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Curvature operators: pinching estimates and geometric examples
of results1.1.The most frequently used and best motivated curvature assumptions in qualitative Riemannian geometry are bounds on the sectional curvatures of the Riemann tensor R. Associated with R is the so-called curvature operator R : A 2 Tp M -> A 2 Tp M (Tp M = V henceforth).The symmetries …