Recovery of Immersions from Their Metric Tensors and Nonlinear Korn Inequalities : A Brief Survey
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 253-280 |
| Journal / Publication | Chinese Annals of Mathematics. Series B |
| Volume | 38 |
| Issue number | 1 |
| Online published | 5 Jan 2017 |
| Publication status | Published - Jan 2017 |
Link(s)
Abstract
The authors discuss the existence and uniqueness up to isometries of En of immersions φ : Ω ⊂ Rn → En with prescribed metric tensor field (gij) : Ω → S>n, and discuss the continuity of the mapping (gij) → Φ defined in this fashion with respect to various topologies. In particular, the case where the function spaces have little regularity is considered. How, in some cases, the continuity of the mapping (gij) → Φ can be obtained by means of nonlinear Korn inequalities is shown.
Research Area(s)
- Isometric immersions, Metric tensor, Nonlinear Korn inequalities
Citation Format(s)
Recovery of Immersions from Their Metric Tensors and Nonlinear Korn Inequalities: A Brief Survey. / CIARLET, Philippe G.; MARDARE, Cristinel; MARDARE, Sorin.
In: Chinese Annals of Mathematics. Series B, Vol. 38, No. 1, 01.2017, p. 253-280.
In: Chinese Annals of Mathematics. Series B, Vol. 38, No. 1, 01.2017, p. 253-280.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
