Foliated Plateau Problem, Part I: Minimal Varieties.
Foliated Problem, Part II: Harmonic Maps of Foliations.
Foliations by hypersurfaces with constant mean curvature.
Gauss-Codazzi tensor fields and the Bonnet immersion theorem.
General Reilly-type inequalities for submanifolds of weighted Euclidean spaces
We prove new upper bounds for the first positive eigenvalue of a family of second order operators, including the Bakry-Émery Laplacian, for submanifolds of weighted Euclidean spaces.
Generic Minimal Surfaces.
Generic warped product submanifolds in nearly Kähler manifolds.
Geometric application of Euclidean Jordan Triple Systems.
Geometric P.D.E.'s with isolated singularities.
Geometric properties of a sequence of standard minimal immersions between spheres
Géométrie différentielle affine des hypersurfaces
Geometry of Warped Product Semi-Invariant Submanifolds of a Locally Riemannian Product Manifold
2000 Mathematics Subject Classification: 53C42, 53C15.In this article, we have studied warped product semi-invariant submanifolds in a locally Riemannian product manifold and introduced the notions of a warped product semi-invariant submanifold. We have also proved several fundamental properties of a warped product semi-invariant in a locally Riemannian product manifold.Supported by the Scientific Research Fund of St. Kl. Ohridski Sofia University under contract 90/2008.
Global Pinching Theorems for Even Dimensional Minimal Submanifolds in the Unit Sphere.
Harmonic and Minimal Unit Vector Fields on the Symmetric Spaces and
The exceptional compact symmetric spaces and admit cohomogeneity one isometric actions with two totally geodesic singular orbits. These singular orbits are not reflective submanifolds of the ambient spaces. We prove that the radial unit vector fields associated to these isometric actions are harmonic and minimal.
Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry
Harmonic map heat flow with free boundary.
Harmonic maps and the topology of manifolds with positive spectrum and stable minimal hypersurfaces.
In this paper, we prove two Liouville theorems for harmonic maps and apply them to study the topology of manifolds with positive spectrum and stable minimal hypersurfaces in Riemannian manifolds with non-negative bi-Ricci curvature.
Harmonic sections and equivariant harmonic maps.
Helical Immersions Into a Unit Sphere.
Highly Connected Taut Submanifolds.