Ostermayr, D. (2017). AUTOMORPHISM SUPERGROUPS OF SUPERMANIFOLDS. Transform. Groups, 22 (1). S. 229 - 259. NEW YORK: SPRINGER BIRKHAUSER. ISSN 1531-586X

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Abstract

A classical theorem states that the group of automorphisms of a manifold M preserving a G-structure of finite type is a Lie group. We generalize this statement to the category of cs manifolds and give some examples, some of which being generalizations of classical notions, others being particular to the super case. Notably, we have to introduce a new notion of supermanifolds which we call mixed supermanifolds.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Ostermayr, D.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-236914
DOI: 10.1007/S00031-016-9396-3
Journal or Publication Title: Transform. Groups
Volume: 22
Number: 1
Page Range: S. 229 - 259
Date: 2017
Publisher: SPRINGER BIRKHAUSER
Place of Publication: NEW YORK
ISSN: 1531-586X
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
RIEMANNIAN SUPERGEOMETRY; VECTOR-FIELDSMultiple languages
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/23691

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