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Stability of geodesic spheres in \(\varvec{\mathbb {S}^{n+1}}\) under constrained curvature flows

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In this paper we discuss the stability of geodesic spheres in \(\mathbb {S}^{n+1}\) under constrained curvature flows. We prove that under some standard assumptions on the speed and weight functions, the spheres are stable under perturbations that preserve a volume type quantity.

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  1. Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas, 28049, Madrid, Spain

    David Hartley

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  1. David Hartley
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Correspondence to David Hartley.

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Hartley, D. Stability of geodesic spheres in \(\varvec{\mathbb {S}^{n+1}}\) under constrained curvature flows. J. Evol. Equ. 17, 1209–1225 (2017). https://doi.org/10.1007/s00028-016-0378-7

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  • DOI: https://doi.org/10.1007/s00028-016-0378-7

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