Query on transformation representing deformation fo space , change of basis and orthogonal nature
Hello All
I am trying to read the text book Tensor analysis by IS Sokolnikoff and stuck in
chaper 1, there is some confusion in my mind regarding orthogonal transformations,
change of basis and and a transformation representing deformation of space.
Please bear with me if my confusions are unfounded.
1) Is is safe to say that transformation representing deformation of space acts on
vectors where as transformations representing the change of basis acts on
components?. (if yes then the following questions are resolved and need not be
looked)
2) Sokolnikoff builds up the reasoning for orthogonal transformations based on
deformation of space (i.e orthogonal transofrmations keep the length of vector