Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
40 (1999), S. 6701-6706
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
In this paper the concepts of almost Hermitian and Kählerian supermanifolds are introduced. Using the classical Newlander–Nirenberg theorm, it is shown that an almost complex structure J is integrable if it is compatible with ΔL, the supermanifold analog of the Levi-Civita connection. It is proved that an almost Hermitian supermanifold is Kählerian if and only if ΔL is compatible with J. © 1999 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.533116
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