Literature cited
G. H. Smith, “Analytic extension of Riemannian manifolds,” Bull. Austral. Math. Soc.,18, No. 1, 147–148 (1978).
Sh. Kobayasi and K. Nomidzu, Foundations of Differential Geometry [in Russian], Vol. I, Nauka, Moscow (1981).
N. Bourbaki, Theory of Sets, Addison-Wesley (1968).
S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press (1962).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 36, No. 4, pp. 559–570, October, 1984.
The author is deeply grateful to P. K. Rashevskii for setting the problem and for his great attention to the work.
Rights and permissions
About this article
Cite this article
Popov, V.A. Analytic extension of locally defined Riemannian manifolds. Mathematical Notes of the Academy of Sciences of the USSR 36, 776–781 (1984). https://doi.org/10.1007/BF01156468
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01156468