[email protected] | |
3275638434 | |
Paper Publishing WeChat |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Małgorzata Burzyńska and Zbigniew Pasternak-Winiarski
Full-Text PDF XML 949 Views
DOI:10.17265/2159-5291/2015.01.005
Institute of Mathematics, University of Białystok Akademicka 2, 15-267 Białystok, Poland.
The basic properties and some examples of the differential groupoids are studied.
Differential space, groupoid.
[1] D. Dziewa-Dawidczyk, Z. Pasternak - Winiarski, Uniform structures on differential spaces, arXiv:1103.2799, 2011.
[2] P. Multarzyński and Z. Pasternak - Winiarski, Differential groups and their Lie algebras, Demonstratio Math. 24 (1991), 515-537.
[3] Z. Pasternak - Winiarski, Differential groups of class Do and standard charts, Demonstratio Math. 16 No 2 (1983), 503-517.
[4] L. Pysiak, Imprimitivity theorem for groupoid representations, Demonstratio Math. 44 (2011), 29-48.
[5] A. Weinstein, Groupoids: unifying internal and external geometry, Contemporary Math. 282, (2001), 1-19.
[6] R. Sikorski, Introduction to differential geometry, PWN, Warsaw 1972 (in polish).
[7] A.C. da Silva, A. Weinstein, Geometric models for noncommutative algebras, Providence, R.I. : American Mathematical Society 1999.
[8] Z. Pasternak -Winiarski, Group differential structures and their basic properties (doctor thesis - in polish), Warsaw University of Technology, Warsaw 1981.
[9] Z. Pasternak - Winiarski, On some differential structure defined by actions of groups, Proceedings of the Conference on Differential Geometry and Its Applications, part Differential Geometry, Nove Mesto na Morave, Czechoslovakia (1983), 105-115.
[10] Z. Pasternak - Winiarski, Differential groups of class Do, Proceedings of the Conference ”Convergence Structures and Applications”, Abhandlungen der Akademie der Wissenschaften der DDR, Abteilung Mathematik-Naturwissenschaften-Technik, No 2N (1984), 173-176.
[11] D. Dziewa-Dawidczyk, Z. Pasternak - Winiarski, Differential structures on natural bundles connected with a differential space, in ”Singularities and Symplectic Geometry VII” Singularity Theory Seminar (2007), S. Janeczko (ed), Faculty of Mathematics and Information Science, Warsaw University of Technology.