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pro vyhledávání: '"Navarro, Dimitri"'
Understanding the relationships between geometry and topology is a central theme in Riemannian geometry. We establish two results on the fundamental groups of open (complete and noncompact) $n$-manifolds with nonnegative Ricci curvature and linear vo
Externí odkaz:
http://arxiv.org/abs/2410.15488
Autor:
Navarro, Dimitri
This paper focuses on RCD(0,2)-spaces, which can be thought of as possibly non-smooth metric measure spaces with non-negative Ricci curvature and dimension less than 2. First, we establish a list of the compact topological spaces admitting an RCD(0,2
Externí odkaz:
http://arxiv.org/abs/2202.06659
Autor:
Mondino, Andrea, Navarro, Dimitri
Publikováno v:
Math. Ann. (2022)
The goal of the paper is to set the foundations and prove some topological results about moduli spaces of non-smooth metric measure structures with non-negative Ricci curvature in a synthetic sense (via optimal transport) on a compact topological spa
Externí odkaz:
http://arxiv.org/abs/2202.00544
Autor:
Mondino, Andrea, Navarro, Dimitri
Publikováno v:
Mathematische Annalen; Dec2023, Vol. 387 Issue 3/4, p1435-1480, 46p