6533b85bfe1ef96bd12bbd3e

RESEARCH PRODUCT

Comparison theorems for the volume of a geodesic ball with a product of space forms as a model

Vicente MiquelVicente MiquelAna LluchAna Lluch

subject

GeodesicMathematical analysisGeodesic mapMathematics::Metric GeometryMathematics::Differential GeometryGeometry and TopologyBall (mathematics)Riemannian manifoldExponential map (Riemannian geometry)Solving the geodesic equationsRicci curvatureScalar curvatureMathematics

description

We prove two comparison theorems for the volume of a geodesic ball in a Riemannian manifold taking as a model a geodesic ball in a product of two space forms.

https://doi.org/10.1007/bf01222855