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Creators/Authors contains: "Eichmair, Michael"

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  1. ; (, Notices of the American Mathematical Society)
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  2. ; (, Journal für die reine und angewandte Mathematik (Crelles Journal))
    Abstract We give an alternative proof of the Michael–Simon–Sobolev inequality using techniques from optimal transport. The inequality is sharp for submanifolds of codimension 2. 
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  3. ; (, Duke Mathematical Journal)
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  4. ; ; (, Communications in Mathematical Physics)
    null (Ed.)
    Abstract We prove several rigidity results related to the spacetime positive mass theorem. A key step is to show that certain marginally outer trapped surfaces are weakly outermost. As a special case, our results include a rigidity result for Riemannian manifolds with a lower bound on their scalar curvature. 
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  5. ; ; ; (, Communications on Pure and Applied Mathematics)
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  6. ; (, Journal für die reine und angewandte Mathematik (Crelles Journal))
    null (Ed.)
    Abstract We extend the Lyapunov–Schmidt analysis of outlying stable constant mean curvature spheres in the work of S. Brendle and the second-named author [S. Brendle and M. Eichmair,Isoperimetric and Weingarten surfaces in the Schwarzschild manifold,J. Differential Geom. 94 2013, 3, 387–407] to the “far-off-center” regime and to include general Schwarzschild asymptotics. We obtain sharp existence and non-existence results for large stable constant mean curvature spheres that depend delicately on the behavior of scalar curvature at infinity. 
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  7. ; ; ; (, Communications in Mathematical Physics)
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  8. ; ; (, Communications on Pure and Applied Mathematics)
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  9. ; ; ; ; ; ; ; ; ; ; et al (, Notices of the American Mathematical Society)
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