6533b7d7fe1ef96bd126798c

RESEARCH PRODUCT

On nonimmersibility of compact hypersurfaces into a ball of a simply connected space form

Fernando GiménezVicente Miquel

subject

General MathematicsHyperbolic spaceMathematical analysisSimply connected spaceMathematics::Differential GeometrySectional curvatureBall (mathematics)CurvatureRicci curvatureSimply connected at infinityMathematicsScalar curvature

description

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.

https://doi.org/10.1007/bf02762695