We study the topological structure of closed connected 4-manifolds according to regular genus. In particular, we prove that the topological product of two copies of the 2-sphere (respectively, the real projective 4-space) is the unique prime closed orientable (respectively, non-orientable) 4-manifold of regular genus 4 (respectively, 6).
On classification of 4-manifolds according to genus / Cavicchioli, Alberto; M., Meschiari. - In: CAHIERS DE TOPOLOGIE ET GÉOMÉTRIE DIFFÉRENTIELLE CATÉGORIQUES. - ISSN 1245-530X. - STAMPA. - 34 (1):(1993), pp. 37-56.
On classification of 4-manifolds according to genus
CAVICCHIOLI, Alberto;
1993
Abstract
We study the topological structure of closed connected 4-manifolds according to regular genus. In particular, we prove that the topological product of two copies of the 2-sphere (respectively, the real projective 4-space) is the unique prime closed orientable (respectively, non-orientable) 4-manifold of regular genus 4 (respectively, 6).
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