Stronger Radial Attraction: A Generalization of Radial Curvature Bounded from Above | Synapse
April 24, 2026
Stronger Radial Attraction: A Generalization of Radial Curvature Bounded from Above
Key Points
To introduce a generalization of radial curvature bounded from above in pointed Riemannian manifolds.
Developed a theoretical framework for generalized radial curvature.
Analyzed its properties in relation to model surfaces of revolution.
Established criteria for radial curvature bounds in the new geometric context.
Demonstrated implications for the geometry of pointed Riemannian manifolds.
Abstract
This paper introduces and investigates a generalization of the notion of a pointed Riemannian manifold having its radial curvature bounded from above by that of a model surface of revolution.