A proof of Gehring’s linked spheres conjecture
Michael E. Gage
Source: Duke Math. J. Volume 47, Number 3 (1980), 615-620.
First Page PDF: View first page of article (PDF, 86 KB)Primary Subjects: 52A40
Secondary Subjects: 57R99
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077314184
Mathematical Reviews number (MathSciNet):
MR587169
Zentralblatt MATH identifier:
0463.57007
Digital Object Identifier: doi:10.1215/S0012-7094-80-04737-7
References
[1] E. Bombieri and L. Simon, On the Gehring link problem, (to appear).
Mathematical Reviews (MathSciNet):
MR795242
[2] C. Croke, private communication, 1980.
[3] M. Edelstein and B. Schwarz, On the length of linked curves, Israel J. Math. 23 (1976), no. 1, 94–95.
Mathematical Reviews (MathSciNet):
MR53:1417
Zentralblatt MATH:
0318.50011
Digital Object Identifier: doi:10.1007/BF02757236
[4] H. Federer, Geometric measure theory, Die Grundlehren der mathematischen Wissenschaften, Band 153, Springer-Verlag New York Inc., New York, 1969.
Mathematical Reviews (MathSciNet):
MR41:1976
Zentralblatt MATH:
0176.00801
[5] T. Figiel, J. Lindenstrauss, and V. D. Milman, The dimension of almost spherical sections of convex bodies, Acta Math. 139 (1977), no. 1-2, 53–94.
Mathematical Reviews (MathSciNet):
MR56:3618
Zentralblatt MATH:
0375.52002
Digital Object Identifier: doi:10.1007/BF02392234
[6] M. Gage, On Gehring's linked sphere problem, (to appear).
[7] F. W. Gehring, The Hausdorff measure of sets which link in Euclidean space, Contributions to analysis (a collection of papers dedicated to Lipman Bers), Academic Press, New York, 1974, pp. 159–167.
Mathematical Reviews (MathSciNet):
MR50:13455
Zentralblatt MATH:
0295.28031
[8] F. W. Gehring, Problem 7.22 p. 176, in Symposium on Complex Analysis, 1974, University of Kent (1973), Cambridge University Press.
[9] A. Haefliger, Differentiable imbeddings, Bull. Amer. Math. Soc. 67 (1961), 109–112.
Mathematical Reviews (MathSciNet):
MR23:A665
Zentralblatt MATH:
0099.18101
Digital Object Identifier: doi:10.1090/S0002-9904-1961-10522-3
Project Euclid: euclid.bams/1183523866
[10] A. Haefliger, Plongements différentiables de variétés dans variétés, Comment. Math. Helv. 36 (1961), 47–82.
Mathematical Reviews (MathSciNet):
MR26:3069
Zentralblatt MATH:
0102.38603
Digital Object Identifier: doi:10.1007/BF02566892
[11] M. Hirsch, Differential topology, Springer-Verlag, New York, 1976.
Mathematical Reviews (MathSciNet):
MR56:6669
Zentralblatt MATH:
0356.57001
[12] J. Milnor, Lectures on the $h$-cobordism theorem, Notes by L. Siebenmann and J. Sondow, Princeton University Press, Princeton, N.J., 1965.
Mathematical Reviews (MathSciNet):
MR32:8352
Zentralblatt MATH:
0161.20302
[13] R. Osserman, Some remarks on the isoperimetric inequality and a problem of Gehring, J. Analyse Math. 30 (1976), 404–410.
Mathematical Reviews (MathSciNet):
MR56:3750
Zentralblatt MATH:
0333.52006
[14] M. Ortel, Unpublished, 1975.
[15] E. Schmidt, Beweis der isoperimetrischen Eigenschaft der Kugel im hyperbolischen und sphärischen Raum jeder Dimensionenzahl, Math. Z. 49 (1943), 1–109.
Mathematical Reviews (MathSciNet):
MR5,106d
Zentralblatt MATH:
0028.31303
Digital Object Identifier: doi:10.1007/BF01174192
[16] E. Schmidt, Die Brunn-Minkowskische Ungleichung und ihr Spiegelbild sowie die isoperimetrische Eigenschaft der Kugel in der euklidischen und nichteuklidischen Geometrie. I, Math. Nachr. 1 (1948), 81–157.
Mathematical Reviews (MathSciNet):
MR10,471d
Zentralblatt MATH:
0030.07602
Digital Object Identifier: doi:10.1002/mana.19480010202
[17] H. Whitney, Differentiable manifolds, Annals of Math. 37 (1936), 645–680.
Zentralblatt MATH:
0015.32001
Digital Object Identifier: doi:10.2307/1968482
[18] H. Whitney, The self-intersections of a smooth $n$-manifold in $2n$-space, Ann. of Math. (2) 45 (1944), 220–246.
Mathematical Reviews (MathSciNet):
MR5,273g
Zentralblatt MATH:
0063.08237
Digital Object Identifier: doi:10.2307/1969265
JSTOR: links.jstor.org
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