Biharmonic classification of Riemannian manifolds

Nakai, M.; Sario, L.

doi:10.1090/S0002-9904-1971-12728-3

Bulletin of the American Mathematical Society

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ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Biharmonic classification of Riemannian manifolds
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Bull. Amer. Math. Soc. 77 (1971), 432-436

References

Stefan Bergman and M. Schiffer, Kernel functions and elliptic differential equations in mathematical physics, Academic Press, Inc., New York, N.Y., 1953. MR 0054140
Corneliu Constantinescu and Aurel Cornea, Ideale Ränder Riemannscher Flächen, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 32, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963 (German). MR 0159935, DOI 10.1007/978-3-642-87031-6
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 340633, DOI 10.5802/aif.387
Mitsuru Nakai and Leo Sario, Quasiharmonic classification of Riemannian manifolds, Proc. Amer. Math. Soc. 31 (1972), 165–169. MR 287488, DOI 10.1090/S0002-9939-1972-0287488-7
L. Sario and M. Nakai, Classification theory of Riemann surfaces, Die Grundlehren der mathematischen Wissenschaften, Band 164, Springer-Verlag, New York-Berlin, 1970. MR 0264064, DOI 10.1007/978-3-642-48269-4