Another approach to the fundamental theorem of Riemannian geometry in , by way of rotation fields

✍ Scribed by Philippe G. Ciarlet; Liliana Gratie; Oana Iosifescu; Cristinel Mardare; Claude Vallée

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 227 KB
• Volume: 87
• Category: Article
• ISSN: 0021-7824
• DOI: 10.1016/j.matpur.2006.10.009

✦ Synopsis

In 1992, C. Vallée showed that the metric tensor field C = ∇ T ∇ associated with a smooth enough immersion : Ω → R 3 defined over an open set Ω ⊂ R 3 necessarily satisfies the compatibility relation