Add to ORKGWe investigate the isoperimetric problem of finding the regions of prescribed volume with minimal boundary area between two parallel horospheres in hyperbolic 3-space (the part of the boundary contained in the horospheres is not included). We reduce the problem to the study of rotationally invariant regions and obtain the possible isoperimetric solutions by studying the behavior of the profile curves of the rotational surfaces with constant mean curvature in hyperbolic 3-space. We also classify all the connected compact rotational surfaces M of constant mean curvature that are contained in the region between two horospheres, have boundary partial derivative M either empty or lying on the horospheres, and meet the horospheres perpendicularly...
We study the topology of (properly) immersed complete minimal surfaces P 2 in Hyperbolic and Euclide...
n this paper, we provide an extension to the Jellett–Minkowski formula for immersed submanifolds wi...
This dissertation consists of three parts. The first part is an assortment of results about the geom...
We investigate the isoperimetric problem of finding the regions of prescribed volume with minimal bo...
We investigate the isoperimetric problem of finding the regions of prescribed volume with minimal bo...
We investigate the isoperimetric problem of finding the regions of prescribed volume with minimal bo...
Abstract. We solve the isoperimetric problem, the least-perimeter way to enclose a given area, on va...
We study the isoperimetric problem in the Riemannian products S-1(r) x Q(c)(n), where Q(c)(n) is the...
Let (M, g) be a complete Riemannian 3-manifold asymptotic to Schwarzschild-anti-deSitter and with sc...
We show that the Hopf differentials of a pair of isometric cousin surfaces, a minimal surface in euc...
presented by Manfredo do Carmo We show that the Hopf differentials of a pair of isometric cousin sur...
Abstract. We show the existence of isoperimetric regions of sufficiently large volumes in general as...
Isoperimetric regions minimize the size of their boundaries among all regions with the same...
We study area-stationary surfaces in the space $\mathbf{L}(\mathbf{H}^3)$ of oriented geodesics of h...
Abstract. We prove that the least-perimeter way to enclose prescribed area in the plane with smooth,...
We study the topology of (properly) immersed complete minimal surfaces P 2 in Hyperbolic and Euclide...
n this paper, we provide an extension to the Jellett–Minkowski formula for immersed submanifolds wi...
This dissertation consists of three parts. The first part is an assortment of results about the geom...
We investigate the isoperimetric problem of finding the regions of prescribed volume with minimal bo...
We investigate the isoperimetric problem of finding the regions of prescribed volume with minimal bo...
We investigate the isoperimetric problem of finding the regions of prescribed volume with minimal bo...
Abstract. We solve the isoperimetric problem, the least-perimeter way to enclose a given area, on va...
We study the isoperimetric problem in the Riemannian products S-1(r) x Q(c)(n), where Q(c)(n) is the...
Let (M, g) be a complete Riemannian 3-manifold asymptotic to Schwarzschild-anti-deSitter and with sc...
We show that the Hopf differentials of a pair of isometric cousin surfaces, a minimal surface in euc...
presented by Manfredo do Carmo We show that the Hopf differentials of a pair of isometric cousin sur...
Abstract. We show the existence of isoperimetric regions of sufficiently large volumes in general as...
Isoperimetric regions minimize the size of their boundaries among all regions with the same...
We study area-stationary surfaces in the space $\mathbf{L}(\mathbf{H}^3)$ of oriented geodesics of h...
Abstract. We prove that the least-perimeter way to enclose prescribed area in the plane with smooth,...
We study the topology of (properly) immersed complete minimal surfaces P 2 in Hyperbolic and Euclide...
n this paper, we provide an extension to the Jellett–Minkowski formula for immersed submanifolds wi...
This dissertation consists of three parts. The first part is an assortment of results about the geom...