Reference : Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/31846
Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations
English
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 mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Aug-2019
Calculus of Variations and Partial Differential Equations
Springer
58:130
4
1-38
Yes
International
0944-2669
1432-0835
Germany
[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.
Researchers
http://hdl.handle.net/10993/31846
10.1007/s00526-019-1570-8
http://arxiv.org/abs/1706.08489
FnR ; FNR7628746 > Anton Thalmaier > GEOMREV > Geometry Of Random Evolutions > 01/03/2015 > 28/02/2018 > 2014

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