Holomorphic Embedding of Complex Curves in Spaces of Constant Holomorphic Curvature
نویسندگان
چکیده
منابع مشابه
Holomorphic embedding of complex curves in spaces of constant holomorphic curvature.
A special case of Wirtinger's theorem asserts that a complex curve (two-dimensional) holomorphically embedded in a Kaehler manifold is a minimal surface. The converse is not necessarily true. Guided by considerations from the theory of moduli of Riemann surfaces, we discover (among other results) sufficient topological and differential-geometric conditions for a minimal (Riemannian) immersion o...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1972
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.69.3.633