B.Y. Chen initiated the study of the tensor product immersion of two immersions of a given Riemannian manifold (see [3]). Inspired by Chenâ€™s definition, F. Decruyenaere, F. Dillen, L. Verstraelen andâ€¦ (More)

In this paper we consider contact metric R-harmonic manifolds M with Î¾ belonging to (Îº, Î¼)-nullity distribution. In this context we have Îº â‰¤ 1. If Îº < 1, then M is either locally isometric to theâ€¦ (More)

In the present study, we considered 3-dimensional generalized (Îº, Î¼)-contact metric manifolds. We proved that a 3-dimensional generalized (Îº, Î¼)-contact metric manifold is not locally Ï†-symmetric inâ€¦ (More)

Recently, the author established a general inequality for doubly warped products in arbitrary Riemannian manifolds [14]. In the present paper, we obtain a similar inequality for doubly warpedâ€¦ (More)

In 1999, Chen established a sharp relationship between the Ricci curvature and the squared mean curvature for a submanifold in a Riemannian space form with arbitrary codimension. Similar problems forâ€¦ (More)

In this study, a geometric and experimental work of the urinary bladder of a dog is presented. Experimentally, the diameters on the neck (collum vesicae region), the body (corpus vesicae region), theâ€¦ (More)