Rigidity of bordered polyhedral surfaces
نویسندگان
چکیده
This paper investigates the rigidity of bordered polyhedral surfaces. Using variational principle, we show that surfaces are determined by boundary value and discrete curvatures on interior edges. As a corollary, reprove classical result two Euclidean cyclic polygons (or hyperbolic polygons) congruent if lengths their sides equal.
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2023
ISSN: ['0944-2669', '1432-0835']
DOI: https://doi.org/10.1007/s00526-022-02422-1