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math.DG2019
Isometric immersions of Riemannian manifolds in -codimensional Euclidean space
Dan Gregorian Fodor
We use a new method to give conditions for the existence of a local isometric immersion of a Riemannian -manifold in , for a given and . These equat…
math.DG2019
Algebraic conditions for the positivity of sectional curvature
Dan Gregorian Fodor
We examine algebraic conditions for the sectional positivity of the Riemann curvature operator. We describe sufficient conditions for dimension , and complete characterization…