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By Shoshichi Kobayashi, Katsumi Nomizu. The Gauss map 6 3. Equations of Gauss and Codazzi 22 5. Hypersurfaces in a Euclidean space 29 6. Type number and rigidity 42 7. Auto-parallel submanifolds and totally geodesic submanifolds 53 Chapter VIII Variations of the Length Integral 1.
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