Zobrazeno 1 - 10
of 735
pro vyhledávání: '"ROSENBERG, HAROLD"'
Autor:
Espinar, José M., Rosenberg, Harold
In this paper, we study complete minimal hypersurfaces in Riemannian $n-$manifolds $\mathcal{M}^n$ for dimensions $4 \leq n \leq 7$, and we obtain some results in the spirit of known work for $n=3$. Key contributions include extending the work of And
Externí odkaz:
http://arxiv.org/abs/2211.06392
Autor:
Folha, Abigail, Rosenberg, Harold
Publikováno v:
Pacific J. Math. 316 (2022) 307-333
For $0\leq H< 1/2$, we construct entire $H$-graphs in $\mathbb{H}^2\times\mathbb{R}$ that are parabolic and not invariant by one parameter groups of isometries of $\mathbb{H}^2\times\mathbb{R}$. Their asymptotic boundaries are $(\partial_\infty\mathb
Externí odkaz:
http://arxiv.org/abs/1905.13690
This paper contains a correction of a mistake made in arXiv:1405.1324
Comment: This is an erratum concerning a mistake made in arXiv:1405.1324v2
Comment: This is an erratum concerning a mistake made in arXiv:1405.1324v2
Externí odkaz:
http://arxiv.org/abs/1810.07562
Autor:
Mazet, Laurent, Rosenberg, Harold
In this paper, we improve a result by Chodosh and Ketover. We prove that, in an asymptotically flat $3$-manifold $M$ that contains no closed minimal surfaces, fixing $q\in M$ and a $2$-plane $V$ in $T_qM$ there is a properly embedded minimal plane $\
Externí odkaz:
http://arxiv.org/abs/1804.05658
Autor:
Rosansky, Joseph A.1,2, Rosenberg, Harold1
Publikováno v:
Journal of American College Health. Jul2023, Vol. 71 Issue 5, p1338-1341. 4p.
Autor:
Mazet, Laurent, Rosenberg, Harold
If $M$ is a finite volume complete hyperbolic $3$-manifold, the quantity $\mathcal A_1(M)$ is defined as the infimum of the areas of closed minimal surfaces in $M$. In this paper we study the continuity property of the functional $\mathcal A_1$ with
Externí odkaz:
http://arxiv.org/abs/1706.07742
Autor:
Espinar, José M., Rosenberg, Harold
We prove that the only embedded free boundary minimal surface $\Sigma$ in $\mathbb{B}^3$ with index $4$ is the critical catenoid. This extends fundamental work of A. Fraser and R. Schoen, as well as the work of H. Tran.
Comment: We made a mistak
Comment: We made a mistak
Externí odkaz:
http://arxiv.org/abs/1609.07810
We construct a parabolic entire minimal graph $S$ over a finite topology complete Riemannian surface $\Sigma$ of curvature $-1$ and infinite area (thus of non-parabolic conformal type). The vertical projection of this graph yields a harmonic diffeomo
Externí odkaz:
http://arxiv.org/abs/1607.05061
Autor:
Espinar, José M., Rosenberg, Harold
We obtain a bound for the area of a capillary $H-$surface in a three-manifold with umbilic boundary and controlled sectional curvature. We then analyze the geometry when this area bound is realized, and obtain rigidity theorems. As a side product, we
Externí odkaz:
http://arxiv.org/abs/1511.03096
Autor:
Mazet, Laurent, Rosenberg, Harold
In this paper, we study closed embedded minimal hypersurfaces in a Riemannian $(n+1)$-manifold ($2\le n\le 6$) that minimize area among such hypersurfaces. We show they exist and arise either by minimization techniques or by min-max methods: they hav
Externí odkaz:
http://arxiv.org/abs/1503.02938