A metric characterization of manifolds with boundary
Conrad Plaut (1992)
Compositio Mathematica
Similarity:
Conrad Plaut (1992)
Compositio Mathematica
Similarity:
Kaewcharoen, A., Kirk, W.A. (2006)
Abstract and Applied Analysis
Similarity:
Tadeusz Rzeżuchowski (2012)
Open Mathematics
Similarity:
We describe some known metrics in the family of convex sets which are stronger than the Hausdorff metric and propose a new one. These stronger metrics preserve in some sense the facial structure of convex sets under small changes of sets.
Sosov, E.N. (2001)
Lobachevskii Journal of Mathematics
Similarity:
P. Mankiewicz (1976)
Studia Mathematica
Similarity:
Borkowski, Marcin, Bugajewski, Dariusz, Phulara, Dev (2010)
Fixed Point Theory and Applications [electronic only]
Similarity:
Dontsov, V. V. (2000)
Zapiski Nauchnykh Seminarov POMI
Similarity:
Davis, Michael W., Okun, Boris, Zheng, Fangyang (1999)
Geometry & Topology
Similarity:
A. Berard, W. Nitka (1974)
Fundamenta Mathematicae
Similarity:
Gelişgen, Özcan, Kaya, Rüstem (2006)
APPS. Applied Sciences
Similarity:
Zhu, Xiaodong, Bonahon, Francis (2004)
Geometry & Topology
Similarity:
Anca-Iuliana Bonciocat (2014)
Open Mathematics
Similarity:
We introduce and study a rough (approximate) curvature-dimension condition for metric measure spaces, applicable especially in the framework of discrete spaces and graphs. This condition extends the one introduced by Karl-Theodor Sturm, in his 2006 article On the geometry of metric measure spaces II, to a larger class of (possibly non-geodesic) metric measure spaces. The rough curvature-dimension condition is stable under an appropriate notion of convergence, and stable under discretizations...
A. Tayebi, H. Sadeghi (2015)
Annales Polonici Mathematici
Similarity:
We study one of the open problems in Finsler geometry presented by Matsumoto-Shimada in 1977, about the existence of a concrete P-reducible metric, i.e. one which is not C-reducible. In order to do this, we study a class of Finsler metrics, called generalized P-reducible metrics, which contains the class of P-reducible metrics. We prove that every generalized P-reducible (α,β)-metric with vanishing S-curvature reduces to a Berwald metric or a C-reducible metric. It follows that there...