An inequality for warped product submanifolds of a locally product Riemannian manifold
Recently, Sahin studied the warped product semi-slant submanifolds of locally product Riemannian manifolds. In this paper, we obtain some geometric properties of such submanifolds with an example. Also, we establish a sharp relationship between the squared norm of the second fundamental form and the warping function in terms of the slant angle. The equality case is also considered.
Keywords:
slant submanifolds, semi-slant submanifolds, mixed totally geodesic warped product semi-slant submanifolds, locally product Riemannian manifolds,
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- Yayın Aralığı: Yılda 6 Sayı
- Başlangıç: 2002
- Yayıncı: Hacettepe Üniversitesi Fen Fakultesi