TY  - JOUR
AB  - A leafwise Hodge decomposition was proved by Sanguiao for Riemannian foliations of bounded geometry. Its proof is explained again in terms of our study of bounded geometry for Riemannian foliations. It is used to associate smoothing operators to foliated flows, and describe their Schwartz kernels. All of this is extended to a leafwise version of the Novikov differential complex.
AU  - Alvarez López, Jesús A.
AU  - Kordyukov, Yuri A.
AU  - Leichtnam, Éric
DA  - 2020
DO  - 10.17879/90169672719
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 221
N1  - The authors were partially supported by FEDER/Ministerio de Ciencia, Innovaci´on y Universidades/AEI/MTM2017-89686-P and MTM2014-56950-P, and Xunta de Galicia/2015 GPC GI-1574 and ED431C 2019/10. The second author is partially supported by the RFBR grant 16-01-00312.
PY  - 2020
SP  - 221-265
T2  - Münster Journal of Mathematics
TI  - Analysis on Riemannian foliations of bounded geometry
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-90169675858
Y2  - 2024-11-22T02:34:08
ER  -