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Algebraic Riemann manifolds

Published online by Cambridge University Press:  22 January 2016

Kazuo Yamato
Kazuo Yamato*
Affiliation:
Department of Mathematics, College of General Education, Nagoya University, Chikusa-ku, Nagoya 464, Japan
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In the present paper, we are concerned with the problem to know whether two algebraic Riemann manifolds are isometric or not, where we mean Riemann manifolds of class CΩ (real algebraic smoothness or Nash category) simply by algebraic Riemann manifolds.

For this purpose we introduce notions of minimal differential polynomials and singular base points, both of which are isometry invariants. With the aid of these invariants, we give the following isometry theorem for algebraic Riemann manifolds:

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 115 , September 1989 , pp. 87 - 104
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1989

References

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