S^1 \times S^2 as a bag membrane and its Einstein-Weyl geometry

Details S^1 \times S^2 as a bag membrane and its Einstein-Weyl geometry S^1 \times S^2 as a bag membrane and its Einstein-Weyl geometry

1994-06-09

arxiv.org/abs/gr-qc/9406017v2

Nuovo Cim.A107:1543-1548,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9pp in latex, minor corrections

Scientific paper

10.1007/BF02780688

In the hybrid skyrmion in which an Anti-de Sitter bag is imbedded into the skyrmion configuration a S^{1}\times S^{2} membrane is lying on the compactified spatial infinity of the bag [H. Rosu, Nuovo Cimento B 108, 313 (1993)]. The connection between the quark degrees of freedom and the mesonic ones is made through the membrane, in a way that should still be clarified from the standpoint of general relativity and topology. The S^1 \times S^2 membrane as a 3-dimensional manifold is at the same time a Weyl-Einstein space. We make here an excursion through the mathematical body of knowledge in the differential geometry and topology of these spaces which is expected to be useful for hadronic membranes

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