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arXiv · 0910.0572

Nonrigidity of a class of two dimensional surfaces with positive curvature and planar points

Abdelhamid Meziani
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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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Abdelhamid Meziani. 2009-10-03. Nonrigidity of a class of two dimensional surfaces with positive curvature and planar points. https://arxiv.org/abs/0910.0572

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