Reference : Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/18110
Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations: Part I
English
Grong, Erlend mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Thalmaier, Anton mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2016
Mathematische Zeitschrift
Springer
282
1
99-130
Yes
International
0025-5874
1432-1823
Berlin
Germany
[en] We give a generalized curvature-dimension inequality connecting the geometry of sub-Riemannian manifolds with the properties of its sub-Laplacian. This inequality is valid on a large class of sub-Riemannian manifolds obtained from Riemannian foliations. We give a geometric interpretation of the invariants involved in the inequality. Using this inequality, we obtain a lower bound for the eigenvalues of the sub-Laplacian. This inequality also lays the foundation for proving several powerful results in Part II.
Researchers ; Professionals
http://hdl.handle.net/10993/18110
10.1007/s00209-015-1534-4
http://front.math.ucdavis.edu/1408.6873

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
GrongThalmaierPart1.pdfAuthor preprint386.53 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.