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JOURNALS // Vladikavkazskii Matematicheskii Zhurnal // Archive

Vladikavkaz. Mat. Zh., 2013 Volume 15, Number 2, Pages 35–44 (Mi vmj460)

Infinitesimal MG-deformations of ovaloid

D. A. Zhukov

Taganrog State Pedagogical Institute, Taganrog, Russia

Abstract: We consider infinitesimal deformations of a closed surface with positive Gaussian curvature, under which the variation of Gaussian curvature is given as a function on a surface and the Grassman image is kept invariant.

Key words: ovaloid, Grassman image, Gaussian curvature, infinitesimal deformations, rigidity.

UDC: 514.75/.77

Received: 05.05.2011



© Steklov Math. Inst. of RAS, 2024