Sobolev and isoperimetric inequalities for Riemannian submanifolds. (English) Zbl 0295.53025


53C40 Global submanifolds
52A40 Inequalities and extremum problems involving convexity in convex geometry
53C20 Global Riemannian geometry, including pinching
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[1] Bishop, Geometry of Manifolds (1964)
[2] Bombieri, Lectures on minimal surfaces on a counterexample to the Bernstein conjecture in high dimensions (1970)
[3] Michael, Sobolev and mean-value inequalities on generalized submanifolds of Rn, Comm. Pure a Appl. Math. 26 pp 361– (1973)
[4] Gromoll, Riemannsche Geometrie im Grossen, Lecture Notes in Mathematics (1968)
[5] Cantor, Sobolev inequalities for Riemannian bundles, Bulletin of the A.M.S. 80 pp 239– (1974) · Zbl 0277.58001
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