Generalized supermanifolds. II. Analysis on superspaces
- 1 April 1984
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 25 (4) , 841-846
- https://doi.org/10.1063/1.526233
Abstract
The analysis on generalized superspaces is studied. G-differentiability of functions and indetermination of partial G-derivatives are treated in detail. A canonical expansion for supersmooth functions and a particular choice of partial G-derivatives are given, and their properties studied. Existence of (nonanalytic) G∞ -functions is proved.Keywords
This publication has 3 references indexed in Scilit:
- Generalized supermanifolds. I. Superspaces and linear operatorsJournal of Mathematical Physics, 1984
- Superspaces and supersymmetriesCommunications in Mathematical Physics, 1981
- A global theory of supermanifoldsJournal of Mathematical Physics, 1980