6533b820fe1ef96bd1279a5d
RESEARCH PRODUCT
The volume of geodesic balls and tubes about totally geodesic submanifolds in compact symmetric spaces
Antonio Martínez NaveiraX. Gualsubject
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 radiusAnalysisMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-06-01 | Differential Geometry and its Applications |