Umbilical surfaces of products of space forms

Jaime Orjuela; Ruy Tojeiro

arxiv: 1310.2652 · v3 · pith:F4QDDXJSnew · submitted 2013-10-09 · 🧮 math.DG

Umbilical surfaces of products of space forms

Jaime Orjuela , Ruy Tojeiro This is my paper

classification 🧮 math.DG

keywords formsspacesurfacesumbilicalarbitraryclassificationcodimensioncomplete

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We give a complete classification of umbilical surfaces of arbitrary codimension of a product $Q^{n_1}_{k_1}\times Q^{n_2}_{k_2}$ of space forms whose curvatures satisfy $k_1 + k_2 \not= 0$.

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Umbilical surfaces of products of space forms

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