6533b86ffe1ef96bd12cd420
RESEARCH PRODUCT
Integration by parts for heat measures over loop groups
Shizan Fangsubject
Loop (topology)AlgebraMathematics(all)Unimodular matrixApplied MathematicsGeneral MathematicsLoop groupMetric (mathematics)Lie algebraLie groupIntegration by partsRicci curvatureMathematicsdescription
Abstract The formula of integration by parts for heat measures over a loop group established by B. Driver is revesited through an alternative approach to this result. We shall first establish directly the integration by parts formula over an unimodular Lie group (which will be the finite product of a compact Lie group with a correlated metric), using the concept of tangent processes. A new expression for Ricci tensor will enable us the passage to the limit.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-11-01 | Journal de Mathématiques Pures et Appliquées |