In this paper we show the following property of a non Levi flat real hypersurface in C^{n+1} : if the unit characteristic direction T is a geodesic, then it is an eigenvector of the second fundamental form and the relative eigenvalue is constant. As an application we prove a symmetry result of Alexandrov type for compact hypersurfaces in C^{n+1} with positive constant Levi mean curvature
summary:This paper consists of two parts. In the first, we find some geometric conditions derived fr...
We prove smoothness of strictly Levi convex solutions to the Levi equation in several complex variab...
We announce some recent results, jointly obtained with E. Lanconelli, about a new class of curvatur...
In this paper we show the following property of a non Levi flat real hypersurface in C^{n+1} : if th...
Abstract In this paper we show the following property of a non Levi flat real hypersurface in Cn+1: ...
We classify all (locally) homogeneous Levi non-degenerate real hypersurfaces in C3 with symmetry alg...
Upon a surface of positive Gaussian curvature there exists a unique conjugate system for which the a...
Let M be a real hypersurface of class C^2 in C^n, n ≥ 2, and let δ_M(z) be the Euclidean distance fr...
summary:For compact hypersurfaces with constant mean curvature in the unit sphere, we give a compari...
summary:We characterize real hypersurfaces with constant holomorphic sectional curvature of a non fl...
AbstractGiven a vector field X in a Riemannian manifold, a hypersurface is said to have a canonical ...
In this paper we write some differential formulas involving the high-order Levi curvatures of a real...
summary:In this paper we classify real hypersurfaces with constant totally real bisectional curvatur...
We study the hypersurfaces of Euclidean space $E^n^+^1$ satisfying the condition $C\cdot\ C=fQ(g,C)$...
We introduce a new class of curvature PDO's describing relevant properties of real hypersurfaces o...
summary:This paper consists of two parts. In the first, we find some geometric conditions derived fr...
We prove smoothness of strictly Levi convex solutions to the Levi equation in several complex variab...
We announce some recent results, jointly obtained with E. Lanconelli, about a new class of curvatur...
In this paper we show the following property of a non Levi flat real hypersurface in C^{n+1} : if th...
Abstract In this paper we show the following property of a non Levi flat real hypersurface in Cn+1: ...
We classify all (locally) homogeneous Levi non-degenerate real hypersurfaces in C3 with symmetry alg...
Upon a surface of positive Gaussian curvature there exists a unique conjugate system for which the a...
Let M be a real hypersurface of class C^2 in C^n, n ≥ 2, and let δ_M(z) be the Euclidean distance fr...
summary:For compact hypersurfaces with constant mean curvature in the unit sphere, we give a compari...
summary:We characterize real hypersurfaces with constant holomorphic sectional curvature of a non fl...
AbstractGiven a vector field X in a Riemannian manifold, a hypersurface is said to have a canonical ...
In this paper we write some differential formulas involving the high-order Levi curvatures of a real...
summary:In this paper we classify real hypersurfaces with constant totally real bisectional curvatur...
We study the hypersurfaces of Euclidean space $E^n^+^1$ satisfying the condition $C\cdot\ C=fQ(g,C)$...
We introduce a new class of curvature PDO's describing relevant properties of real hypersurfaces o...
summary:This paper consists of two parts. In the first, we find some geometric conditions derived fr...
We prove smoothness of strictly Levi convex solutions to the Levi equation in several complex variab...
We announce some recent results, jointly obtained with E. Lanconelli, about a new class of curvatur...