A NOTE ON THE VOLUME COMPARISON OF TUBES AROUND GEODESICS

Jong-Gug Yun

A NOTE ON THE VOLUME COMPARISON OF TUBES AROUND GEODESICS

2008

Jong-Gug Yun

In this paper, we shall calculate the volume of normal tubes around geodesics under a curvature perturbation to establish a theorem of volume comparison type.

Keywords:

Geometry
Mathematical analysis
Mathematics
Topology
Mean curvature flow
Scalar curvature
Center of curvature
Curvature
Geodesic
Mean curvature
Perturbation (astronomy)
Sectional curvature
curvature perturbation

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