6533b836fe1ef96bd12a135a

RESEARCH PRODUCT

Ricci Tensors on Some Infinite Dimensional Lie Algebras

Shizan Fang

subject

Weyl tensorPure mathematicsRiemann curvature tensorCurvature of Riemannian manifoldsMathematical analysisRicci flowEinstein tensorsymbols.namesakeLanczos tensorsymbolsRicci decompositionMathematics::Differential GeometryRicci curvatureAnalysisMathematics

description

Abstract 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.

10.1006/jfan.1998.3344http://dx.doi.org/10.1006/jfan.1998.3344