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CLC number: O174.5; O186
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Received: 2004-11-08
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Riemann surface with almost positive definite metric
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CHEN Zhi-guo. Riemann surface with almost positive definite metric[J]. Journal of Zhejiang University Science A, 2005, 6(7): 747-749.
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doi="10.1631/jzus.2005.A0747"
}
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DOI - 10.1631/jzus.2005.A0747
Abstract: In this paper, we consider and resolve a geometric problem by using μ(z)-homeomorphic theory, which is the generalization of quasiconformal mappings. A sufficient condition is given such that a C1-two-real-dimensional connected orientable manifold with almost positive definite metric can be made into a Riemann surface by the method of isothermal coordinates. The result obtained here is actually a generalization of Chern’s work in 1955.
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