Paper Status Tracking
Contact us
[email protected]
Click here to send a message to me 3275638434
Paper Publishing WeChat

Article
Affiliation(s)

Institute of Mathematics, University of Białystok Akademicka 2, 15-267 Białystok, Poland.

ABSTRACT

The basic properties and some examples of the differential groupoids are studied.

KEYWORDS

Differential space, groupoid.

Cite this paper

References

[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.

About | Terms & Conditions | Issue | Privacy | Contact us
Copyright © 2001 - David Publishing Company All rights reserved, www.davidpublisher.com
3 Germay Dr., Unit 4 #4651, Wilmington DE 19804; Tel: 001-302-3943358 Email: [email protected]