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On Geometry of Point Defects and Dislocations The Meaning of the Third Identity of Curvature Tensor
Author(s) -
Günther H.,
Zorawski M.
Publication year - 1985
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19854970107
Subject(s) - curvature , geometry , curved space , point (geometry) , tensor (intrinsic definition) , identity (music) , riemann curvature tensor , space (punctuation) , physics , mathematics , classical mechanics , computer science , acoustics , operating system
The aim of this paper is to proof mathematically that, as far as flat space geometry is considered, there is no geometrical interaction between point defects and dislocations. Point defects giving rise to non flat geometry have a more general geometrical structure. In this case the so called third identity of the curvature tensor starts to play an important role.