Indefinite extrinsic symmetric spaces I

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Indefinite extrinsic symmetric spaces I

We find a one-to-one correspondence between full extrinsic symmetric spaces in (possibly degenerate) inner product spaces and certain algebraic objects called (weak) extrinsic symmetric triples. In particular, this yields a description of arbitrary extrinsic symmetric spaces in pseudo-Euclidean spaces by corresponding infinitesimal objects. MSC 2000: 53C50, 53C35, 53C40

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ژورنال

عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)

سال: 2011

ISSN: 0075-4102,1435-5345

DOI: 10.1515/crelle.2011.036