Zobrazeno 1 - 10
of 93
pro vyhledávání: '"Bessa, G. Pacelli"'
In this paper, we prove gap results for complete self-shrinkers of the $r$-mean curvature flow involving a modified second fundamental form. These results extend previous results for self-shrinkers of the mean curvature flow due to Cao-Li and Cheng-P
Externí odkaz:
http://arxiv.org/abs/2402.09627
We show that submanifolds with infinite mean exit time can not be isometrically and minimally immersed into cylinders, horocylinders, cones, and wedges of some product spaces. Our approach is not based on the weak maximum principle at infinity, and t
Externí odkaz:
http://arxiv.org/abs/2307.09716
Autor:
Barbosa, João L. M., Bessa, G. Pacelli
Consider a surface $M^2$ with Gaussian curvature either $< 0$ or $> 0$. We prove that in $M^2\times \mathbb{R}^n$ cylinders are characterized as the hypersurfaces with both the extrinsic and intrinsic curvatures equal to zero.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/2203.02373
In this paper we investigate the intersection problem for $1$-surfaces immersed in a complete Riemannian three-manifold $P$ with Ricci curvature bounded from below by $-2$. We first prove a Frankel's type theorem for $1$-surfaces with bounded curvatu
Externí odkaz:
http://arxiv.org/abs/2202.04189
We give upper bounds for the bottom of the essential spectrum of properly immersed minimal submanifolds of $\mathbb{R}^{n}$ in terms of their volume growth. Our result improves the extrinsic version of Brook's essential spectrum estimate given by Ili
Externí odkaz:
http://arxiv.org/abs/2104.01979
We prove a version of the strong half-space theorem between the classes of recurrent minimal surfaces and complete minimal surfaces with bounded curvature of $\mathbb{R}^{3}_{\raisepunct{.}}$ We also show that any minimal hypersurface immersed with b
Externí odkaz:
http://arxiv.org/abs/2104.01675
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Publikováno v:
Revista Mathematica Iberoamericana; 2024, Vol. 40 Issue 5, p1609-1630, 22p
Publikováno v:
Rev. Mat. Iberoam. 36 (2020), no. 1, 1-36
In the first part of this article we obtain an identity relating the radial spectrum of rotationally invariant geodesic balls and an isoperimetric quotient $\sum 1/\lambda_{i}^{\rm rad}=\int V(s)/S(s)ds$. We also obtain upper and lower estimates for
Externí odkaz:
http://arxiv.org/abs/1605.04355