scholarly journals Spinor fields in general Newton-Cartan backgrounds

2015 ◽  
Vol 92 (12) ◽  
Author(s):  
John F. Fuini ◽  
Andreas Karch ◽  
Christoph F. Uhlemann
Keyword(s):  
2011 ◽  
Vol 44 (1) ◽  
pp. 253-261 ◽  
Author(s):  
Vladimir Dzhunushaliev ◽  
Vladimir Folomeev
Keyword(s):  

2002 ◽  
Vol 369 (1-4) ◽  
pp. 370-373 ◽  
Author(s):  
Valerio Dallacasa
Keyword(s):  

2002 ◽  
Vol 13 (05) ◽  
pp. 533-548 ◽  
Author(s):  
NICOLAS GINOUX ◽  
BERTRAND MOREL

We give lower bounds for the eigenvalues of the submanifold Dirac operator in terms of intrinsic and extrinsic curvature expressions. We also show that the limiting cases give rise to a class of spinor fields generalizing that of Killing spinors. We conclude by translating these results in terms of intrinsic twisted Dirac operators.


1972 ◽  
Vol 50 (18) ◽  
pp. 2100-2104 ◽  
Author(s):  
Mark S. Drew

Conformally covariant equations for free spinor fields are determined uniquely by carrying out a descent to Minkowski space from the most general first-order rotationally covariant spinor equations in a six-dimensional flat space. It is found that the introduction of the concept of the "conformally invariant mass" is not possible for spinor fields even if the fields are defined not only on the null hyperquadric but over the entire manifold of coordinates in six-dimensional space.


1976 ◽  
Vol 56 (1) ◽  
pp. 14 ◽  
Author(s):  
V.G. Kreczet ◽  
V.N. Pnomariev

2005 ◽  
Vol 14 (01) ◽  
pp. 185-185
Author(s):  
E. CAPELAS DE OLIVEIRA ◽  
W. A. RODRIGUES

Metaphysics ◽  
2020 ◽  
pp. 82-93
Author(s):  
V. G Krechet

In this article, within the framework of general relativity, the possible effect of the gravitational interaction of Dirac nonlinear spinor fields on the evolution of the Universe, on the formation of astrophysical objects and on the formation of the geometry of the local space-time of elementary particles with spin ħ / 2 is considered.


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