A New Type of Almost Contact Manifolds.
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Tarih
2016
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Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The purpose of this paper is to study the Singuler Semi-Riemannian Almost Contact manifolds, The geometry of manifolds with degenerate indefnite metrics has becn studied by Demir Küpeli [I]. In that book it is shown that a manifold M with a degenerate indefinit metric g admits a geometric structure if and only if g is Lie parallel along the vector fields on M. In this case we call (M, g) a Singular Semi-Riemannian manifold. Then it is possible to attach a nondegenerate tangent bundle to (M, g) which admits a connection whose curvature tensor satisfies the usual identities of the curvature tensor of Levi Civita connection. We cald this connection the Kozsul Connection of (M, g). In this talk we will present Singuler Semi-Riemannian manifolds (introduced by Demir Küpeli in [1] ) with an adapted almost contact strueture. We will study the main facts about such a structure, with some examples.
Açıklama
Anahtar Kelimeler
Contact Manifolds, Almost Semi Riemannian Manifolds, Singular Manifolds, Singular Semi Riemannian Almost Contact Manifolds
Kaynak
14th International Geometry Symposium
