|
|
Slant Submanifolds of Golden Riemannian Manifolds
|
|
|
|
|
نویسنده
|
bahadır oguzhan ,uddin siraj
|
منبع
|
journal of mathematical extension - 2019 - دوره : 13 - شماره : 4 - صفحه:23 -39
|
چکیده
|
In this paper, we study slant submanifolds of riemannian manifolds with golden structure. a riemannian manifold $(tilde{m},tilde{g},{varphi})$ is called a golden riemannian manifold if the $(1,1)$ tensor field ${varphi}$ on $tilde{m}$ is a golden structure, that is ${varphi}^{2}={varphi}+i$ and the metric $tilde{g}$ is ${varphi}-$ compatible. first, we get some new results for submanifolds of a riemannian manifold with golden structure. later we characterize slant submanifolds of a riemannian manifold with golden structure and provide some non-trivial examples of slant submanifolds of golden riemannian manifolds.
|
کلیدواژه
|
Invariant submanifolds; anti-invariant; slant submanifolds; Golden structure; Riemannian manifolds
|
آدرس
|
kennesaw state university (k.s.u.), faculty of arts and sciences, department of mathematics, Turkey, king abdulaziz university, faculty of science, department of mathematics, Saudi Arabia
|
پست الکترونیکی
|
siraj.ch@ gmail.com
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|