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Title: On the rigidity of a glued piecewise convex surface

Journal Article · · Sbornik. Mathematics
;  [1]
  1. Rostov State University, Rostov-on-Don (Russian Federation)

A rigidity test is considered for a piecewise convex surface glued from C{sup 2}-smooth pieces of convex surfaces with piecewise regular boundaries. The entire surface does not have to be convex; moreover, non-convex surfaces with the so-called A-star-shape condition are allowed. This condition is a broad generalization of the ordinary star-shape condition; it means that the points of the surface are accessible by a certain family of curves. (In the case of the ordinary star-shape condition this family of curves consists of straight rays emanating from one point inside the surface.)

OSTI ID:
21205659
Journal Information:
Sbornik. Mathematics, Vol. 193, Issue 2; Other Information: DOI: 10.1070/SM2002v193n02ABEH000628; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
Country of Publication:
United States
Language:
English

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