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Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature

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References

  1. Hamilton, R.S.: Three-manifolds with positive Ricci curvature. J. Differ. Geom.17, 255–306 (1982)

    Google Scholar 

  2. Hoffman, D., Spruck, J.: Sobolev and isoperimetric inequalities for Riemannian submanifolds. Commun. Pure. Appl. Math.27, 715–727 (1974) and28, 765–766 (1975)

    Google Scholar 

  3. Huisken, G.: Flow by mean curvature of convex surfaces into spheres. J. Differ. Geom.20, 237–266 (1984)

    Google Scholar 

  4. Protter, M.H., Weinberger, H.F.: Maximum principles in differential equations. Englewood Cliffs, N.J.: Prentice Hall 1967

    Google Scholar 

  5. Schoen, R., Simon, L., Yau, S.T.: Curvarure estimates for minimal hypersurfaces. Acta Math.134, 275–288 (1975)

    Google Scholar 

  6. Simons, J.: Minimal varieties in Riemannian manifolds. Ann. Math.88, 62–105 (1968)

    Google Scholar 

  7. Thurston, B.: The geometry and topology of three-manifolds. Notes, Princeton, 1979

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This work was carried out at the Centre for Mathematical Analysis, Australian National University, Canberra

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Huisken, G. Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature. Invent Math 84, 463–480 (1986). https://doi.org/10.1007/BF01388742

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