6533b82efe1ef96bd129299b
RESEARCH PRODUCT
On the volume of unit vector fields on spaces of constant sectional curvature
Antonio Martínez NaveiraFabiano Gustavo Braga BritoPablo M. Chacónsubject
Parallelizable manifoldGeneral MathematicsGEOMETRIA RIEMANNIANAMathematical analysisRiemannian manifoldSubmanifoldNormal bundleUnit tangent bundleMathematics::Differential GeometrySectional curvatureMathematics::Symplectic GeometryTangential and normal componentsTubular neighborhoodMathematicsdescription
A unit vector field X on a Riemannian manifold determines a submanifold in the unit tangent bundle. The volume of X is the volume of this submanifold for the induced Sasaki metric. It is known that the parallel fields are the trivial minima.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-04-01 |