Deformability of surfaces of positive curvature

S. B. Klimentov

Rostov State University

Abstract: For surfaces of positive Gaussian curvature bounded away from zero the following statement is proved: A piece of a given surface containing a preassigned finite set of points and having a Lyapunov boundary can be deformed with an arbitrary given (as large as we like) bending at these points under the condition that the area of the piece is sufficiently small.

UDC: 513.7

Received: 05.03.1975

 English version: Mathematical Notes, 1976, 19:5, 478–483

Bibliographic databases:

• 
•