TY  - BOOK
AU  - Klartag,Bo'az
TI  - Needle decompositions in Riemannian geometry
T2  - Memoirs of the American Mathematical Society
SN  - 9781470425425 (alk. paper)
U1  - 510 23
PY  - 2017///
CY  - Providence : 
PB  - American Mathematical Society
KW  - Curvature
KW  - Decomposition (Mathematics)
KW  - Riemannian geometry
N1  - Includes bibliographical references; 1. Introduction --
2. Regularity of geodesic foliations --
3. Conditioning a measure with respect to a geodesic foliation --
4. The Monge-Kantorovich problem --
5. Some applications --
6. Further research --
Appendix: The Feldman-McCann proof of Lemma 2.4.1 
Bibliography
N2  - In a nutshell, the author's method is based on the following observation: When the Ricci curvature is non-negative, log-concave measures are obtained when conditioning the Riemannian volume measure with respect to a geodesic foliation that is orthogonal to the level sets of a Lipschitz function. The Monge mass transfer problem plays an important role in the author's analysis
ER  -