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

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

2009-10-03

arxiv.org/abs/0910.0572v1

Mathematics

Analysis of PDEs

9 pages

Scientific paper

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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