Complex Analytic Curves and Maximal Surfaces.
Complex points of minimal surfaces in almost Kähler manifolds.
Conformal Imbeddings of the Complex Projective Plane and Self-Dual Connections.
Conformal Jacobi operators of hypersurfaces in the de Sitter space.
Conformal Killing graphs in foliated Riemannian spaces with density: rigidity and stability
In this paper we investigate the geometry of conformal Killing graphs in a Riemannian manifold endowed with a weight function and having a closed conformal Killing vector field with conformal factor , that is, graphs constructed through the flow generated by and which are defined over an integral leaf of the foliation orthogonal to . For such graphs, we establish some rigidity results under appropriate constraints on the -mean curvature. Afterwards, we obtain some stability results...
Constant Curvature 2-spheres in the 4-sphere.
Constant mean curvature hypersurfaces with constant -invariant.
Constant mean curvature surfaces bounded by a circle.
Constant mean curvature surfaces constructed by fusing Wente tori.
Constant mean curvature surfaces in -space forms
Constant mean curvature surfaces with two ends in hyperbolic space.
Constant mean curvature tori in terms of elliptic functions.
Constant Mean Curvature Tori with spherical curvature lines in noneuclidean geometry.
Constant scalar curvature hypersurfaces with spherical boundary in Euclidean space.
It is still an open question whether a compact embedded hypersurface in the Euclidean space with constant mean curvature and spherical boundary is necessarily a hyperplanar ba1l or a spherical cap, even in the simplest case of a compact constant mean curvature surface in R3 bounded by a circle. In this paper we prove that this is true for the case of the scalar curvature. Specifica1ly we prove that the only compact embedded hypersurfaces in the Euclidean space with constant scalar curvature and...
Construction de surfaces à courbure moyenne constante
Construction of slant immersions. II.
Contact CR-Submanifolds of Kenmotsu Manifolds
2000 Mathematics Subject Classification: 53C15, 53C42.In this paper, we research some fundamental properties of contact CR-Submanifolds of a Kenmotsu manifold. We show that the anti-invariant distribution is always integrable and give a necessary and sufficient condition for the invariant distribution to be integrable. After then, properties of the induced structures on submanifold by almost contact metric structure on the ambient manifold are categorized. Finally, we give some results for contact...
Convexity theorem for isoparametric submanifolds.
CR submanifolds of maximal CR dimension in complex projective space and its holomorphic sectional curvature
Critical points of the distance function on the moduli space for spherical eigenmaps and minimal immersions.