Study of generalized translation conditions for a class of surfaces of positive curvature

V. V. Kazak

Rostov State University

Abstract: Infinitesimal deformations of surfaces of positive curvature which satisfy a strong umbilicity condition at some point are studied under a generalized translation boundary condition. Families of vector fields are isolated among which there can exist not more than a countable set of characteristic vector fields with the generalized translation condition.

UDC: 513.7

Received: 25.03.1974

 English version: Mathematical Notes, 1975, 18:1, 651–655

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