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An ordinary differential equation arising in the Ricci flow on the plane

Published online by Cambridge University Press:  17 February 2009

Jong-Shenq Guo
Affiliation:
Department of Mathematics, National Taiwan Normal University, 88, Sec. 4, Ting-Chou Road, Taipei 117, Taiwan. E-mail addresses: [email protected] and [email protected].
Yung-Jen Lin Guo
Affiliation:
Department of Mathematics, National Taiwan Normal University, 88, Sec. 4, Ting-Chou Road, Taipei 117, Taiwan. E-mail addresses: [email protected] and [email protected].
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Abstract

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We consider an ordinary differential equation arising in the study of the Ricci flow on R2. The existence and uniqueness of solutions of this equation are derived. We then study the asymptotic behaviour of these solutions at ±∞.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2001

References

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