منابع مشابه
Minimal translation surfaces in hyperbolic space
In the half-space model of hyperbolic space, that is, R+ = {(x, y, z) ∈ R ; z > 0} with the hyperbolic metric, a translation surface is a surface that writes as z = f(x) + g(y) or y = f(x) + g(z), where f and g are smooth functions. We prove that the only minimal translation surfaces (zero mean curvature in all points) are totally geodesic planes. MSC: 53A10
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 2012
ISSN: 0025-5645
DOI: 10.2969/jmsj/06430985