Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
29 (1988), S. 1575-1579
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
GH∞ -de Witt supermanifolds were recently introduced by Rogers [Commun. Math. Phys. 105, 375 (1986)]. It is shown that these supermanifolds correspond to objects in a specified category of extended graded manifolds (subject only to the condition L〉2q), and some conclusions are drawn about their structure. In particular, it is shown that a GH∞ -de Witt supermanifold is always a vector bundle over its body. Finally it is shown that extended graded manifolds are always trivial extensions of ordinary graded manifolds. This means that all GH∞-de Witt supermanifolds are in fact H∞.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.527904
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