Base Of A Deformation

From Encyclopediaofmath

A conjugate net on a surface $F$ and its deformation $F^*$ outside their points of congruence. The base of a deformation is characterized by the fact that the bend — the relation between the normal curvatures $k$ and $k^*$ at isometrically-corresponding points of $F$ and $F^*$ along corresponding directions — has extremal values along the directions of the base of the deformation.

References[edit]

[1] V.F. Kagan, "Foundations of the theory of surfaces in a tensor setting" , 2 , Moscow-Leningrad (1948) (In Russian)


Comments[edit]

For more references on the topic of deforming or bending surfaces, cf. the article Deformation, isometric.



Download as ZWI file | Last modified: 01/07/2026 04:52:54 | 8 views
☰ Source: https://encyclopediaofmath.org/wiki/Base_of_a_deformation | License: CC BY-SA 3.0

ZWI is not signed. [what is this?]