journal article Dec 01, 1984

A sharp four dimensional isoperimetric inequality

View at Publisher Save 10.1007/bf02566344
Topics

No keywords indexed for this article. Browse by subject →

References
10
[1]
[A]T. Aubin,Problèmes isopérimétriques et espaces de Sobolev, J. Differential Geometry11 (1976), 573–598. 10.4310/jdg/1214433725
[2]
[B]M. Berger,Lectures on geodesics in Riemannian geometry, Tata Institute, Bombay, 1965.
[3]
[B-R]E. F. Beckenbach andT. Radó,Subharmonic functions and surfaces of negative curvature, Trans. Amer. Math. Soc.35 (1933), 662–674. 10.1090/s0002-9947-1933-1501708-x
[4]
[B-C]R. Bishop andR. Crittenden,Geometry of manifolds, Academic Press, 1964.
[5]
[Bo]E. Bombieri,Theory of minimal surfaces, and a counterexample to the Bernstein conjecture in high dimension, Lecture Notes, Courant Inst., 1970.
[6]
[C]C. Croke,Some isoperimetric inequalities and eigenvalue estimates, Ann. Scient. Éc. Norm. Sup., 4e série t.13, 1980, 419–435. 10.24033/asens.1390
[7]
[F-F]H. Federer andW. Flemming,Normal integral currents, Ann. of Math.72 (1960), 458–520. 10.2307/1970227
[8]
[H-S]D. Hoffman andJ. Spruck,Sobolev and isoperimetric inequalities for Riemannian submanifolds, Communications Pure Appl. Math.27 (1974), 715–727; correction, ibid. Communications Pure Appl. Math.28 (1975), 765–766. 10.1002/cpa.3160270601
[9]
[Sa]L. A. Santaló,Integral geometry and geometric probability, (Encyclopedia of Mathematics and Its Applications), Addison-Wesley, London-Amsterdam-Don Mills, Ontario-Sydney-Tokyo, 1976.
[10]
[Sc]E. Schmidt,Beweis der isoperimetrischen Eigenschaft der Kugel in hyperbolischen und spharischen Raum jeder Dimensionenzahl, Math. Z.49 (1943/44), 1–109. 10.1007/bf01174192
Cited By
57
Abhandlungen aus dem Mathematischen...
Metrics
57
Citations
10
References
Details
Published
Dec 01, 1984
Vol/Issue
59(1)
Pages
187-192
Cite This Article
Christopher B. Croke (1984). A sharp four dimensional isoperimetric inequality. Commentarii Mathematici Helvetici, 59(1), 187-192. https://doi.org/10.1007/bf02566344