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Differential geometry of complex projective space curves

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Abstract

We give explicit formulas for the Gaussian curvature and other differential geometric functions of a holomorphic curve in complex projective space. It is proved that the curve is uniquely determined by these functions up to an isometry of the ambient space.

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Fischer, G. Differential geometry of complex projective space curves. Manuscripta Math 45, 47–59 (1983). https://doi.org/10.1007/BF01168579

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  • DOI: https://doi.org/10.1007/BF01168579

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