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A time-like surface in Minkowski 3-space which contains pseudocircles

Published online by Cambridge University Press:  20 January 2009

Shyuichi Izumiya  and
Akihiro Takiyama
Shyuichi Izumiya
Affiliation:
Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060, Japan
Akihiro Takiyama
Affiliation:
Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060, Japan
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Abstract

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Simple characterizations of a pseudosphere or a plane in Minkowski 3-space by the existence of pseudocircles are given.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 40 , Issue 1 , February 1997 , pp. 127 - 136
Copyright
Copyright © Edinburgh Mathematical Society 1997

References

REFERENCES

1. Izumiya, S. and Takiyama, A., A time-like surface in Minkowski 3-space which contains light-like lines, preprint (1995).Google Scholar
2. Ogiue, K. and Takagi, R., A submanifold which contains Many Extrinsic Circles, Tsukuba J. Math. 8 (1984), 171–182.CrossRefGoogle Scholar
3. O'Neill, B. Semi-Riemannian Geometry (Academic Press, New York, 1983).Google Scholar