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A Lower Bound for the Curvature Integral Under an Upper Curvature Bound by Fujioka, Tadashi is a scholarly article available to read on EtoBox.

What is A Lower Bound for the Curvature Integral Under an Upper Curvature Bound about?

We prove that the integral of scalar curvature over a Riemannian manifold is uniformly bounded below in terms of its dimension, upper bounds on sectional curvature and volume, and a lower bound on injectivity radius. This is an analogue of an earlier result of Petrunin for Riemannian manifolds with sectional curvature bounded below.

Author

Fujioka, Tadashi

Published

2023

Language

EN