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Theses

On several problems of differential geometry related to the theory of elasticity

Abstract : This thesis studies the connections between the differential geometry and the theory of linear and nonlinear elasticity. Based on this analogy, we establish some new results in elasticity and in differential geometry.
In the first two chapters, we show that Korn's inequality on a surface is a corsequence of the three-dimensional Korn inequality in curvilinear coordinates and establish an inequality of Korn's type on a compact surface without boundary. In the last two chapters, we establish some results in differential geometry concerning the Riemannian spaces and the surfaces under weak regularity assumptions on the data. In the appendix, we present some results in analysis that are used in the thesis.
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Theses
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https://tel.archives-ouvertes.fr/tel-00270549
Contributor : Sorin Mardare <>
Submitted on : Saturday, April 5, 2008 - 5:26:32 PM
Last modification on : Wednesday, December 9, 2020 - 3:16:25 PM
Long-term archiving on: : Friday, September 28, 2012 - 12:17:13 PM

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  • HAL Id : tel-00270549, version 1

Citation

Sorin Mardare. On several problems of differential geometry related to the theory of elasticity. Mathematics [math]. Université Pierre et Marie Curie - Paris VI, 2003. English. ⟨tel-00270549⟩

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