We consider nonnegatively curved 4-manifolds that admit effective isometric actions by nite groups and from that draw topological conclusions about the manifold. Our rst theorem shows that if the man-ifolds admits an isometric Zp Zp for p large enough that the manifold has Euler characteristic less than or equal to ve. Our second theorem requires no hypothesis on the structure of the group othe...

This paper addresses partly an open question raised in the Handbook of Mathematical economics about the orientability of the pseudo-equilibrium manifold in the basic two-period General Equilibrium with Incomplete markets (GEI) model. For a broad class of explicit asset structures, it is proved that the asset equilibrium space is an orientable manifold if S − J is even. This implies, under the s...

The purpose of this paper is to demonstrate that the index of a vector field on a smooth manifold is an intrinsic invariant of the manifold. The paper is divided into three sections. The first section introduces the Inverse Function Theorem and provides the proof for the Implicit Function Theorem, laying the foundation for our discussion. In the second section we will introduce the concept of a...

Object of the present paper is to study pseudo Hermitian magnetic curves in (κ,µ) manifold admitting Zamkovoy connection. We give main classification theorem for pseudo-Hermitian curve. Again we find curvature and torsion a (κ,µ)-manifold

We recall the complex structure on generalized loop spaces Wk,2(S,X), where S is a compact real manifold with boundary and X manifold, prove Hartogs-type extension theorem for holomorphic maps from certain domains in spaces.

We show that for generic Riemannian metrics on a simply-connected closed spin manifold of dimension ≥ 5 the dimension of the space of harmonic spinors is no larger than it must be by the index theorem. The same result holds for periodic fundamental groups of odd order. The proof is based on a surgery theorem for the Dirac spectrum which says that if one performs surgery of codimension ≥ 3 on a ...