6533b81ffe1ef96bd12784c3
RESEARCH PRODUCT
Fl�chen Beschr�nkter Mittlerer Kr�mmung in Einer Dreidimensionalen Riemannschen Mannigfaltigkeit
Karl-heinz Goldhornsubject
Mean curvature flowMean curvatureMinimal surfaceGeneral MathematicsPrescribed scalar curvature problemMathematical analysisMathematics::Differential GeometryIsoperimetric dimensionRiemannian manifoldRicci curvatureMathematicsScalar curvaturedescription
In recent papers HILDEBRANDT [11] and HARTH [5] proved the existence of solutions of the problem of Plateau for surfaces of bounded mean curvature with fixed and free boundaries in E3 and for minimal surfaces with free boundaries in a Riemannian manifold, respectively. Here their methods will be combined to solve the problem of Plateau for surfaces of bounded mean curvature in a Riemannian manifold. This will be done for fixed and free boundaries. Moreover, isoperimetric inequalities for the solutions will be given.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1973-06-01 | Manuscripta Mathematica |