Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Sasin Wiesław"'
Autor:
Falkiewicz Ewa, Sasin Wiesław
Publikováno v:
Demonstratio Mathematica, Vol 50, Iss 1, Pp 28-41 (2017)
Inspired by the work of Heller and Sasin [1], we construct in this paper Weil homomorphism in a locally free sheaf W of ϕ-fields [2] over a structured space. We introduce the notion of G-consistent, linear connection on this sheaf, what allows us to
Externí odkaz:
https://doaj.org/article/f9fec90de868424386d70259ff15454a
Publikováno v:
Demonstratio Mathematica, Vol 47, Iss 2, Pp 289-299 (2014)
One of the pressing problems in mathematical physics is to find a generalized Poincaré symmetry that could be applied to nonflat space-times. As a step in this direction, we define the semidirect product of groupoids Γ0 ⋊ Γ1 and investigate its
Externí odkaz:
https://doaj.org/article/d400b33aa2dd470eb7ef908f5badcdb4
According to the basic idea of category theory, any Einstein algebra, essentially an algebraic formulation of general relativity, can be considered from the point of view of any object of the category of smooth algebras; such an object is then called
Externí odkaz:
http://arxiv.org/abs/2210.13926
Autor:
Pysiak Leszek, Sasin Wiesław
Publikováno v:
Demonstratio Mathematica, Vol 50, Iss 1, Pp 1-1 (2017)
Externí odkaz:
https://doaj.org/article/2872612d3a0e4f0d8e3af672eea0660c
Publikováno v:
Rep. Math. Phys. 2020 85(3), 443-454
We generalize the differential space concept as a tool for developing differential geometry, and enrich this geometry with infinitesimals that allow us to penetrate into the superfine structure of space. This is achieved by Yoneda embedding a ring of
Externí odkaz:
http://arxiv.org/abs/1910.05581
Publikováno v:
In Reports on Mathematical Physics August 2023 92(1):59-74
Publikováno v:
In Reports on Mathematical Physics June 2020 85(3):443-454
It is shown that the differential geometry of space-time, can be expressed in terms of the algebra of operators on a bundle of Hilbert spaces. The price for this is that the algebra of smooth functions on space-time has to be made noncommutative. The
Externí odkaz:
http://arxiv.org/abs/1207.0601
One of pressing problems in mathematical physics is to find a generalized Poincar\'e symmetry that could be applied to nonflat space-times. As a step in this direction we define the semidirect product of groupoids $\Gamma_0 \rtimes \Gamma_1$ and inve
Externí odkaz:
http://arxiv.org/abs/1107.1775
Real valued homomorphisms on the algebra of smooth functions on a differential space are described. The concept of generators of this algebra is emphasized in this description.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/1103.3597