Search results for "Solving the geodesic equations"

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

1995

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.

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