Second-order parabolic equations in principal fibre bundles and associated vector bundles

1990 ◽  
pp. 187-200
Author(s):  
Ya. I. Belopol'skaya
Keyword(s):  
Parabolic Equations ◽  
Vector Bundles ◽  
Second Order ◽  
Fibre Bundles ◽  
Principal Fibre ◽  
Principal Fibre Bundles

On an Almost Complex Manifold Approach to Elementary Particles

1977 ◽  
Vol 32 (11) ◽  
pp. 1215-1221
Author(s):  
Julian Ławrynowicz ◽  
Leszek Wojtczak
Keyword(s):  
Complex Manifold ◽  
Nuclear Reactions ◽  
Main Idea ◽  
Elementary Particles ◽  
Fibre Bundles ◽  
Almost Complex Manifold ◽  
Minkowski Space Time ◽  
Almost Complex ◽  
Principal Fibre ◽  
Principal Fibre Bundles

Abstract An almost complex manifold description of elementary particles is proposed which links the approaches given independently by J. Ławrynowicz and L. Wojtczak, and by C. von Westenholz. This description leads to relations between the curvature form of an almost complex manifold, which accounts for the symmetry classification schemes within the frame of principal fibre bundles, and a curved Minkowski space-time via induced smooth mappings characterizing nuclear reactions of type N+π⇄N, where N is some nucleon and π the virtual π-meson of this reaction. Both approaches follow the same main idea of D. A. Wheeler developed in a different way by A.D. Sakharov.

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