An upper bound for curvature integral
نویسنده
چکیده
Here I show that the integral of scalar curvature of a closed Riemannian manifold can be bounded from above in terms of its dimension, diameter, and a lower bound for sectional curvature.
منابع مشابه
An Upper Bound for the Curvature Integral
It is shown that the integral of the scalar curvature of a closed Riemannian manifold can be bounded from above in terms of the manifold’s dimension, diameter, and a lower bound for the sectional curvature. §
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