Article (Scientific journals)
Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations
Baudoin, Fabrice; Grong, Erlend; Kuwada, Kazumasa et al.
2019In Calculus of Variations and Partial Differential Equations, 58:130 (4), p. 1-38
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Abstract :
[en] We develop a variational theory of geodesics for the canonical variation of the metric of a totally geodesic foliation. As a consequence, we obtain comparison theorems for the horizontal and vertical Laplacians. In the case of Sasakian foliations, we show that sharp horizontal and vertical comparison theorems for the sub-Riemannian distance may be obtained as a limit of horizontal and vertical comparison theorems for the Riemannian distances approximations.
Disciplines :
Mathematics
Author, co-author :
Baudoin, Fabrice;  Department of Mathematics > University of Connecticut, USA
Grong, Erlend;  LSS-SUPÉLEC > Université Paris-Sud, France
Kuwada, Kazumasa;  Department of Mathematics, Graduate School of Science > Tohoku University, Japan
Thalmaier, Anton ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
yes
Language :
English
Title :
Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations
Publication date :
August 2019
Journal title :
Calculus of Variations and Partial Differential Equations
ISSN :
1432-0835
Publisher :
Springer, Germany
Volume :
58:130
Issue :
4
Pages :
1-38
Peer reviewed :
Peer Reviewed verified by ORBi
FnR Project :
FNR7628746 - Geometry Of Random Evolutions, 2014 (01/03/2015-28/02/2018) - Anton Thalmaier
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