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Normal curvature of
surfaces in space forms
Irwen Valle Guadalupe and Lucio Ladislao Rodriguez |
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Vol. 106 (1983), No. 1, 95–103
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Abstract |
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Using the notion of the ellipse of curvature we study compact surfaces in high dimensional space forms. We obtain some inequalities relating the area of the surface and the integral of the square of the norm of the mean curvature vector with topological invariants. In certain cases, the ellipse is a circle; when this happens, restrictions on the Gaussian and normal curvatures give us some rigidity results. |
Mathematical Subject Classification 2000
Primary: 53C42
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Milestones
Received: 29 September 1981
Published: 1 May 1983
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Authors |
| Irwen Valle Guadalupe | |
| Lucio Ladislao Rodriguez | |
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