Search results for "minimal focal distance"

showing 1 items of 1 documents

The volume of geodesic balls and tubes about totally geodesic submanifolds in compact symmetric spaces

1997

AbstractLet M be a compact Riemannian symmetric space. We give an analytical expression for the area and volume functions of geodesic balls in M and for the area and volume functions of tubes around some totally geodesic submanifolds P of M. We plot the graphs of these functions for some compact irreducible Riemannian symmetric spaces of rank two.

Pure mathematicsGeodesictube53C21.Mathematical analysisGeodesic mapgeodesic balltotally geodesic submanifold.53C35Computational Theory and MathematicsSymmetric spaceTotally geodesicMathematics::Differential GeometryGeometry and TopologyCompact Riemannian symmetric spaceminimal focal distancerestricted rootsExponential map (Riemannian geometry)injectivity radiusAnalysisMathematicsDifferential Geometry and its Applications
researchProduct