WEAK CONTINUITY OF THE GAUSS-CODAZZI-RICCI SYSTEM FOR ISOMETRIC EMBEDDING
We establish the weak continuity of the Gauss-Coddazi-Ricci system for isometric embedding with respect to the uniform Lp-bounded solution sequence for p > 2, which implies that the weak limit of the isometric embeddings of the manifold in a fixed coordinate chart is an isometric immersion. M...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2010
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