Abstract
We consider rigid (in the class of analytic infinitesimal bendings) analytic surfaces with an isolated point of flattening and positive Gaussian curvature around this point. It is proved that such surfaces are rigid 'in the small' in the class . The proof is based on the study of the asymptotic behaviour of the field of infinitesimal bending in a neighbourhood of the point of flattening and subsequent application of the techniques of the theory of generalized Cauchy-Riemann systems with a singularity in the coefficients.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
