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In this paper we determine for relatively minimal elliptic surfaces with positive Euler number the image of the natural representation of the group of orientation preserving self-diffeomorphisms on , the second homology group reduced modulo torsion. To this end we construct as many embedded spheres of square such that an isometry not induced from any combination of reflections at such spheres...
Abstract. This paper establishes and extends a conjecture posed by M. Gromov which states that every riemannian metric on that strictly dominates the standard metric must have somewhere scalar curvature strictly less than that of . More generally, if is any compact spin manifold of dimension which admits a distance decreasing map of non-zero degree, then...
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