A family of stratified area-minimizing cones
Michael Kerckhove and Gary Lawlor
Source: Duke Math. J. Volume 96, Number 2
(1999), 401-424.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077229139
Mathematical Reviews number (MathSciNet): MR1666566
Zentralblatt MATH identifier: 0959.49024
Digital Object Identifier: doi:10.1215/S0012-7094-99-09612-6
References
[EY] C. Eckert and G. Young, The approximation of one matrix by another of lower rank, Psychometrika 1 (1936), 211–218.
Zentralblatt MATH: 62.1075.02
[F] Herbert 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
[GHS] G. H. Golub, Alan Hoffman, and G. W. Stewart, A generalization of the Eckart-Young-Mirsky matrix approximation theorem, Linear Algebra Appl. 88/89 (1987), 317–327.
Mathematical Reviews (MathSciNet): MR88f:41039
Zentralblatt MATH: 0623.15020
Digital Object Identifier: doi:10.1016/0024-3795(87)90114-5
[HJ] Roger A. Horn and Charles R. Johnson, Topics in matrix analysis, Cambridge University Press, Cambridge, 1991.
Mathematical Reviews (MathSciNet): MR92e:15003
Zentralblatt MATH: 0729.15001
[L1] Gary R. Lawlor, A sufficient criterion for a cone to be area-minimizing, Mem. Amer. Math. Soc. 91 (1991), no. 446, vi+111.
Mathematical Reviews (MathSciNet): MR92d:49079
Zentralblatt MATH: 0745.49029
[L2] G. Lawlor, Proving area-minimization by slicing, to appear in Indiana Math. J.
[M] Frank Morgan, Geometric measure theory, Academic Press Inc., San Diego, CA, 1995, A Beginner's Guide, 2d ed.
Mathematical Reviews (MathSciNet): MR96c:49001
Zentralblatt MATH: 0819.49024
[P1] Sharon L. Pedersen, Volumes of vector fields on spheres, Trans. Amer. Math. Soc. 336 (1993), no. 1, 69–78.
Mathematical Reviews (MathSciNet): MR93e:57046
Zentralblatt MATH: 0771.53023
Digital Object Identifier: doi:10.2307/2154338
JSTOR: links.jstor.org
[P2] S. Pedersen, Optimal vector fields on sphers, Ph.D. thesis, Univ. of Pennysylvania, 1988.
[Sch] E. Schmidt, Zur Theorie der linearen und nichtlinearen Integralgleichungen, Math. Ann. 63 (1907), 433–476.
Zentralblatt MATH: 38.0377.02
Mathematical Reviews (MathSciNet): MR1511415
Digital Object Identifier: doi:10.1007/BF01449770
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