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Ricci Tensors on Some Infinite Dimensional Lie Algebras

โœ Scribed by Shizan Fang

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
161 KB
Volume
161
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

The Ricci tensor has been computed in several infinite dimensional situations. In this work, we shall be interested in the case of the central extension of loop groups and in the asymptotic behaviour of the Ricci tensor on free loop groups as the Riemannian metric varies.

1999 Academic Press

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Following S. Freed [Fr], the associated curvature form is not of the trace class but its two-step trace does exist. More precisely, let e 1 , ..., e d be

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