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arXiv · 2012.02132

Spherical type surfaces via support function

Milton Javier Cardenas Mendez·Armando Mauro Vasquez Corro
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Abstract

In this work we define the surfaces spherical type via support function (in short, SS-surfaces). We present a Weierstrass type representation for SS-surfaces with prescribed Gauss map which depends on two holomorphic functions. Also, we use this representation to classify the surfaces of rotation. Moreover, we show that every compact and connected SS-surface is the sphere and we give explicit examples of SS-surfaces.

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Milton Javier Cardenas Mendez, Armando Mauro Vasquez Corro. 2020-12-03. Spherical type surfaces via support function. https://arxiv.org/abs/2012.02132

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