Special Warped-Like Product Manifolds with (Weak) G 2 Holonomy

Autor:	S. Uğuz
Rok vydání:	2014
Předmět:	Constant curvature Pure mathematics General Mathematics Product (mathematics) Ricci-flat manifold Simply connected space Mathematical analysis Holonomy Mathematics::Differential Geometry Orthonormal frame Riemannian manifold Hyperkähler manifold Mathematics
Zdroj:	Ukrainian Mathematical Journal. 65:1257-1272
ISSN:	1573-9376 0041-5995
Popis:	By using the fiber-base decompositions of manifolds, the definition of warped-like product is regarded as a generalization of multiply warped product manifolds, by allowing the fiber metric to be not block diagonal. We consider the (3 + 3 + 1) decomposition of 7-dimensional warped-like product manifolds, which is called a special warped-like product of the form M = F × B; where the base B is a onedimensional Riemannian manifold and the fiber F has the form F = F 1 × F 2 where F i ; i = 1, 2, are Riemannian 3-manifolds. If all fibers are complete, connected, and simply connected, then they are isometric to S 3 with constant curvature k > 0 in the class of special warped-like product metrics admitting the (weak) G 2 holonomy determined by the fundamental 3-form.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0c455ff151786a9fa2773922d83c7874 https://doi.org/10.1007/s11253-014-0856-4 Zobrazit plný text záznamu Plný text ve formátu PDF