This paper concerns the study of the so-called super minimizers related to the concept of super efficiency in constrained problems of multiobjective optimization, where cost mappings are generally set-valued. We derive necessary conditions for super minimizers on the base of advanced tools of variational analysis and generalized differentiation that are new in both finite-dimensional and infini...

We show how a Kähler spacetime foam in four dimensional conformal (super)gravity may be mapped to twistor spaces carrying the D1 brane charge of the B model topological string theory. The spacetime foam is obtained by blowing up an arbitrary number of points in C and can be interpreted as a sum over gravitational instantons. Some twistor spaces for blowups of C are known explicitly. In these ca...

Let M0 = G0/H be a (pseudo)-Riemannian homogeneous spin manifold, with reductive decomposition g0 = h + m and let S(M0) be the spin bundle defined by the spin representation Ãd : H → GLR(S) of the stabilizer H . This article studies the superizations of M0, i.e. its extensions to a homogeneous supermanifold M = G/H whose sheaf of superfunctions is isomorphic to Λ(S(M0)). Here G is the Lie super...

By studying dressing orbits a complete account is given of the (full) super-horizontal holomorphic maps of nite type from the 2-plane into a full ag manifold. It is shown that precisely one dressing orbit contains all 2-spheres of nite type. From this follows a simple description of all harmonic 2-spheres in CP n of nite type.

By establishing the intrinsic super-Poincaré inequality, some explicit conditions are presented for diffusion semigroups on a non-compact complete Riemannian manifold to be intrinsically ultracontractive. These conditions, as well as the resulting uniform upper bounds on the intrinsic heat kernels, are sharp for some concrete examples. AMS subject Classification: 58G32, 60J60