×

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


MSC:

53C40 Global submanifolds
52A40 Inequalities and extremum problems involving convexity in convex geometry
53C20 Global Riemannian geometry, including pinching
PDF BibTeX XML Cite
Full Text: DOI

References:

[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.