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From $$L^p$$ L p bounds to Gromov–Hausdorff convergence of Riemannian manifolds
23 pages, 1 figure, comments welcome. v2: typo corrected v3: New table and figure added to summarize important examples v4: Adjustments made to Lemma 4.3 and Theorem 4 ...
Brian Allen
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Lp-Spectral Gap and Gromov-Hausdorff Convergence
, 2014This paper is an announcement of recent results given by the author which gives the continuity of L p -spectral gaps with respect to the Gromov-Hausdorff topology and applications.
Shouhei Honda
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The geodesic problem and Gromov—Hausdorff convergence
2003Abstract This chapter is devoted to the geodesic problem in a general metric space E.
Luigi Ambrosio, Paolo Tilli
openaire +1 more source
, 2017
In this note we prove in the nonlinear setting of $${{\mathrm{CD}}}(K,\infty )$$CD(K,∞) spaces the stability of the Krasnoselskii spectrum of the Laplace operator $$-\,\Delta $$-Δ under measured Gromov–Hausdorff convergence, under an additional ...
L. Ambrosio, Shouhei Honda, J. Portegies
semanticscholar +1 more source
In this note we prove in the nonlinear setting of $${{\mathrm{CD}}}(K,\infty )$$CD(K,∞) spaces the stability of the Krasnoselskii spectrum of the Laplace operator $$-\,\Delta $$-Δ under measured Gromov–Hausdorff convergence, under an additional ...
L. Ambrosio, Shouhei Honda, J. Portegies
semanticscholar +1 more source

