BİLDİRİ DETAY

Nergiz (ÖNEN) POYRAZ
SCREEN CONFORMAL HALF LIGHTLIKE SUBMANIFOLDS OF A GOLDEN SEMI-RIEMANNIAN MANIFOLD
 
Manifolds which is determined differentiable geometric structures have varied geo- metric structures. These manifolds and the transformations between them have been studied extensively in differential geometry. Particularly, almost complex manifolds, almost contact manifolds and almost product manifolds and maps between have been studied extensively by many authors. One of these structures is golden structure, which is inspired by the Golden ratio. Let be semi-Riemannian manifold. If an (1,1)-tensor field satisfies the equation , then is a Golden structure on a m-dimensional semi-Riemannian manifold , where 𝐼𝑑 is identity map on . Moreover, , the semi-Riemannian metric is called -compatible and is called a Golden semi-Riemannian manifold. Golden structure on the semi-Riemannian manifold provides important geometrical results on the submanifolds. Therefore, it has been extensively studied. The main purpose of the presentation is to study the geometry of screen conformal screen semi-invariant half lightlike submanifolds of a golden semi-Riemannian manifold. We show that if is a screen conformal totally umbilical screen semi-invariant half lightlike submanifold of a golden semi-Riemannian manifold, then and are totally geodesic. We obtain necessary and sufficient conditions for screen conformal screen semi-invariant half lightlike submanifold to be locally lightlike product manifolds. Moreover, we prove that there is no screen conformal screen semi-invariant half lightlike submanifold of a locally Golden product space form with .

Anahtar Kelimeler: Golden Semi-Riemannian Manifolds, Half Lightlike Submanifolds, Screen Semi-Invariant Lightlike Submanifolds, Screen Conformal



 


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