Nonrigidity of a class of two dimensional surfaces with positive curvature and planar points
Analysis of PDEs
2009-10-06 v1 Differential Geometry
Abstract
Nontrivial infinitesimal bendings for a class of two-dimensional surfaces are constructed. The surfaces considered here are orientable; compact; with boundary; have positive curvature everywhere except at finitely many planar points; and have vanishing first homology group.As a consequence, a nonrigidity result for such surfaces is deduced.
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Cite
@article{arxiv.0910.0572,
title = {Nonrigidity of a class of two dimensional surfaces with positive curvature and planar points},
author = {Abdelhamid Meziani},
journal= {arXiv preprint arXiv:0910.0572},
year = {2009}
}
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9 pages