of applied mathematics and computational mechanics. However, serious problems from engineering practice do not respect formal simplifications of such analysis, namely at high temperatures, for phase-change materials, etc. This paper, motivated by the material design and testing of a high-temperature thermal accumulator, as a substantial part of the Czech-Swedish project of an original equipment for...

On the conformal relation between twistors and Killing spinors

Friedrich, Thomas (1990)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0699.00032.] The author considers the conformal relation between twistors and spinors on a Riemannian spin manifold of dimension n 3 . A first integral is constructed for a twistor spinor and various geometric properties of the spin manifold are deduced. The notions of a conformal deformation and a Killing spinor are considered and such a deformation of a twistor spinor into a Killing spinor and conditions for the equivalence of these quantities is indicated.

On the conformal theory of Ichijyō manifolds

Szakál, Sz. (2002)

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

Some special linear connection introduced in the Finsler space by Ichijyō has the property that the curvature tensors under conformal changes remain invariant. Two Ichijyō manifolds ( M , E , ) and ( M , E ¯ , ¯ ) are said to be conformally equivalent if E ¯ = ( exp σ v ) E , σ C ( M ) .It is proved, that in this case, the following assertions are equivalent: 1. σ is constant, 2. h = h ¯ , 3. S = S ¯ , 4. t = t ¯ .It is also proved (when the above conditions are satisfied) that1. If ( M , E , ) is a generalized Berwald manifold, then ( M , E ¯ , ¯ ) is also a generalized Berwald manifold.2....

On the flux homomorphism for regular Poisson manifolds

Rybicki, Tomasz (1998)

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

Author’s abstract: “We introduce the concept of the flux homomorphism for regular Poisson manifolds. First we establish a one-to-one correspondence between Poisson diffeomorphisms close to i d and closed foliated 1-forms close to 0. This allows to show that the group of Poisson automorphisms is locally contractible and to define the flux locally. Then, by means of the foliated cohomology, we extend this local homomorphism to a global one”.

Currently displaying 961 – 980 of 1552