Lang H (2007)
Publication Type: Other publication type
Publication year: 2007
Series: AGTM report
Pages Range: 10
Journal Issue: 271
In this article we give a sufficient condition that a simply connected flexible body does not penetrate itself, if it is subjected to a continuous deformation. It is shown that the deformation map is automatically injective, if it is just locally injective and injective on the boundary of the body. Thereby, it is very remarkable that no higher regularity assumption than continuity for the deformation map is required. The proof exclusively relies on homotopy methods and the Jordan-Brouwer separation theorem.
APA:
Lang, H. (2007). A condition that a continuously deformed, simply connected body does not penetrate itself.
MLA:
Lang, Holger. A condition that a continuously deformed, simply connected body does not penetrate itself. 2007.
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