Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Yu Kitabeppu"'
Autor:
Yu Kitabeppu, Erina Matsumoto
Publikováno v:
Tohoku Mathematical Journal. 75
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9bce4b9a265bc91aeef005a5e5de48a
https://doi.org/10.2748/tmj.20211202
https://doi.org/10.2748/tmj.20211202
Publikováno v:
Nonlinear Analysis. 228:113202
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59b490ddb1119d1eccdad87b18907803
https://doi.org/10.1016/j.na.2022.113202
https://doi.org/10.1016/j.na.2022.113202
Autor:
Yu Kitabeppu
Publikováno v:
Potential Analysis. 51:179-196
In this paper, we study regular sets in metric measure spaces with Ricci curvature bounded from below. We prove that the existence of a point in the regular set of the highest dimension implies the positivity of the measure of such regular set. Also
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2f34034cec8b102ec10078169eb086d
https://doi.org/10.1007/s11118-018-9708-4
https://doi.org/10.1007/s11118-018-9708-4
Autor:
Yu Kitabeppu
Publikováno v:
Proceedings of the American Mathematical Society. 145:3137-3151
We define a Bishop-type inequality on metric measure spaces with Riemannian curvature-dimension condition. The main result in this short article is that any R C D RCD spaces with the Bishop-type inequalities possess only one regular set in not only t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9a6a7438348d602c93270cf1360ebbe3
https://doi.org/10.1090/proc/13517
https://doi.org/10.1090/proc/13517
Autor:
Yu Kitabeppu
Publikováno v:
Mathematische Zeitschrift. 283:895-907
We prove a finite diameter theorem on $${ RCD }(K,\infty )$$ spaces with a reasonable condition of the heat distributions. The self-improving property of the Bakry–Emery condition proven by Savare plays a key role in the proof.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4350a9849c10641d011c2148b5588fef
https://doi.org/10.1007/s00209-016-1626-9
https://doi.org/10.1007/s00209-016-1626-9
Autor:
Sajjad Lakzian, Yu Kitabeppu
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 \emph{non-empty} one dimensional regular sets. In particular, we prove that the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5e6e784edde8d771763ba0dcd2a46af
https://doi.org/10.1515/agms-2016-0007
https://doi.org/10.1515/agms-2016-0007
Autor:
Sajjad Lakzian, Yu Kitabeppu
In this paper, we generalize the finite generation result of Sormani to non-branching $RCD(0,N)$ geodesic spaces (and in particular, Alexandrov spaces) with full support measures. This is a special case of the Milnor's Conjecture for complete non-com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71d0d9557540fca4ac4295ac34c268e3
http://arxiv.org/abs/1405.0897
http://arxiv.org/abs/1405.0897
Autor:
Yu Kitabeppu
We prove that a Bishop-Gromov inequality gives a lower bound of coarse Ricci curvature. We also have an estimate of the eigenvalues of the Laplacian by a lower bound of coarse Ricci curvature.
8 pages, with 2 figures
8 pages, with 2 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f57c55165919b92472d263b61859f4a
http://arxiv.org/abs/1112.5820
http://arxiv.org/abs/1112.5820