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Biharmonic classification of Riemannian manifolds
Authors:
M. Nakai and L. Sario
Journal:
Bull. Amer. Math. Soc. 77 (1971), 432-436
MSC (1970):
Primary 3130, 3045
MathSciNet review:
0278234
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
Stefan
Bergman and M.
Schiffer, Kernel functions and elliptic differential equations in
mathematical physics, Academic Press Inc., New York, N. Y., 1953. MR 0054140
(14,876d)
- 2.
Corneliu
Constantinescu and Aurel
Cornea, Ideale Ränder Riemannscher Flächen,
Ergebnisse der Mathematik und ihrer Grenzgebiete, N. F., Bd. 32,
Springer-Verlag, Berlin, 1963 (German). MR 0159935
(28 #3151)
- 3.
Y.
K. Kwon, L.
Sario, and B.
Walsh, Behavior of biharmonic functions on Wiener’s and
Royden’s compactifications, Ann. Inst. Fourier (Grenoble)
21 (1971), no. 3, 217–226 (English, with French
summary). MR
0340633 (49 #5385)
- 4.
Mitsuru
Nakai and Leo
Sario, Quasiharmonic classification of
Riemannian manifolds, Proc. Amer. Math.
Soc. 31 (1972),
165–169. MR 0287488
(44 #4692), http://dx.doi.org/10.1090/S0002-9939-1972-0287488-7
- 5.
L.
Sario and M.
Nakai, Classification theory of Riemann surfaces, Die
Grundlehren der mathematischen Wissenschaften, Band 164, Springer-Verlag,
New York, 1970. MR 0264064
(41 #8660)
- 1.
- S. Bergman and M. Schiffer, Kernel functions and elliptic differential equations in mathematical physics, Academic Press, New York, 1953. MR 14, 876. MR 54140
- 2.
- C. Constantinescu and A. Cornea, Ideale Ränder Riemannscher Flächen, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 32, Springer-Verlag, Berlin, 1963. MR 28 #3151. MR 159935
- 3.
- Y. K. Kwon, L. Sario and B. Walsh, Behavior of biharmonic functions on Wiener's and Royden's compactifications, Ann. Inst. Fourier (Grenoble) (to appear). MR 340633
- 4.
- M. Nakai and L. Sario, Quasiharmonic classification of Riemannian manifolds, Proc. Amer. Math. Soc. (to appear). MR 287488
- 5.
- L. Sario and M. Nakai, Classification theory of Riemann surfaces, Die Grundlehren der math. Wissenschaften, Band 164, Springer-Verlag, New York, 1970. MR 264064
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1971-12728-3
PII:
S 0002-9904(1971)12728-3
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