Results 221 to 230 of about 2,281 (262)

Partial Differential Equations in Conformal Geometry

Journal of Mathematical Sciences, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

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 ...
Enrico Santamato, Francesco De Martini
exaly   +3 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   +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

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   +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

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