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The area of a nonparametric surface
Author:
Hebert Federer
Journal:
Proc. Amer. Math. Soc. 11 (1960), 436-439
MSC:
Primary 28.80
MathSciNet review:
0123681
Full-text PDF Free Access
References |
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Additional Information
- [E]
S. Eilenberg, On
measures, Ann. Soc. Polon. Math. vol. 17 (1938) pp. 252-253.
- [F1]
Herbert
Federer, The (𝜙,𝑘) rectifiable
subsets of 𝑛-space, Trans. Amer.
Soc. 62 (1947),
114–192. MR 0022594
(9,231c), http://dx.doi.org/10.1090/S0002-9947-1947-0022594-3
- [F2]
Herbert
Federer, Some integralgeometric
theorems, Trans. Amer. Math. Soc. 77 (1954), 238–261. MR 0063686
(16,163b), http://dx.doi.org/10.1090/S0002-9947-1954-0063686-6
- [F3]
Herbert
Federer, On Lebesgue area, Ann. of Math. (2)
61 (1955), 289–353. MR 0067178
(16,683a)
- [G]
William
Gustin, Boxing inequalities, J. Math. Mech. 9
(1960), 229–239. MR 0123680
(23 #A1004)
- [M]
Anthony
P. Morse, A theory of covering and
differentiation, Trans. Amer. Math. Soc. 55 (1944), 205–235.
MR
0009974 (5,231g), http://dx.doi.org/10.1090/S0002-9947-1944-0009974-4
- [T]
Robert
N. Tompson, Areas of 𝑘-dimensional
nonparametric surfaces in 𝑘+1 space, Trans. Amer. Math. Soc. 77 (1954), 374–407. MR 0065627
(16,457e), http://dx.doi.org/10.1090/S0002-9947-1954-0065627-4
- [E]
- S. Eilenberg, On
measures, Ann. Soc. Polon. Math. vol. 17 (1938) pp. 252-253.
- [F1]
- H. Federer, The
rectifiable subsets of space, Trans. Amer. Math. Soc. vol. 62 (1947) pp. 114-192. MR 0022594 (9:231c)
- [F2]
- -, Some integralgeometric theorems, Trans. Amer. Math. Soc. vol. 77 (1954) pp. 238-261. MR 0063686 (16:163b)
- [F3]
- -, On Lebesgue area, Ann. of Math. vol. 61 (1955) pp. 289-353. MR 0067178 (16:683a)
- [G]
- W. Gustin, The boxing inequality, J. Math. Mech., to appear. MR 0123680 (23:A1004)
- [M]
- A. P. Morse, A theory of covering and differentiation, Trans. Amer. Math. Soc. vol. 55 (1944) pp. 205-235. MR 0009974 (5:231g)
- [T]
- R. N. Tompson, Areas of
dimensional nonparametric surfaces in space, Trans. Amer. Math. Soc. vol. 77 (1954) pp. 374-407. MR 0065627 (16:457e)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1960-0123681-3
PII:
S 0002-9939(1960)0123681-3
Article copyright:
© Copyright 1960 American Mathematical Society
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