dc.contributor.author | Nardulli, Stefano | |
dc.contributor.author | Russo, Francesco G. | |
dc.date.accessioned | 2021-10-18T13:02:05Z | |
dc.date.available | 2021-10-18T13:02:05Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Nardulli, S., & Russo, F. G. (2021). On the Hamilton’s isoperimetric ratio in complete Riemannian manifolds of finite volume. Journal of Functional Analysis, 280(4), 108843. https://doi.org/10.1016/j.jfa.2020.108843 | en_US |
dc.identifier.issn | 0022-1236 | |
dc.identifier.uri | 10.1016/j.jfa.2020.108843 | |
dc.identifier.uri | http://hdl.handle.net/10566/6927 | |
dc.description.abstract | We study a family of geometric variational functionals
introduced by Hamilton, and considered later by Daskalopulos,
Sesum, Del Pino and Hsu, in order to understand the
behavior of maximal solutions of the Ricci flow both in
compact and noncompact complete Riemannian manifolds
of finite volume. The case of dimension two has some
peculiarities, which force us to use different ideas from
the corresponding higher-dimensional case. Under some
natural restrictions, we investigate sufficient and necessary
conditions which allow us to show the existence of connected
regions with a connected complementary set (the so-called
“separating regions”). In dimension higher than two, the
associated problem of minimization is reduced to an auxiliary
problem for the isoperimetric profile (with the corresponding
investigation of the minimizers). | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier | en_US |
dc.subject | Riemannian manifolds | en_US |
dc.subject | Ricci flow | en_US |
dc.subject | Finite perimeter convergence | en_US |
dc.subject | Geometric | en_US |
dc.title | On the Hamilton’s isoperimetric ratio in complete Riemannian manifolds of finite volume | en_US |
dc.type | Article | en_US |