Base of a deformation
From Encyclopedia of Mathematics
A conjugate net on a surface 
and its deformation 
outside their points of congruence. The base of a deformation is characterized by the fact that the bend — the relation between the normal curvatures 
and 
at isometrically-corresponding points of 
and 
along corresponding directions — has extremal values along the directions of the base of the deformation.
References
| [1] | V.F. Kagan, "Foundations of the theory of surfaces in a tensor setting" , 2 , Moscow-Leningrad (1948) (In Russian) |
Comments
For more references on the topic of deforming or bending surfaces, cf. the article Deformation, isometric.
How to Cite This Entry:
Base of a deformation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Base_of_a_deformation&oldid=32025
Base of a deformation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Base_of_a_deformation&oldid=32025
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article