Abstract :
For all metric Hs with s>1/2, the heat measures on free loop groups have been constructed by P. Malliavin. The geometric stochastic analysis is well developed. The metric H1/2 is critical and involves naturally in Mathematical Physics. The Ricci tensors Rics play the fundamental role in these situations. In this note, we shall study the behaviour of Rics as s↓1/2.
