Each unit costable cohomology class on a closed oriented Riemannian d-manifold (2 to 7) determines a unique largest lamination of minimal hypersurfaces calibrated by every calibration in the class, constraining the stable norm ball.
Lipschitz maps with prescribed local Lipschitz constants
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abstract
Let $\Gamma$ be a closed subset of a complete Riemannian manifold $M$ of dimension $\geq 2$, let $f: M \to N$ be a Lipschitz map to a complete Riemannian manifold $N$, and let $\psi$ be a continuous function which dominates the local Lipschitz constant of $f$. We construct a Lipschitz map which agress with $f$ on $\Gamma$ and whose local Lipschitz constant is $\psi$.
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math.DG 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
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The canonical lamination calibrated by a cohomology class
Each unit costable cohomology class on a closed oriented Riemannian d-manifold (2 to 7) determines a unique largest lamination of minimal hypersurfaces calibrated by every calibration in the class, constraining the stable norm ball.