Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Lakzian Sajjad"'
Autor:
Lakzian Sajjad, Munn Michael
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 9, Iss 1, Pp 120-159 (2021)
In this article, we study the Ricci flow neckpinch in the context of metric measure spaces. We introduce the notion of a Ricci flow metric measure spacetime and of a weak (refined) super Ricci flow associated to convex cost functions (cost functions
Externí odkaz:
https://doaj.org/article/81274ec2bc4b4a40bd185574b4831e8a
Autor:
Lakzian Sajjad, Mcguirk Zachary
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 6, Iss 1, Pp 32-47 (2018)
We introduce and study the conical curvature-dimension condition, CCD(K, N), for finite graphs.We show that CCD(K, N) provides necessary and sufficient conditions for the underlying graph to satisfy a sharp global Poincaré inequality which in turn t
Externí odkaz:
https://doaj.org/article/36182a143b1a41e8aa3af1a2b8d3f8f1
We discuss topological rigidity of vector bundles with asymptotically conical (AC) total spaces of rank greater than 1 with a sufficiently connected link; our focus will mainly be on ALE (asymptotically locally Euclidean) bundles. Within the smooth c
Externí odkaz:
http://arxiv.org/abs/2305.04283
Autor:
Kitabeppu Yu, Lakzian Sajjad
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 4, Iss 1 (2016)
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 Ri
Externí odkaz:
https://doaj.org/article/1404584930e0429d90625b4823260681
Autor:
Lakzian Sajjad, Munn Michael
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 2, Iss 1 (2014)
In this paper we consider compact, Riemannian manifolds M1, M2 each equipped with a oneparameterfamily of metrics g1(t), g2(t) satisfying the Ricci flow equation. Adopting the characterization ofsuper-solutions to the Ricci flow developed by McCann-T
Externí odkaz:
https://doaj.org/article/de87bcd3fcfb41289a9a2f436ec13152
Autor:
Fathi, Zohreh, Lakzian, Sajjad
We analyze both continuous and discrete-time Ollivier-Ricci curvatures of locally-finite weighted graphs $\G$ equipped with a given distance "$\dist$" (w.r.t. which $\G$ is metrically complete) and for general random walks. We show the continuous-tim
Externí odkaz:
http://arxiv.org/abs/2203.16837
Publikováno v:
Nonlinear Analysis 228 (2023)
We extend the celebrated rigidity of the sharp first spectral gap under $Ric\ge0$ to compact infinitesimally Hilbertian spaces with non-negative (weak, also called synthetic) Ricci curvature and bounded (synthetic) dimension i.e. to so-called compact
Externí odkaz:
http://arxiv.org/abs/2110.05045
Autor:
Lakzian, Sajjad, Munn, Michael
In this article, we study the Ricci flow neckpinch in the context of metric measure spaces. We introduce the notion of a Ricci flow metric measure spacetime and of a weak (refined) super Ricci flow associated to convex cost functions (cost functions
Externí odkaz:
http://arxiv.org/abs/2008.10508
Autor:
Fathi, Zohreh, Lakzian, Sajjad
We introduce a notion of doubly warped product of weighted graphs that is consistent with the doubly warped product in the Riemannian setting. We establish various discrete Bakry-\'Emery Ricci curvature-dimension bounds for such warped products in te
Externí odkaz:
http://arxiv.org/abs/1904.04134
Autor:
Breiner, Christine, Lakzian, Sajjad
We determine bubble tree convergence for a sequence of harmonic maps, with uniform energy bounds, from a compact Riemann surface into a compact locally CAT(1) space. In particular, we demonstrate energy quantization and the no-neck property for such
Externí odkaz:
http://arxiv.org/abs/1802.08905