Article (Scientific journals)
Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations: Part I
GRONG, Erlend; THALMAIER, Anton
2016In Mathematische Zeitschrift, 282 (1), p. 99-130
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Abstract :
[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.
Disciplines :
Mathematics
Author, co-author :
GRONG, Erlend ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
THALMAIER, Anton ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations: Part I
Publication date :
2016
Journal title :
Mathematische Zeitschrift
ISSN :
0025-5874
eISSN :
1432-1823
Publisher :
Springer, Berlin, Germany
Volume :
282
Issue :
1
Pages :
99-130
Peer reviewed :
Peer Reviewed verified by ORBi
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