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Information Geometry of Poisson Kernels on Damek-Ricci Spaces

✍ Scribed by ITOH, Mitsuhiro; SATOH, Hiroyasu


Book ID
121818744
Publisher
Tokyo Journal of Mathematics
Year
2010
Tongue
English
Weight
139 KB
Volume
33
Category
Article
ISSN
0387-3870

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We shall establish in the context of adapted differential geometry on the path space P mo (M) a WeitzenbΓΆck formula which generalizes that in (A. B. Cruzeiro and P. Malliavin, J. Funct. Anal. 177 (2000), 219-253), without hypothesis on the Ricci tensor. The renormalized Ricci tensor will be vanished