Open AccessFrom Differential Geodesy to Differential Geophysics
Author(s) -
Bocchio F.
Publication year - 1974
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1974.tb05435.x
Subject(s) - holonomic , differential form , geophysics , scalar (mathematics) , differential geometry , mathematics , tensor field , generalization , integrable system , geometry , geology , mathematical analysis , physics , exact solutions in general relativity , quantum mechanics
Summary The geometry of holonomic and non‐holonomic reference systems is considered with the purpose of getting an intrinsic description of physical events taking place in the Earth's spatial region without being involved with a non‐vanishing Cartan torsion and thus with non‐integrable co‐ordinates; furthermore it is shown that when a scalar field is a relevant physical parameter of the problem, the geometrical structure of the former is completely defined by a generalization of the Marussi tensor. Finally the non‐Riemannian character of the geometry involved with a new definition of parallelism for vector quantities of geophysical interest is revealed.