We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Weakly Einstein Equivalence in a Golden Space Form and Certain CR-submanifolds.
- Authors
Kim, Jihun; Park, Jeonghyeong; Şahin, Bayram
- Abstract
It is known that the Golden space form may not be an Einstein manifold. In this paper, it is shown that the condition to be Einstein for a Golden space form is equivalent to being weakly Einstein. In addition, the partial geodesic and cyclic parallelism of the CR-submanifolds of a Golden space are examined, and the case of the constant Golden sectional curvature is determined. Moreover, the CR-submanifolds with semi-flat normal connection are studied and an inequality is obtained. The equality case of this inequality is also checked. We also consider the totally umbilical CR-submanifold of Golden Riemannian manifolds and show that such submanifolds are totally geodesic under certain conditions. Furthermore, we obtain an inequality involving the scalar curvature of CR-submanifold and check the existence of extrinsic spheres in Golden space forms.
- Subjects
EINSTEIN, Albert, 1879-1955; SUBMANIFOLDS; EINSTEIN manifolds; RIEMANNIAN manifolds; GEODESICS; CURVATURE; SPHERES
- Publication
Mathematica Slovaca, 2023, Vol 73, Issue 6, p1615
- ISSN
0139-9918
- Publication type
Article
- DOI
10.1515/ms-2023-0117