A scalar geodesic deviation equation and a phase theorem.
A secondary Chern-Euler class.
A second-order identity for the Riemann tensor and applications
A second-order differential identity for the Riemann tensor is obtained on a manifold with a symmetric connection. Several old and some new differential identities for the Riemann and Ricci tensors are derived from it. Applications to manifolds with recurrent or symmetric structures are discussed. The new structure of K-recurrency naturally emerges from an invariance property of an old identity due to Lovelock.
A series of Kählerian invariants and their applications to Kählerian geometry.
A sharp four dimensional isoperimetric inequality.
A short note on -biharmonic hypersurfaces
In the present paper we give some properties of -biharmonic hypersurfaces in real space forms. By using the -biharmonic equation for a hypersurface of a Riemannian manifold, we characterize the -biharmonicity of constant mean curvature and totally umbilical hypersurfaces in a Riemannian manifold and, in particular, in a real space form. As an example, we consider -biharmonic vertical cylinders in .
A short note on Seshadri constants and packing constants
The note is about a connection between Seshadri constants and packing constants and presents another proof of Lazarsfeld's result from [Math. Res. Lett. 3 (1996), 439-447].
A short proof of the Hölder-Poincaré duality for -cohomology
A short proof of the minimality of Simons cone
A short topological proof for the symmetry of 2 point homogeneous spaces.
A Simple Proof of Borel's Density Theorem.
A Simple Proof of the Subjectivity of the Period Map of K3 Surfaces.
A singular example for the averaged mean curvature flow.
A Singular Solution of the Capillary Equation. I. Existence.
A Singular Solution of the Capillary Equation. II. Uniqueness.
A Singularity Theorem for Twistor Spinors
We study spin structures on orbifolds. In particular, we show that if the singular set has codimension greater than 2, an orbifold is spin if and only if its smooth part is. On compact orbifolds, we show that any non-trivial twistor spinor admits at most one zero which is singular unless the orbifold is conformally equivalent to a round sphere. We show the sharpness of our results through examples.
A smooth gauge model on tangent bundle.
A Software for the Visualisationof Differential Geometry
A special nonlinear connection in second order geometry.
A specialization of an anholonomial subvarietes system of an -dimensional variety in unimodular -dimensional space