Search results for "Minimal volume"

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Some remarks on minimal surfaces in riemannian manifolds

1970

Pure mathematicsCurvature of Riemannian manifoldsRiemannian submersionApplied MathematicsGeneral Mathematics010102 general mathematicsMathematical analysisFundamental theorem of Riemannian geometryRiemannian geometry01 natural sciencesLevi-Civita connectionsymbols.namesakeRicci-flat manifold0103 physical sciencessymbolsMinimal volume010307 mathematical physicsSectional curvature0101 mathematicsMathematicsCommunications on Pure and Applied Mathematics
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Feuilletages Riemanniens singuliers

2006

Abstract We prove that a singular foliation on a compact manifold admitting an adapted Riemannian metric for which all leaves are minimal must be regular. To cite this article: V. Miquel, R.A. Wolak, C. R. Acad. Sci. Paris, Ser. I 342 (2006).

Pure mathematicsMathematical analysisGeneral MedicineRiemannian geometryFundamental theorem of Riemannian geometryPseudo-Riemannian manifoldLevi-Civita connectionsymbols.namesakesymbolsMinimal volumeMathematics::Differential GeometryExponential map (Riemannian geometry)Ricci curvatureScalar curvatureMathematicsComptes Rendus Mathematique
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