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On nonimmersibility of compact hypersurfaces into a ball of a simply connected space form
Authors:Fernando Giménez  Vicente Miquel
Affiliation:(1) Departmento de Matemática Aplicada E.T.S.I. Industriales, Universidad Politécnica de Valencia, Valencia, Spain;(2) Departmento de Geometría y Topología, Universidad de Valencia, Burjasot, Valencia, Spain
Abstract:
We give a nonimmersibility theorem of a compact manifold with nonnegative scalar curvature bounded from above into a geodesic ball of a simply connected space form. Work partially supported by a DGICYT Grant No. PB91-0324 and by the E.C. Contract CHRX-CT92-0050 “G.A.D.G.E.T. II”
Keywords:
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