Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Maximo, Davi"'
We obtain topological obstructions to the existence of a complete Riemannian metric with uniformly positive scalar curvature on certain (non-compact) $4$-manifolds. In particular, such a metric on the interior of a compact contractible $4$-manifold u
Externí odkaz:
http://arxiv.org/abs/2407.05574
Autor:
Máximo, Davi, Stufflebeam, Hunter
We prove that strictly convex 2-spheres, all of whose simple closed geodesics are close in length to 2{\pi}, are C^0 Cheeger-Gromov close to the round sphere.
Comment: V2: 18 pages. Added 7 figures, expanded exposition and background, corrected
Comment: V2: 18 pages. Added 7 figures, expanded exposition and background, corrected
Externí odkaz:
http://arxiv.org/abs/2312.13995
Autor:
Maximo, Davi, Pallete, Franco Vargas
We study framed surfaces, which are a class of Euclidean minimal and hyperbolic CMC-1 surfaces that generalize immersed minimal surfaces in $\mathbb{R}^3$ and Bryant surfaces. For this class we prove a lower bound on the (unrestricted) Morse index by
Externí odkaz:
http://arxiv.org/abs/2309.05742
Autor:
Liokumovich, Yevgeny, Maximo, Davi
We construct singular foliations of compact three-manifolds $(M^3,h)$ with scalar curvature $R_h\geq \Lambda_0>0$ by surfaces of controlled area, diameter and genus. This extends Urysohn and waist inequalities of Gromov-Lawson and Marques-Neves.
Externí odkaz:
http://arxiv.org/abs/2012.12478
Autor:
Maximo, Davi
For any closed Riemannian three-manifold, we prove that for any sequence of closed embedded minimal surfaces with uniformly bounded index, the genus can only grow at most linearly with respect to the area.
Externí odkaz:
http://arxiv.org/abs/1812.10728
Autor:
Chodosh, Otis, Maximo, Davi
For an immersed minimal surface in $\mathbb{R}^3$, we show that there exists a lower bound on its Morse index that depends on the genus and number of ends, counting multiplicity. This improves, in several ways, an estimate we previously obtained boun
Externí odkaz:
http://arxiv.org/abs/1808.06572
Publikováno v:
Invent. Math., Vol. 209, No. 3, pp. 617--664 (2017)
We prove a structural theorem that provides a precise local picture of how a sequence of closed embedded minimal hypersurfaces with uniformly bounded index (and volume if the ambient dimension is greater than three) in a Riemannian manifold of dimens
Externí odkaz:
http://arxiv.org/abs/1509.06724
Autor:
Bamler, Richard H., Maximo, Davi
We prove that Ricci flows with almost maximal extinction time must be nearly round, provided that they have positive isotropic curvature when crossed with $\mathbb{R}^{2}$. As an application, we show that positively curved metrics on $S^{3}$ and $RP^
Externí odkaz:
http://arxiv.org/abs/1506.03421
Publikováno v:
Geom. Topol. 20 (2016) 2905-2922
We prove that the space of smooth Riemannian metrics on the three-ball with non-negative Ricci curvature and strictly convex boundary is path connected; and, moreover, that the associated moduli space (i.e., modulo orientation-preserving diffeomorphi
Externí odkaz:
http://arxiv.org/abs/1505.06789
Autor:
Chodosh, Otis, Maximo, Davi
We show that for an immersed two-sided minimal surface in $R^3$, there is a lower bound on the index depending on the genus and number of ends. Using this, we show the nonexistence of an embedded minimal surface in $R^3$ of index $2$, as conjectured
Externí odkaz:
http://arxiv.org/abs/1405.7356