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.