Abstract. We prove integral formulas for closed hypersurfaces in Cn+1, which furnish a relation between elementary symmetric functions in the eigenvalues of the complex Hessian matrix of the defining function and the Levi curvatures of the hypersurface. Then we follow the Reilly approach to prove an isoperimetric inequality. As an application, we obtain the “Soap Bubble Theorem ” for star-shaped domains with positive and constant Levi curvatures bounding the classical mean curvature from above. 1
Baseados nos trabalhos De Gerhardt e Urbas [12], [36], provamos um resultado de convergÃncia global ...
We consider integral functionals of a simply connected domain which depend on the distance to the do...
Let G be a k-step Carnot group of homogeneous dimension Q. Later on we shall present some of the res...
none2noWe prove integral formulas for closed hypersurfaces in Cn+1 , which furnish a relation betwee...
n this paper, we provide an extension to the Jellett–Minkowski formula for immersed submanifolds wi...
In this paper we consider compact oriented hypersurfacesMwith constant mean curvature and two princi...
ABSTRACT. In this paper we provide an extension to the Jellett-Minkowski’s formula for immersed subm...
Based on the work of Gerhardt and Urbasa [12], [36], we prove a global convergence result and precis...
Let ψ be a given function defined on a Riemannian space. Under what conditions does there exist a co...
It is well known that by using the Brenier's map, one can give a simple proof of the classical isope...
We study the isoperimetric problem in the Riemannian products S-1(r) x Q(c)(n), where Q(c)(n) is the...
We present some recent results obtained on the isoperimetric problem in a class of Carnot-Carathéodo...
Abstract. We formulate the isoperimetric problem for the class of C2 smooth cylindrically symmetric ...
In this note we prove a version of the classical Schwarz lemma for the first eigenvalue of the Lapla...
In this note we prove a version of the classical Schwarz lemma for the first eigenvalue of the Lapla...
Baseados nos trabalhos De Gerhardt e Urbas [12], [36], provamos um resultado de convergÃncia global ...
We consider integral functionals of a simply connected domain which depend on the distance to the do...
Let G be a k-step Carnot group of homogeneous dimension Q. Later on we shall present some of the res...
none2noWe prove integral formulas for closed hypersurfaces in Cn+1 , which furnish a relation betwee...
n this paper, we provide an extension to the Jellett–Minkowski formula for immersed submanifolds wi...
In this paper we consider compact oriented hypersurfacesMwith constant mean curvature and two princi...
ABSTRACT. In this paper we provide an extension to the Jellett-Minkowski’s formula for immersed subm...
Based on the work of Gerhardt and Urbasa [12], [36], we prove a global convergence result and precis...
Let ψ be a given function defined on a Riemannian space. Under what conditions does there exist a co...
It is well known that by using the Brenier's map, one can give a simple proof of the classical isope...
We study the isoperimetric problem in the Riemannian products S-1(r) x Q(c)(n), where Q(c)(n) is the...
We present some recent results obtained on the isoperimetric problem in a class of Carnot-Carathéodo...
Abstract. We formulate the isoperimetric problem for the class of C2 smooth cylindrically symmetric ...
In this note we prove a version of the classical Schwarz lemma for the first eigenvalue of the Lapla...
In this note we prove a version of the classical Schwarz lemma for the first eigenvalue of the Lapla...
Baseados nos trabalhos De Gerhardt e Urbas [12], [36], provamos um resultado de convergÃncia global ...
We consider integral functionals of a simply connected domain which depend on the distance to the do...
Let G be a k-step Carnot group of homogeneous dimension Q. Later on we shall present some of the res...