An Analytical Inflexibility of Surfaces Attached Along a Curve to a Surface Regarding a Point
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The article deals with the infinitesimal bending theory application to the knots theory. The
impact of infinitesimal bending on the torsional energy at torus knots is considered, and the …

In this paper we consider infinitesimal bending of the second order of curves and knots. The
total torsion of the knot during the second order infinitesimal bending is discussed and …

Infinitesimal bending of curves lying with a given precision on ruled surfaces in 3-
dimensional Euclidean space is studied. In particular, the bending of curves on the cylinder …

In this paper, we generalize the main ideas and statements of the theory of infinitesimal
bending in Euclidean 3‐space 𝔼 3 to dual curves in the dual 3‐space 𝔻 3. The basic …

In this paper, we investigate infinitesimal bends of two-connected surfaces of revolution on
which are given conditions that allow the points of one of the boundary parallels to move …

This paper deals with the study of torsional energy (total squared torsion) at infinitesimal
bending of curves and knots in three dimensional Euclidean space. During bending, the …

This study focused on the connections between two parametric surfaces through the given
regular curves. Accordingly, we analyzed a C0-continuous connected surface in terms of the …

Untitled Page 1 Page 2 Page 3 71 KNOT BENDING ISBN 978-608-4904-09-0 UDC:
514.752.4:515.127. 2 Marija S. Najdanović, Ljubica S. Velimirović, Svetozar R. Rančić …

One of the consequential problems in the theory of infinitesimal bendings of surfaces is the
problem of the rigidity of surfaces in various classes of their deformations. The magnitude of …