On the Rigidity of a Class of Glued Surfaces

L. P. Fomenko

Taganrog State Pedagogical Institute

Abstract: The method of integral formulas is applied to prove the rigidity of a class of closed nonconvex surfaces obtained by gluing together regular pieces of surfaces of positive Gaussian curvature with smooth boundaries.

UDC: 517

Received: 05.05.1997
Revised: 25.08.2002

DOI: 10.4213/mzm193

 English version: Mathematical Notes, 2003, 73:3, 383–388

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