The isoperimetric inequality for a minimal submanifold in Euclidean space

By S. Brendle. 2019

93 citations recorded by the source corpus.

We prove an isoperimetric inequality which holds for minimal submanifolds in Euclidean space of arbitrary dimension and codimension. Our estimate is sharp if the codimension is at most $2$.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8a4adc0cd397ed1a7c08d52dbb95080c4bba4431

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In Applied Mathematics

1. S. Brendle
2. Hong-wei Xu
3. Burkhard Wilking
4. A. Malchiodi
5. J. Gu
6. Robert Haslhofer
7. S. Almaraz
8. Chao Xia

In Computational Theory and Mathematics

1. S. Brendle
2. P. Topping

Citations in the corpus

• Sobolev Inequalities in Manifolds with Nonnegative Curvature (2020, methodology): “[3]), and relies on the AlexandrovBakelman-Pucci technique.”