Results 261 to 270 of about 2,884 (298)

Derivation of Dirac's equation from conformal differential geometry

AIP Conference Proceedings, 2012
A rigorous ab initio derivation of the (square of) Dirac's equation for a single particle with spin is presented. The theory is carried out in the framework of an approach where it is assumed that quantum phenomena originate from the interplay between the motion of a relativistic spherical top and the non trivial background geometry of its ...
Francesco De Martini, Enrico Santamato
exaly   +3 more sources

Conformal Differential Geometry and Its Generalizations

, 1996
Comprehensive coverage of the foundations, applications, recent developments, and future of conformal differential geometry Conformal Differential Geometry and Its Generalizations is the first and only text that systematically presents the foundations ...
Maks A. Akivis, Vladislav V. Goldberg
openaire   +2 more sources

Conformal Differential Geometry

, 1955
This thesis is a study of some properties of arcs which remain invariant under certain types of conformal representations. The study is carried on first in the conformal plane, then in conformal 3-space, and finally in conformal n-space. It is comprised of most of the research on this subject which has been carried on to date by Professors N.D.
Sherk, Frank Arthur
openaire   +2 more sources

Differential equations and conformal geometry

Journal of Geometry and Physics, 2002
The solution space of certain classes of differential equations whose local solutions are parametrized by three or four arbitrary constants can be endowed with a conformal Lorentzian metrics in a natural way. In this paper it is proved that this conformal structure is preserved when the differential equations are transformed by a contact transformation.
Frittelli, Simonetta, Kamran, Niky, Newman, Ezra T.   +2 more
openaire   +2 more sources

Derivation of the Dirac Equation by Conformal Differential Geometry

Foundations of Physics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SANTAMATO, ENRICO, Francesco Martini
openaire   +2 more sources

Conformally-differential geometry of submanifolds

Journal of Mathematical Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Differential geometry and protein conformation. V. Medium‐range conformational influence of the individual amino acids

Biopolymers, 1987
AbstractA previous differential geometric analysis of the conformational properties of the various amino acids has been extended to study their influence on folding over a larger backbone interval. In addition, statistical effects associated with variation in the number of the individual amino acids in the database have been treated in greater detail ...
S, Rackovsky, D A, Goldstein
openaire   +2 more sources

Basic Operators in Differential Geometry and Conformal Covariance

2016
In this chapter we collect some elementary properties of basic operators such as the Hodge star operator, the codifferential d*, and the interior multiplication iNY (X) by the normal vector field for hypersurfaces Y in pseudo-Riemannian manifolds X.
Toshiyuki Kobayashi, Toshihisa Kubo, Michael Pevzner   +2 more
openaire   +1 more source

Conformal Geometry, Hotine's Conjecture, and Differential Geodesy.

1987
Abstract : This report, is based on the Ph.D. dissertation of Wayne Moore, together with a supplement describing details of our recent resolution of Hotine's Conjecture, is a more comprehensive version of a paper of ours which will appear in Bulletion Geodesique.
Wayne A. Moore, Joseph D. Zund
openaire   +1 more source

Conformal Geometry, Differential Equations and Associated Transformations

2002
By a series of examples, we illustrate some rather remarkable and surprising (at least to some) relationships between (1) all three-dimensional conformal Lorentzian manifolds and a wide class of 3rd order ODEs (all 3rd order ODEs with vanishing Wunschmann invariant) and (2) all four dimensional conformal Lorentzian manifolds and a wide class of pairs ...
Simonetta Frittelli, Niky Kamran, Ezra T. Newman   +2 more
openaire   +1 more source