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
A spectral estimate for the Dirac operator on Riemannian flows
We give a new upper bound for the smallest eigenvalues of the Dirac operator on a Riemannian flow carrying transversal Killing spinors. We derive an estimate on both Sasakian and 3-dimensional manifolds, and partially classify those satisfying the limiting case. Finally, we compare our estimate with a lower bound in terms of a natural tensor depending on the eigenspinor.
A spectral Paley-Wiener theorem for the Heisenberg group and a support theorem for the twisted spherical means on
We prove a spectral Paley-Wiener theorem for the Heisenberg group by means of a support theorem for the twisted spherical means on If is a Schwartz class function we show that is supported in a ball of radius in if and only if for for all This is an analogue of Helgason’s support theorem on Euclidean and hyperbolic spaces. When we show that the two conditions for imply a support theorem for a large class of functions with exponential growth. Surprisingly enough,this latter...
A sphere problem in Euclidean space. (Ein Kugelproblem im euklidischen Raum.)
A Sphere Theorem for Submanifolds in a Manifold with Pinched Positive Curvature.
A spherical Fabricius-Bjerre formula with applications to closed space curves.
A splitting formula for the spectral flow of the odd signature operator on 3-manifolds coupled to a path of connections.