Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations

Reference : Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/31846

Title :	Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations
Language :	English
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 >]
Publication date :	Aug-2019
Journal title :	Calculus of Variations and Partial Differential Equations
Publisher :	Springer
Volume :	58:130
Issue/season :	4
Pages :	1-38
Peer reviewed :	Yes
Audience :	International
ISSN :	0944-2669
e-ISSN :	1432-0835
Country :	Germany
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.
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/31846
DOI :	10.1007/s00526-019-1570-8
Other URL :	http://arxiv.org/abs/1706.08489
FnR project :	FnR ; FNR7628746 > Anton Thalmaier > GEOMREV > Geometry Of Random Evolutions > 01/03/2015 > 28/02/2018 > 2014

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