Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Ahlfors regular

Sortuj według:

Ogranicz wyniki do:

Characterization of Low Dimensional RCD*(K, N) Spaces

100%

Kitabeppu Y., Lakzian S.

Analysis and Geometry in Metric Spaces

2016

tom 4

nr 1

In this paper,we give the characterization of metric measure spaces that satisfy synthetic lower Riemannian Ricci curvature bounds (so called RCD*(K, N) spaces) with non-empty one dimensional regular sets. In particular, we prove that the class of Ricci limit spaces with Ric ≥ K and Hausdorff dimension N and the class of RCD*(K, N) spaces coincide for N < 2 (They can be either complete intervals or circles). We will also prove a Bishop-Gromov type inequality (that is ,roughly speaking, a converse to the Lévy-Gromov’s isoperimetric inequality and was previously only known for Ricci limit spaces) which might be also of independent interest.

Ograniczanie wyników

1 Analysis and Geometry in Metric Spaces

1 Kitabeppu Y.

1 Lakzian S.

1 2016

Wyniki wyszukiwania

Characterization of Low Dimensional RCD*(K, N) Spaces