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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Quasiharmonic classification of Riemannian manifolds

Authors: Mitsuru Nakai and Leo Sario
Journal: Proc. Amer. Math. Soc. 31 (1972), 165-169
MathSciNet review: 0287488
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Abstract: In the study of the structure of the space of biharmonic functions it is often necessary to impose some nondegeneracy condition on the base manifold with respect to quasiharmonic functions (cf. [2], [4]). For this reason it is useful to introduce various quasiharmonically degenerate classes of Riemannian manifolds and to investigate relations among them. This is the purpose of the present note.

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  • [5] L. Sario and M. Nakai, Classification theory of Riemann surfaces, Die Grundlehren der math. Wissenschaften, Band 164, Springer-Verlag, Berlin and New York, 1970. MR 0264064 (41:8660)

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Article copyright: © Copyright 1972 American Mathematical Society

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