Needle Decompositions in Riemannian Geometry

Bo'az Klartag (Autor)

Buch | Softcover

77 Seiten

2017
American Mathematical Society (Verlag)
978-1-4704-2542-5 (ISBN)

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The localization technique from convex geometry is generalized to the setting of Riemannian manifolds whose Ricci curvature is bounded from below. 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.

Bo'az Klartag, Tel Aviv University, Israel.

Introduction
Regularity of geodesic foliations
Conditioning a measure with respect to a geodesic foliation
The Monge-Kantorovich problem
Some applications
Further research
Appendix: The Feldman-McCann proof of Lemma 2.4.1
Bibliography.

Erscheinungsdatum	12.10.2017
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	180 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-2542-4 / 1470425424
ISBN-13	978-1-4704-2542-5 / 9781470425425
Zustand	Neuware